In this article, two methods are presented, proposed method 1 and proposed method 2. Proposed method 1 is based on linear programming technique and proposed method 2 is based on modified distribution method. Both of the methods are used to solve the balanced and unbalanced intuitionistic fuzzy transportation problems. The ideas of the proposed methods are illustrated with the help of real life numerical examples which is followed by the results and discussion and comparative study is given. The proposed method is computationally very simple when compared to the existing methods, it is shown to be and easier form of evaluation when compared to current methods.
In solving real life assignment problem we often face the state of uncertainty as well as hesitation due to various uncontrollable factors. To deal with uncertainty and hesitation many authors have suggested the intuitionistic fuzzy representations for the data. So, in this paper, the authors consider the assignment problem having uncertainty and hesitation in cost/time/profit. They formulate the problem and utilize triangular intuitionistic fuzzy numbers (TIFNs) to deal with uncertainty and hesitation. The authors propose a new method called PSK (P.Senthil Kumar) method for finding the intuitionistic fuzzy optimal cost/time/profit for fully intuitionistic fuzzy assignment problem (FIFAP). The proposed method gives the optimal object value in terms of TIFN. The main advantage of this method is computationally very simple, easy to understand. Finally the effectiveness of the proposed method is illustrated by means of a numerical example which is followed by graphical representation of the finding.
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Early Career Faculties (ECFs) are an important demographic of university faculty population shaping the future of the institution and higher education, despite the challenges they face as new academics. Analysis of scholarly output on ECFs offers useful data to inform and aid both national policy formulations and institutional planning decisions especially in ECFs’ support and development. Peer-reviewed high impact journals and academic databases provide highly valid and reliable sources of data and information on ECFs. This study examines the trend of ECFs research over two decades comparing scholarly output and research impact across global regions, in Web of Science and Scopus Elsevier. The bibliometric analysis highlights key topics of research and publications related to ECFs and identify the regions and countries most actively research on the topic. The trend of research on ECFs has been found to increase exponentially beginning the 1990s worldwide, mostly from western institutions (76%). Publications after the year 2012 focused more on issues related to ECFs’ preparation towards life in academia, their motivation, and challenges, the support structure for ECFs and strategies to adapt to life as faculty members. Such bibliometric analysis findings can be a useful reference for policy formulation within national or regional systems of higher education, and institutional strategic planning.
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This document summarizes a study that investigated secondary school students' awareness and use of career information sources in Nigeria. The study found that students were most aware of parents, teachers, and churches as sources of career information. When it came to actually using sources, students reported most often using parents, classmates, and teachers. Students also found information from parents, churches, and teachers to be the most useful for career decision-making. Delays and inaccuracies in information received were among the top challenges faced by students seeking career information. The study recommends that parents help students utilize a wider range of career information sources.
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The document summarizes recent research accomplishments across CUNY. It mentions that four CUNY faculty members were awarded the 2014 CUNY Junior Faculty Research Award in Science and Engineering. It also highlights honors and publications by several CUNY faculty members, including Steven Greenbaum from Hunter College being selected as a Jefferson Fellow and Vinod Menon from Queens College co-authoring a highly cited paper. Additionally, it discusses two CUNY faculty members, Sihong Wang from City College and Robert Alfano also from City College, who have had success commercializing their research through new medical devices.
This document provides an overview and introduction for new faculty attending a research orientation at Michigan State University. It discusses the importance and expectations of research at MSU, as well as resources and support available to faculty researchers. Key points include:
- MSU aims to have world-class research programs that address today's problems and advance knowledge. Research is important for education, outreach, and attracting top students and faculty.
- Faculty are expected to actively pursue research excellence and funding, publish in top journals, involve students, and use resources like the libraries and Office of Research and Graduate Studies for support.
- The document reviews compliance requirements and resources for topics like animal and human subjects research, as well as how to report
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In solving real life assignment problem we often face the state of uncertainty as well as hesitation due to various uncontrollable factors. To deal with uncertainty and hesitation many authors have suggested the intuitionistic fuzzy representations for the data. So, in this paper, the authors consider the assignment problem having uncertainty and hesitation in cost/time/profit. They formulate the problem and utilize triangular intuitionistic fuzzy numbers (TIFNs) to deal with uncertainty and hesitation. The authors propose a new method called PSK (P.Senthil Kumar) method for finding the intuitionistic fuzzy optimal cost/time/profit for fully intuitionistic fuzzy assignment problem (FIFAP). The proposed method gives the optimal object value in terms of TIFN. The main advantage of this method is computationally very simple, easy to understand. Finally the effectiveness of the proposed method is illustrated by means of a numerical example which is followed by graphical representation of the finding.
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Awareness and use of career information sources among secondary school studen...Alexander Decker
This document summarizes a study that investigated secondary school students' awareness and use of career information sources in Nigeria. The study found that students were most aware of parents, teachers, and churches as sources of career information. When it came to actually using sources, students reported most often using parents, classmates, and teachers. Students also found information from parents, churches, and teachers to be the most useful for career decision-making. Delays and inaccuracies in information received were among the top challenges faced by students seeking career information. The study recommends that parents help students utilize a wider range of career information sources.
ATEAS V1(3):: American Transactions on Engineering & Applied Sciencesdrboon
This document summarizes the development of a shorter version of the Student Accommodation Preferences Index (SAPI) through exploratory and confirmatory factor analysis. The original SAPI instrument developed by Khozaei et al. (2011) consisted of 60 items across 6 factors. The current study aimed to develop a shorter, valid and reliable version of the SAPI by collecting new data and performing an iterative process of confirmatory factor analysis. This resulted in a 29 item instrument across the same 6 factors, providing a more concise tool to examine student accommodation preferences while maintaining validity and reliability.
The document summarizes recent research accomplishments across CUNY. It mentions that four CUNY faculty members were awarded the 2014 CUNY Junior Faculty Research Award in Science and Engineering. It also highlights honors and publications by several CUNY faculty members, including Steven Greenbaum from Hunter College being selected as a Jefferson Fellow and Vinod Menon from Queens College co-authoring a highly cited paper. Additionally, it discusses two CUNY faculty members, Sihong Wang from City College and Robert Alfano also from City College, who have had success commercializing their research through new medical devices.
This document provides an overview and introduction for new faculty attending a research orientation at Michigan State University. It discusses the importance and expectations of research at MSU, as well as resources and support available to faculty researchers. Key points include:
- MSU aims to have world-class research programs that address today's problems and advance knowledge. Research is important for education, outreach, and attracting top students and faculty.
- Faculty are expected to actively pursue research excellence and funding, publish in top journals, involve students, and use resources like the libraries and Office of Research and Graduate Studies for support.
- The document reviews compliance requirements and resources for topics like animal and human subjects research, as well as how to report
The document discusses the methodology used for the Times Higher Education World University Rankings from 2011-2012. It outlines the key pillars used to evaluate universities: teaching, research, international outlook, and industry income. It also provides details on the specific indicators and weightings used to measure performance in each pillar, including academic reputation surveys, citation impact, staff to student ratios, and international collaboration. Feedback from university administrators and academics is presented, both in support of and with some criticisms of the methodology.
This article describes how in solving real-life solid transportation problems (STPs) we often face the state of uncertainty as well as hesitation due to various uncontrollable factors. To deal with uncertainty and hesitation, many authors have suggested the intuitionistic fuzzy (IF) representation for the data. In this article, the author tried to categorise the STP under uncertain environment. He formulates the intuitionistic fuzzy solid transportation problem (IFSTP) and utilizes the triangular intuitionistic fuzzy number (TIFN) to deal with uncertainty and hesitation. The STP has uncertainty and hesitation in supply, demand, capacity of different modes of transport called conveyance and when it has crisp cost it is known as IFSTP of type-1. From this concept, the generalized mathematical model for type-1 IFSTP is explained. To find out the optimal solution to type-1 IFSTPs, a single stage method called intuitionistic fuzzy min-zero min-cost method is presented. A real-life numerical example is presented to clarify the idea of the proposed method. Moreover, results and discussions, advantages of the proposed method, and future works are presented. The main advantage of the proposed method is that the optimal solution of type-1 IFSTP is obtained without using the basic feasible solution and the method of testing optimality.
It is our great pleasure to present the June 2018 issue (Volume 16 Number 6) of the International Journal of Computer Science and Information Security (IJCSIS). High quality research, survey & review articles are proposed from experts in the field, promoting insight and understanding of the state of the art, and trends in computer science and digital technologies. It especially provides a platform for high-caliber academics, practitioners and PhD/Doctoral graduates to publish completed work and latest research outcomes. According to Google Scholar, up to now papers published in IJCSIS have been cited over 11232 times and this journal is experiencing steady and healthy growth. Google statistics shows that IJCSIS has established the first step to be an international and prestigious journal in the field of Computer Science and Information Security. There have been many improvements to the processing of papers; we have also witnessed a significant growth in interest through a higher number of submissions as well as through the breadth and quality of those submissions. IJCSIS is already indexed in some major academic/scientific databases and important repositories, such as: Google Scholar, Thomson Reuters, ArXiv, CiteSeerX, Cornell’s University Library, Ei Compendex, ISI Scopus, DBLP, DOAJ, ProQuest, ResearchGate, LinkedIn, Academia.edu and EBSCO among others.
This document provides information about the editorial board and staff of The American Journal of Pathology. It lists the editor-in-chief, senior associate editor, senior assistant editor, associate editors, managing editor, assistant managing editor, production editor, scientific editor, and editorial assistants. It also provides brief descriptions of the journal and the American Society for Investigative Pathology.
This document discusses guidelines for use of a National Academies publication. It states that National Academies titles are free to use for personal and non-commercial academic use. Users may link to the online version to ensure the latest version is accessed. All other uses require written permission. The document also provides citation and purchase information for the publication "Pay for Performance: Evaluating Performance Appraisal and Merit Pay".
This document lists the editorial board for the journal Computers & Security. It provides the names, affiliations, and locations of the Editor, Academic Editor, IFIP TC-11 Editor, and numerous Editorial Board Members from universities and research institutions around the world. The editorial board oversees the journal and provides guidance on its direction and published content.
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Genetically Engineered Crops: Experiences and Prospects (2016)Anatol Alizar
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3rd International Conference on Learning, Education and Pedagogy (LEAP)Global R & D Services
Conference Name: 3rd International Conference on Learning, Education and Pedagogy (LEAP), 28-29 June 2016, Singapore
Conference Dates: 28-29, June 2016
Conference Venue: Nanyang Technological University, Nanyang Executive Centre, Singapore
Deadline for Abstract/Paper Submissions: June 25, 2016
Contact E-Mail ID: info@adtelweb.org
Conference Convener: Dr. R Daniel
Languages: English, Chinese, Arabic, Thai, Persian
3rd International Conference on Biotechnology, Bio Informatics, Bio Medical S...Global R & D Services
Conference Name: 3rd International Conference on Biotechnology, Bio Informatics, Bio Medical Sciences and Stem Cell Applications (B3SC), 01-02 July 2016, Singapore
Conference Dates: 01-02 July, 2016
Conference Venue: Nanyang Technological University, Nanyang Executive Centre, Singapore
Deadline for Abstract/Paper Submissions: June 27, 2016
Contact E-Mail ID: info@iaphlsr.org
Conference Convener: Dr. Pallavi R
Languages: English, Chinese, Arabic, Thai, Persian
Advances in Materials Science and Engineering: An International Journal (MSEJ)msejjournal
Call for paper!!!.....
Advances in Materials Science and Engineering: An International Journal (MSEJ)
Web page URL: https://airccse.com/msej/index.html
Submission deadline: February 05, 2022
Contact us: : : msejjournal@yahoo.com or msejjournal@airccse.com
Submission URL:http://airccse.com/submission/home.html
International Journal of Artificial Intelligence & Applications (IJAIA)gerogepatton
The International Journal of Artificial Intelligence & Applications (IJAIA) is a peer-reviewed journal that publishes articles on all areas of artificial intelligence and applications. It aims to publish new research, projects, surveys, and industrial experiences that advance the field. Topics include AI algorithms, tools and applications, machine learning, data mining, neural networks, robotics, and more. The journal has an international editorial board and seeks to publish work from researchers, programmers, and manufacturers.
International Journal of Network Security & Its Applications (IJNSA) - ERA, W...IJNSA Journal
The International Journal of Network Security & Its Applications (IJNSA) is a bi-monthly peer-reviewed journal that publishes articles on all aspects of computer network security and its applications. The goal of the journal is to bring together researchers and practitioners from academia and industry to share new results and collaborate on understanding modern security threats and countermeasures. Topics of interest include network security, wireless security, intrusion detection, and cryptographic protocols. The journal has an international editorial board and encourages submissions from authors worldwide.
In this paper, we investigate transportation problem in which supplies and demands are intuitionistic fuzzy numbers. Intuitionistic fuzzy zero point method is proposed to find the optimal solution in terms of triangular intuitionistic fuzzy numbers. A new relevant numerical example is also included.
In solving real life assignment problem, we often face the state of uncertainty as well as hesitation due to varies uncontrollable factors. To deal with uncertainty and hesitation many authors have suggested the intuitionistic fuzzy representation for the data. In this paper, computationally a simple method is proposed to find the optimal solution for an unbalanced assignment problem under intuitionistic fuzzy environment. In conventional assignment problem, cost is always certain. This paper develops an approach to solve the unbalanced assignment problem where the time/cost/profit is not in deterministic numbers but imprecise ones. In this assignment problem, the elements of the cost matrix are represented by the triangular intuitionistic fuzzy numbers. The existing Ranking procedure of Varghese and Kuriakose is used to transform the unbalanced intuitionistic fuzzy assignment problem into a crisp one so that the conventional method may be applied to solve the AP . Finally, the method is illustrated by a numerical example which is followed by graphical representation and discussion of the finding.
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This article describes how in solving real-life solid transportation problems (STPs) we often face the state of uncertainty as well as hesitation due to various uncontrollable factors. To deal with uncertainty and hesitation, many authors have suggested the intuitionistic fuzzy (IF) representation for the data. In this article, the author tried to categorise the STP under uncertain environment. He formulates the intuitionistic fuzzy solid transportation problem (IFSTP) and utilizes the triangular intuitionistic fuzzy number (TIFN) to deal with uncertainty and hesitation. The STP has uncertainty and hesitation in supply, demand, capacity of different modes of transport called conveyance and when it has crisp cost it is known as IFSTP of type-1. From this concept, the generalized mathematical model for type-1 IFSTP is explained. To find out the optimal solution to type-1 IFSTPs, a single stage method called intuitionistic fuzzy min-zero min-cost method is presented. A real-life numerical example is presented to clarify the idea of the proposed method. Moreover, results and discussions, advantages of the proposed method, and future works are presented. The main advantage of the proposed method is that the optimal solution of type-1 IFSTP is obtained without using the basic feasible solution and the method of testing optimality.
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This document lists the editorial board for the journal Computers & Security. It provides the names, affiliations, and locations of the Editor, Academic Editor, IFIP TC-11 Editor, and numerous Editorial Board Members from universities and research institutions around the world. The editorial board oversees the journal and provides guidance on its direction and published content.
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AgriVectors.org is a systems biology resource for vector biologists that aims to provide omics resources and databases to identify targets for interdiction molecules. It utilizes a distributed data schema to rapidly release genome assemblies and transcriptomes. Undergraduate students manually curate genes and pathways of interest from NCBI gene models. The site also provides web-based tools to visualize and analyze high-dimensional experimental data like proteomics and gene expression networks. The goal is to build an ecosystem of integrated resources and tools to study vector-pathogen-host systems important for agriculture.
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Similar to Linear Programming Approach for Solving Balanced and Unbalanced Intuitionistic Fuzzy Transportation Problems (20)
In this paper, we investigate transportation problem in which supplies and demands are intuitionistic fuzzy numbers. Intuitionistic fuzzy zero point method is proposed to find the optimal solution in terms of triangular intuitionistic fuzzy numbers. A new relevant numerical example is also included.
In solving real life assignment problem, we often face the state of uncertainty as well as hesitation due to varies uncontrollable factors. To deal with uncertainty and hesitation many authors have suggested the intuitionistic fuzzy representation for the data. In this paper, computationally a simple method is proposed to find the optimal solution for an unbalanced assignment problem under intuitionistic fuzzy environment. In conventional assignment problem, cost is always certain. This paper develops an approach to solve the unbalanced assignment problem where the time/cost/profit is not in deterministic numbers but imprecise ones. In this assignment problem, the elements of the cost matrix are represented by the triangular intuitionistic fuzzy numbers. The existing Ranking procedure of Varghese and Kuriakose is used to transform the unbalanced intuitionistic fuzzy assignment problem into a crisp one so that the conventional method may be applied to solve the AP . Finally, the method is illustrated by a numerical example which is followed by graphical representation and discussion of the finding.
In conventional assignment problem, cost is always certain. In this paper, Assignment problem with crisp, fuzzy and intuitionistic fuzzy numbers as cost coefficients is investigated. There is no systematic approach for finding an optimal solution for mixed intuitionistic fuzzy assignment problem. This paper develops an approach to solve a mixed intuitionistic fuzzy assignment problem where cost is not in deterministic numbers but imprecise ones. The solution procedure of mixed intuitionistic fuzzy assignment problem is proposed to find the optimal assignment and also obtain an optimal value in terms of triangular intuitionistic fuzzy numbers. Numerical examples show that an intuitionistic fuzzy ranking method offers an effective tool for handling an intuitionistic fuzzy assignment problem.
In this paper, Assignment problem with crisp, fuzzy and intuitionistic fuzzy numbers as cost coefficients is investigated. In conventional assignment problem, cost is always certain. This paper develops an approach to solve a mixed intuitionistic fuzzy assignment problem where cost is considered real, fuzzy and an intuitionistic fuzzy numbers. Ranking procedure of Annie Varghese and Sunny Kuriakose [4] is used to transform the mixed intuitionistic fuzzy assignment problem into a crisp one so that the conventional method may be applied to solve the assignment problem. The method is illustrated by a numerical example. The proposed method is very simple and easy to understand. Numerical examples show that an intuitionistic fuzzy ranking method offers an effective tool for handling an intuitionistic fuzzy assignment problem.
In this paper, we investigate transportation problem in which supplies and demands are intuitionistic fuzzy numbers. Intuitionistic fuzzy Vogel’s Approximation method is proposed to find an initial basic feasible solution in terms of triangular intuitionistic fuzzy numbers. The solution procedure is illustrated with suitable numerical example.
In this paper, we investigate transportation problem in which supplies and demands are intuitionistic fuzzy numbers. Intuitionistic Fuzzy Vogel’s Approximation Method is proposed to find an initial basic feasible solution. Intuitionistic Fuzzy Modified Distribution Method is proposed to find the optimal solution in terms of triangular intuitionistic fuzzy numbers. The solution procedure is illustrated with suitable numerical example.
There are several algorithms, in literature, for obtaining the fuzzy optimal solution of fuzzy transportation problems (FTPs). To the best of the author's knowledge, in the history of mathematics, no one has been able to solve transportation problem (TP) under four different uncertain environment using single method in the past years. So, in this chapter, the author tried to categories the TP under four different environments and formulates the problem and utilizes the crisp numbers, triangular fuzzy numbers (TFNs), and trapezoidal fuzzy numbers (TrFNs) to solve the TP. A new method, namely, PSK (P. Senthil Kumar) method for finding a fuzzy optimal solution to fuzzy transportation problem (FTP) is proposed. Practical usefulness of the PSK method over other existing methods is demonstrated with four different numerical examples. To illustrate the PSK method different types of FTP is solved by using the PSK method and the obtained results are discussed.
This document provides citation information for a chapter titled "PSK Method for Solving Type-1 and Type-3 Fuzzy Transportation Problems" published in the book "Fuzzy Systems: Concepts, Methodologies, Tools, and Applications". It lists the citation in MLA, APA, and Chicago format. The chapter discusses using the PSK method to solve type-1 and type-3 fuzzy transportation problems.
This document presents an article from the International Journal of Fuzzy System Applications that proposes a new method called the PSK method for solving type-1 and type-3 fuzzy transportation problems. In transportation problems, supplies, demands, and costs are usually certain values, but the article considers problems where these values may be uncertain and represented by fuzzy numbers like triangular or trapezoidal fuzzy numbers. The PSK method transforms the fuzzy transportation problem into a crisp one using an existing ranking procedure so that conventional solution methods can be applied. The method differs from solving certain transportation problems only in the allocation step. The PSK method and a new operation for multiplying trapezoidal fuzzy numbers are proposed to find an optimal solution with both crisp and fuzzy components
In conventional transportation problem (TP), supplies, demands and costs are always certain. This paper develops an approach to solve the unbalanced transportation problem where as all the parameters are not in deterministic numbers but imprecise ones. Here, all the parameters of the TP are considered to the triangular intuitionistic fuzzy numbers (TIFNs). The existing ranking procedure of Varghese and Kuriakose is used to transform the unbalanced intuitionistic fuzzy transportation problem (UIFTP) into a crisp one so that the conventional method may be applied to solve the TP. The occupied cells of unbalanced crisp TP that we obtained are as same as the occupied cells of UIFTP.
On the basis of this idea the solution procedure is differs from unbalanced crisp TP to UIFTP in allocation step only. Therefore, the new method and new multiplication operation on triangular intuitionistic fuzzy number (TIFN) is proposed to find the optimal solution in terms of TIFN. The main advantage of this method is computationally very simple, easy to understand and also the optimum objective value obtained by our method is physically meaningful.
In solving real life transportation problem we often face the state of uncertainty as well as hesitation due to various uncontrollable factors. To deal with uncertainty and hesitation many authors have suggested the intuitionistic fuzzy representation for the data. So, in this paper, we consider a transportation problem having uncertainty and hesitation in supply, demand and costs. We formulate the problem and utilize triangular intuitionistic fuzzy numbers (TrIFNs) to deal with uncertainty and hesitation. We propose a new method called PSK method for finding the intuitionistic fuzzy optimal solution for fully intuitionistic fuzzy transportation problem in single stage. Also the new multiplication operation on TrIFN is proposed to find the optimal object value in terms of TrIFN. The main advantage of this method is computationally very simple, easy to understand and also the optimum objective value obtained by our method is physically meaningful. Finally the effectiveness of the proposed method is illustrated by means of a numerical example which is followed by graphical representation of the finding.
In conventional transportation problem (TP), all the parameters are always certain. But, many of the real life situations in industry or organization, the parameters (supply, demand and cost) of the TP are not precise which are imprecise in nature in different factors like the market condition, variations in rates of diesel, traffic jams, weather in hilly areas, capacity of men and machine, long power cut, labourer’s over time work, unexpected failures in machine, seasonal changesandmanymore. Tocountertheseproblems,dependingonthenatureoftheparameters, theTPisclassifiedintotwocategoriesnamelytype-2andtype-4fuzzytransportationproblems (FTPs) under uncertain environment and formulates the problem and utilizes the trapezoidal fuzzy number (TrFN) to solve the TP. The existing ranking procedure of Liou and Wang (1992)isusedtotransformthetype-2andtype-4FTPsintoacrisponesothattheconventional method may be applied to solve the TP. Moreover, the solution procedure differs from TP to type-2 and type-4 FTPs in allocation step only. Therefore a simple and efficient method denoted by PSK (P. Senthil Kumar) method is proposed to obtain an optimal solution in terms of TrFNs. From this fuzzy solution, the decision maker (DM) can decide the level of acceptance for the transportation cost or profit. Thus, the major applications of fuzzy set theory are widely used in areas such as inventory control, communication network, aggregate planning, employment scheduling, and personnel assignment and so on.
In real-life decisions, usually we happen to suffer through different states of uncertainties. In order to counter these uncertainties, in this paper, the author formulated a transportation problem in which costs are triangular intuitionistic fuzzy numbers, supplies and demands are crisp numbers. In this paper, a simple method for solving type-2 intuitionistic fuzzy transportation problem (type-2 IFTP) is proposed and optimal solution is obtained without using intuitionistic fuzzy modified distribution method and intuitionistic fuzzy zero point method. So, the proposed method gives the optimal solution directly. The solution procedure is illustrated with the help of three real life numerical examples. Defect of existing results proposed by Singh and Yadav (2016a) is discussed. Validity of Pandian’s (2014) method is reviewed. Finally, the comparative study, results and discussion are given.
This document presents a method for solving an assignment problem where the costs are triangular intuitionistic fuzzy numbers rather than certain values. It introduces the concepts of intuitionistic fuzzy sets and triangular intuitionistic fuzzy numbers, and defines operations and a ranking method for comparing them. The paper formulates the intuitionistic fuzzy assignment problem mathematically as an optimization problem that minimizes the total intuitionistic fuzzy cost while satisfying constraints that each job is assigned to exactly one machine. It describes using an intuitionistic fuzzy Hungarian method to solve this type of assignment problem.
This document presents a systematic approach for solving mixed intuitionistic fuzzy transportation problems. It begins with definitions of fuzzy sets, intuitionistic fuzzy sets, and triangular intuitionistic fuzzy numbers. It then formulates an intuitionistic fuzzy transportation problem and proposes a mixed intuitionistic fuzzy zero point method to find the optimal solution in terms of triangular intuitionistic fuzzy numbers. Finally, it provides the computational procedure and illustrates the method with a numerical example.
The binding of cosmological structures by massless topological defectsSérgio Sacani
Assuming spherical symmetry and weak field, it is shown that if one solves the Poisson equation or the Einstein field
equations sourced by a topological defect, i.e. a singularity of a very specific form, the result is a localized gravitational
field capable of driving flat rotation (i.e. Keplerian circular orbits at a constant speed for all radii) of test masses on a thin
spherical shell without any underlying mass. Moreover, a large-scale structure which exploits this solution by assembling
concentrically a number of such topological defects can establish a flat stellar or galactic rotation curve, and can also deflect
light in the same manner as an equipotential (isothermal) sphere. Thus, the need for dark matter or modified gravity theory is
mitigated, at least in part.
Mending Clothing to Support Sustainable Fashion_CIMaR 2024.pdfSelcen Ozturkcan
Ozturkcan, S., Berndt, A., & Angelakis, A. (2024). Mending clothing to support sustainable fashion. Presented at the 31st Annual Conference by the Consortium for International Marketing Research (CIMaR), 10-13 Jun 2024, University of Gävle, Sweden.
EWOCS-I: The catalog of X-ray sources in Westerlund 1 from the Extended Weste...Sérgio Sacani
Context. With a mass exceeding several 104 M⊙ and a rich and dense population of massive stars, supermassive young star clusters
represent the most massive star-forming environment that is dominated by the feedback from massive stars and gravitational interactions
among stars.
Aims. In this paper we present the Extended Westerlund 1 and 2 Open Clusters Survey (EWOCS) project, which aims to investigate
the influence of the starburst environment on the formation of stars and planets, and on the evolution of both low and high mass stars.
The primary targets of this project are Westerlund 1 and 2, the closest supermassive star clusters to the Sun.
Methods. The project is based primarily on recent observations conducted with the Chandra and JWST observatories. Specifically,
the Chandra survey of Westerlund 1 consists of 36 new ACIS-I observations, nearly co-pointed, for a total exposure time of 1 Msec.
Additionally, we included 8 archival Chandra/ACIS-S observations. This paper presents the resulting catalog of X-ray sources within
and around Westerlund 1. Sources were detected by combining various existing methods, and photon extraction and source validation
were carried out using the ACIS-Extract software.
Results. The EWOCS X-ray catalog comprises 5963 validated sources out of the 9420 initially provided to ACIS-Extract, reaching a
photon flux threshold of approximately 2 × 10−8 photons cm−2
s
−1
. The X-ray sources exhibit a highly concentrated spatial distribution,
with 1075 sources located within the central 1 arcmin. We have successfully detected X-ray emissions from 126 out of the 166 known
massive stars of the cluster, and we have collected over 71 000 photons from the magnetar CXO J164710.20-455217.
The debris of the ‘last major merger’ is dynamically youngSérgio Sacani
The Milky Way’s (MW) inner stellar halo contains an [Fe/H]-rich component with highly eccentric orbits, often referred to as the
‘last major merger.’ Hypotheses for the origin of this component include Gaia-Sausage/Enceladus (GSE), where the progenitor
collided with the MW proto-disc 8–11 Gyr ago, and the Virgo Radial Merger (VRM), where the progenitor collided with the
MW disc within the last 3 Gyr. These two scenarios make different predictions about observable structure in local phase space,
because the morphology of debris depends on how long it has had to phase mix. The recently identified phase-space folds in Gaia
DR3 have positive caustic velocities, making them fundamentally different than the phase-mixed chevrons found in simulations
at late times. Roughly 20 per cent of the stars in the prograde local stellar halo are associated with the observed caustics. Based
on a simple phase-mixing model, the observed number of caustics are consistent with a merger that occurred 1–2 Gyr ago.
We also compare the observed phase-space distribution to FIRE-2 Latte simulations of GSE-like mergers, using a quantitative
measurement of phase mixing (2D causticality). The observed local phase-space distribution best matches the simulated data
1–2 Gyr after collision, and certainly not later than 3 Gyr. This is further evidence that the progenitor of the ‘last major merger’
did not collide with the MW proto-disc at early times, as is thought for the GSE, but instead collided with the MW disc within
the last few Gyr, consistent with the body of work surrounding the VRM.
Current Ms word generated power point presentation covers major details about the micronuclei test. It's significance and assays to conduct it. It is used to detect the micronuclei formation inside the cells of nearly every multicellular organism. It's formation takes place during chromosomal sepration at metaphase.
Sexuality - Issues, Attitude and Behaviour - Applied Social Psychology - Psyc...PsychoTech Services
A proprietary approach developed by bringing together the best of learning theories from Psychology, design principles from the world of visualization, and pedagogical methods from over a decade of training experience, that enables you to: Learn better, faster!
ESA/ACT Science Coffee: Diego Blas - Gravitational wave detection with orbita...Advanced-Concepts-Team
Presentation in the Science Coffee of the Advanced Concepts Team of the European Space Agency on the 07.06.2024.
Speaker: Diego Blas (IFAE/ICREA)
Title: Gravitational wave detection with orbital motion of Moon and artificial
Abstract:
In this talk I will describe some recent ideas to find gravitational waves from supermassive black holes or of primordial origin by studying their secular effect on the orbital motion of the Moon or satellites that are laser ranged.
Authoring a personal GPT for your research and practice: How we created the Q...Leonel Morgado
Thematic analysis in qualitative research is a time-consuming and systematic task, typically done using teams. Team members must ground their activities on common understandings of the major concepts underlying the thematic analysis, and define criteria for its development. However, conceptual misunderstandings, equivocations, and lack of adherence to criteria are challenges to the quality and speed of this process. Given the distributed and uncertain nature of this process, we wondered if the tasks in thematic analysis could be supported by readily available artificial intelligence chatbots. Our early efforts point to potential benefits: not just saving time in the coding process but better adherence to criteria and grounding, by increasing triangulation between humans and artificial intelligence. This tutorial will provide a description and demonstration of the process we followed, as two academic researchers, to develop a custom ChatGPT to assist with qualitative coding in the thematic data analysis process of immersive learning accounts in a survey of the academic literature: QUAL-E Immersive Learning Thematic Analysis Helper. In the hands-on time, participants will try out QUAL-E and develop their ideas for their own qualitative coding ChatGPT. Participants that have the paid ChatGPT Plus subscription can create a draft of their assistants. The organizers will provide course materials and slide deck that participants will be able to utilize to continue development of their custom GPT. The paid subscription to ChatGPT Plus is not required to participate in this workshop, just for trying out personal GPTs during it.
When I was asked to give a companion lecture in support of ‘The Philosophy of Science’ (https://shorturl.at/4pUXz) I decided not to walk through the detail of the many methodologies in order of use. Instead, I chose to employ a long standing, and ongoing, scientific development as an exemplar. And so, I chose the ever evolving story of Thermodynamics as a scientific investigation at its best.
Conducted over a period of >200 years, Thermodynamics R&D, and application, benefitted from the highest levels of professionalism, collaboration, and technical thoroughness. New layers of application, methodology, and practice were made possible by the progressive advance of technology. In turn, this has seen measurement and modelling accuracy continually improved at a micro and macro level.
Perhaps most importantly, Thermodynamics rapidly became a primary tool in the advance of applied science/engineering/technology, spanning micro-tech, to aerospace and cosmology. I can think of no better a story to illustrate the breadth of scientific methodologies and applications at their best.
ESR spectroscopy in liquid food and beverages.pptxPRIYANKA PATEL
With increasing population, people need to rely on packaged food stuffs. Packaging of food materials requires the preservation of food. There are various methods for the treatment of food to preserve them and irradiation treatment of food is one of them. It is the most common and the most harmless method for the food preservation as it does not alter the necessary micronutrients of food materials. Although irradiated food doesn’t cause any harm to the human health but still the quality assessment of food is required to provide consumers with necessary information about the food. ESR spectroscopy is the most sophisticated way to investigate the quality of the food and the free radicals induced during the processing of the food. ESR spin trapping technique is useful for the detection of highly unstable radicals in the food. The antioxidant capability of liquid food and beverages in mainly performed by spin trapping technique.
Immersive Learning That Works: Research Grounding and Paths ForwardLeonel Morgado
We will metaverse into the essence of immersive learning, into its three dimensions and conceptual models. This approach encompasses elements from teaching methodologies to social involvement, through organizational concerns and technologies. Challenging the perception of learning as knowledge transfer, we introduce a 'Uses, Practices & Strategies' model operationalized by the 'Immersive Learning Brain' and ‘Immersion Cube’ frameworks. This approach offers a comprehensive guide through the intricacies of immersive educational experiences and spotlighting research frontiers, along the immersion dimensions of system, narrative, and agency. Our discourse extends to stakeholders beyond the academic sphere, addressing the interests of technologists, instructional designers, and policymakers. We span various contexts, from formal education to organizational transformation to the new horizon of an AI-pervasive society. This keynote aims to unite the iLRN community in a collaborative journey towards a future where immersive learning research and practice coalesce, paving the way for innovative educational research and practice landscapes.
Immersive Learning That Works: Research Grounding and Paths Forward
Linear Programming Approach for Solving Balanced and Unbalanced Intuitionistic Fuzzy Transportation Problems
1.
2. EDITOR-IN-CHIEF
John Wang, Montclair State University, USA
MANAGING EDITOR
Steve Bin Zhou, University of Houston-Downtown, USA
INTERNATIONAL ADVISORY BOARD
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Volume 9 • Issue 2 • April-June 2018 • ISSN: 1947-9328 • eISSN: 1947-9336
An official publication of the Information Resources Management Association
International Journal of Operations Research and Information
Systems
3. Scott E. Grasman, Rochester Institute of Technology, USA
Nalan Gulpinar, Warwick Business School, UK
Roger Gung, Response Analytics Inc., USA
Zhinling Guo, University of Maryland-Baltimore County, USA
Ülkü Gürler, Bilkent University, Turkey
Alexander Gutfraind, Los Alamos National Laboratory, USA
Peter Hahn, University of Pennsylvania, USA
Mohammed Hajeeh, Kuwait Institute for Scientific Research, Kuwait
Steven Harper, James Madison University, USA
Michael J Hirsch, Raytheon Inc., USA
Samuel Hohmann, University Health System Consortium, USA
Xiangling Hu, Grand Valley State University, USA
Dariusz Jacek Jakóbczak, Koszalin University of Technology, Poland
Manoj K. Jha, Morgan State University, USA
Alan W. Johnson, Air Force Institute of Technology, USA
Burcu B. Keskin, University of Alabama, USA
Adlar Kim, Massachusetts Institute of Technology, USA
Rex Kincaid, College of William & Mary, USA
Saroj Koul, Jindal Global Business School, India
Deepak Kulkarni, NASAAmes Research Center, USA
Nanda Kumar, University of Texas at Dallas, USA
Chang Won Lee, Hanyang University, Korea
Hyoung-Gon Lee, Massachusetts Institute of Technology, USA
Loo Hay Lee, National University of Singapore, Singapore
Fei Li, George Mason University, USA
Feng Li, IBM China Research Laboratory, China
Jian Li, Northeastern Illinois University, USA
Jing Li, Arizona State University, USA
Kunpeng Li, Utah State, USA
Xueping Li, University of Tennessee, Knoxville, USA
Igor Linkov, US Army Engineer Research & Devel. Center, USA
Dengpan Liu, University of Alabama in Huntsville, USA
George Liu, Intel Corporation, China
Tie Liu, IBM China Research Laboratory, China
Leonardo Lopes, University of Arizona, USA
Dimitrios Magos, Technological Educational Institute of Athens, Greece
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Yefim Haim Michlin, Israel Institute of Technology, Israel
Somayeh Moazeni, Princeton University, USA
Soumyo Moitra, Carnegie Mellon University, USA
Okesola Moses Olusola, Oludoy Dynamix Consulting Ltd, Nigeria
Josefa Mula, Universitat Politècnica de València, Spain
B.P.S. Murthi, University of Texas at Dallas, USA
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Olufemi A Omitaomu, Oak Ridge National Laboratory, USA
Mohammad Oskoorouchi, California State University San Marcos, USA
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Francois Pinet, Irstea, France
Tania Querido, Linear Options Consulting, LCC, USA
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H. Charles Ralph, Clayton State University, USA
Marion S. Rauner, University of Vienna, Austria
Joe Roise, North Carolina State University, USA
Enzo Sauma Pontificia, Universidad Catolica de Chile, Chile
Hsu-Shih Shih, Tamkang University, Taiwan
Laura Shwartz, IBM T.J. Watson Research Center, USA
Sebastian Sitarz, University of Silesia, Poland
Young-Jun Son, University of Arizona, USA
Huaming Song, Nanjing University of Science & Technology, China
Qin Su, Xi’an Jiaotong University, China
Editorial Review Board
Continued
4. Yang Sun, California State University - Sacramento, USA
Durai Sundaramoorthi, Washington University in St. Louis, USA
Pei-Fang Tsai, State University of New York at Binghamton, USA
M. Ali Ülkü, Dalhousie University, Canada
Bruce Wang, Texas A&M University, USA
Jiamin Wang, Long Island University, USA
Kaibo Wang, ASQ Certified Six Sigma Black Belt, China
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Harris Wu, Old Dominion University, USA
Justin Yates, Francis Marion University, USA
Xugang Ye, Johns Hopkins University and Microsoft, USA
Donghun Yoon, Keio University, Japan
Banu Yukse-Ozkaya, Hacettepe University, Turkey
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Editorial Review Board
Continued
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The International Journal of Operations Research and Information Systems (IJORIS) aims to present
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a wide spectrum of academics and practitioners. IJORIS spans the traditional functional areas of business,
including management information systems, production/operations management, business processes, quantitative
economics, accounting, finance, marketing, business administration, and international business. IJORIS also
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8. International Journal of Operations Research and Information Systems
Volume 9 • Issue 2 • April-June 2018
74
problems’ and is divided into ‘transportation problems’ and ‘assignment problems’. This type of
allocation problems is studied in operations research.
During World War-II, Britain was having very limited military resources; therefore, there was
an urgent need to allocate resources to the various military operations and to the activities within
each operation in an effective manner. Therefore, the British military executives called upon a team
of scientist to apply scientific approach to study the strategic and tactical problems related to air and
land defence of the country. As the team was dealing with research a military operations, the work
of this team of scientist was named as operations research.
The Transportation Problem (TP) is one of the subclasses of Linear Programming Problem (LPP).
The objective of the transportation problem is to transport various quantities of a single homogeneous
product that are initially stored at various origins, to different destinations in such a way that the total
transportation cost is minimum for a minimization problem or total transportation profit is maximum
for a maximization problem. The conventional transportation problem consists in transporting a
certain commodity from each of m origins i m= …1 2 3, , , to any of n destinations j n= …1 2 3, , , .
The origins are factories with respect capacities a a a am1 2 3
, , ,… and the destinations are warehouses
with required levels of demands b b b bn1 2 3
, , ,… . For the transport of a unit of the given commodity
from the ith
origin to the jth
destination a cost cij
is given for which, without loss of generality, we
can assume c i jij
≥ ∀0, , . Hence, one must determine the amounts xij
to be transported from all the
origins a a a am1 2 3
, , ,… to all the destinations b b b bn1 2 3
, , ,… in such a way that the total cost is
minimized.
The conventional transportation problem can be mathematically stated as follows:
Minimize Z c x
i
m
j
n
ij ij
=
= =
∑∑
1 1
subject to:
j
n
ij i
x a for i m
=
∑ ≤ = …
1
1 2, , , , (Row restriction)
i
m
ij j
x b for j n
=
∑ ≥ = …
1
1 2, , , , (Column restriction)
x for i mij
≥ = …0 1 2, , , ,
and:
j n= …1 2, , ,
Hitchcock (1941) developed a basic transportation problem.
The classical transportation problem is a special class of linear programming problem in which
all the constraints are equality type, widely used in the areas of inventory control, communication
network, aggregate planning, employment scheduling, and personnel assignment and so on. Depending
on the nature of the cost function, the transportation problem can be categorized into linear and
nonlinear transportation problem.
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3. Assuming that m is a membership value and n is a non-membership value at c. Then 100m%
experts are in favour and 100n% experts are opposing but 100 1− −( )m n % are in confusion
that the transportation cost is c .
Values of m cZI ( ) and n cZI ( ) at different values of c can be determined using equations given
as follows:
,
,
,m c
forc
c
for c
forc
ZI ( )=
<
−
≤ ≤
=
0 108
108
194
108 302
1 302
341−−
≤ ≤
>
c
for c
forc
39
302 341
0 341
,
,
,
,
,n c
forc
c
for c
for c
c
ZI ( )=
<
−
≤ ≤
=
−
1 83
302
219
83 302
0 302
3022
85
302 387
1 387
,
,
for c
forc
≤ ≤
>
Advantages of the Proposed Method
By using the proposed method, a decision maker has the following advantages:
1. The optimum objective value of the unbalanced IFTP is non-negative triangular intuitionistic
fuzzy number i.e., there is no negative part in the obtained triangular intuitionistic fuzzy number;
2. The proposed method is computationally very simple and easy to understand.
CONCLUSION
On the basis of the present study, it can be concluded that the IFTP and UIFTP which can be
solved by the existing methods (Hussain and Kumar (2012a), Gani and Abbas (2012), Antony et
al. (2014), Dinagar and Thiripurasundari (2014)) can also be solved by the proposed methods.
However, it is much easier to apply the proposed methods as compared to all the existing methods.
The solution obtained by this method the objective value of the unbalanced IFTP remains always
positive i.e., there is no negative part in the TIFN. Hence the proposed method is physically
meaningful and computationally very simple when compared to all the existing methods. In
feature, the proposed method may be modified to find intuitionistic fuzzy optimal solution of solid
intuitionistic fuzzy transportation problems and solid assignment problems with intuitionistic
fuzzy numbers. This method can help decision makers in the logistics related issues of real life
problems by aiding them in the decision-making process and providing an optimal solution in
a simple and effective manner.
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ACKNOWLEDGMENT
The author sincerely thanks the anonymous reviewers and Editor-in-Chief Professor John Wang for
their careful reading, constructive comments and fruitful suggestions. The author would also like to
acknowledge Dr.S.Ismail Mohideen, Additional Vice Principal, My Guide and Associate Professor
Dr.R.Jahir Hussain, Dr.A.Nagoor Gani, Associate Professor, Dr.K.Ramanaiah, Associate Professor
(retired), Mr.N.Shamsudeen, Associate Professor (retired), Jamal Mohamed College (Autonomous),
Tiruchirappalli, Tamil Nadu, India for their motivation and kind support.
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REFERENCES
Aggarwal, S., & Gupta, C. (2014). Algorithm for solving intuitionistic fuzzy transportation problem with
generalized trapezoidal intuitionistic fuzzy number via new ranking method. arXiv:1401.3353
Angelov, P. P. (1997). Optimization in an intuitionistic fuzzy environment. Fuzzy Sets and Systems, 86(3),
299–306. doi:10.1016/S0165-0114(96)00009-7
Antony, R. J. P., Savarimuthu, S. J., & Pathinathan, T. (2014). Method for solving the transportation problem
using triangular intuitionistic fuzzy number. International Journal of Computing Algorithm, 3, 590–605.
Atanassov, K.T. (1983). Intuitionistic fuzzy sets. In VII ITKR’s Session, Sofia. (in Bulgarian)
Atanassov, K. T. (1995). Ideas for intuitionistic fuzzy equations, inequalities and optimization. Notes on
Intuitionistic Fuzzy Sets, 1(1), 17–24.
Atanassov, K. T. (1999). Intuitionistic fuzzy sets: Theory and applications. Physica -Verlag. Heidelberg, New
York: Springer; doi:10.1007/978-3-7908-1870-3
Ban, A. (2008). Trapezoidal approximations of intuitionistic fuzzy numbers expressed by value, ambiguity,
width and weighted expected value. Notes on Intuitionistic Fuzzy Sets, 14(1), 38–47.
Basirzadeh, H. (2011). An approach for solving fuzzy transportation problem. Applied Mathematical Sciences,
5(32), 1549–1566.
Beauchamp, H., Novoa, C., & Ameri, F. (2015). Supplier selection and order allocation based on integer
programming. International Journal of Operations Research and Information Systems, 6(3), 60–79. doi:10.4018/
IJORIS.2015070103
Bharati, S. K., Nishad, A. K., & Singh, S. R. (2014, January). Solution of Multi-Objective Linear Programming
Problems in Intuitionistic Fuzzy Environment. In Proceedings of the Second International Conference on Soft
Computing for Problem Solving (SocProS 2012), December 28-30 (pp. 161-171). Springer India. doi:10.1007/978-
81-322-1602-5_18
Bit, A. K., Biswal, M. P., & Alam, S. S. (1992). Fuzzy programming approach to multicriteria decision making
transportation problem. Fuzzy Sets and Systems, 50(2), 135–141. doi:10.1016/0165-0114(92)90212-M
Burillo, P., Bustince, H., & Mohedano, V. (1994, September). Some definitions of intuitionistic fuzzy number
first properties. In Proceedings of the First Workshop on Fuzzy Based Expert System, Sofia, Bulgaria (pp. 53-55).
Chakraborty, D., Jana, D. K., & Roy, T. K. (2015). A new approach to solve multi-objective multi-choice
multiitem Atanassov’s intuitionistic fuzzy transportation problem using chance operator. Journal of Intelligent
& Fuzzy Systems, 28(2), 843–865.
Chanas,S.,Delgado,M.,Verdegay,J.L.,&Vila,M.A.(1993).Intervalandfuzzyextensionofclassicaltransportation
problems. Transportation Planning and Technology, 17(2), 203–218. doi:10.1080/03081069308717511
Chanas, S., Kolodziejczyk, W., & Machaj, A. (1984). A fuzzy approach to the transportation problem. Fuzzy
Sets and Systems, 13(3), 211–221. doi:10.1016/0165-0114(84)90057-5
Chanas, S., & Kuchta, D. (1996). A concept of the optimal solution of the transportation problem with fuzzy
cost coefficients. Fuzzy Sets and Systems, 82(3), 299–305. doi:10.1016/0165-0114(95)00278-2
Chanas, S., & Kuchta, D. (1998). Fuzzy integer transportation. Fuzzy Sets and Systems, 98(3), 291–298.
doi:10.1016/S0165-0114(96)00380-6
Charnes, A., & Cooper, W. W. (1954). The stepping- stone method for explaining linear programming calculation
in transportation problem. Management Science, 1(1), 49–69. doi:10.1287/mnsc.1.1.49
Chen, M., Ishii, H., & Wu, C. (2008). Transportation problems on a fuzzy network. International Journal of
Innovative Computing, Information, & Control, 4(5), 1105–1109.
Cherian, L., & Kuriakose, S. (2009). A fuzzy economic production quantity model with capacity constraint:
Intuitionistic fuzzy optimization for linear programming problems. The Journal of Fuzzy Mathematics, 17(1),
139–144.
15. International Journal of Operations Research and Information Systems
Volume 9 • Issue 2 • April-June 2018
92
Chiang, J. (2005). The optimal solution of the transportation problem with fuzzy demand and fuzzy product.
Journal of Information Science and Engineering, 21(2), 439–451.
Dantzig, G. B. (1963). Linear programming and extensions. Princeton, New Jersey: Princeton Univ. Press.
doi:10.1515/9781400884179
Das, M., & Baruah, H. K. (2007). Solution of the transportation problem in fuzzified form. Journal of Fuzzy
Mathematics, 15(1), 79–95.
Dinagar, D. S., & Palanivel, K. (2009). The transportation problem in fuzzy environment. International Journal
of Algorithms. Computing and Mathematics, 2(3), 65–71.
Dinagar, D. S., & Thiripurasundari, K. (2014). A navel method for solving fuzzy transportation problem involving
intuitionistic trapezoidal fuzzy numbers. International Journal of Current Research, 6(6), 7038–7041.
Dubey, D., & Mehra, A. (2011). Linear programming with triangular intuitionistic fuzzy number. In Proceedings
of the 7th Conference of the European Society for Fuzzy Logic and Technology (pp. 563-569). Atlantis Press.
doi:10.2991/eusflat.2011.78
Ebrahimnejad, A., Nasseri, S. H., & Mansourzadeh, S. M. (2011). Bounded primal simplex algorithm for bounded
linear programming with fuzzy cost coefficients. International Journal of Operations Research and Information
Systems, 2(1), 96–120. doi:10.4018/joris.2011010105
Gani, A. N., & Abbas, S. (2012). Intuitionistic fuzzy transportation problem. In Proceedings of the Heber
International Conference on Applications of Mathematics and Statistics (HICAMS) (pp. 528-535).
Grzegorzewski, P. (2003a). Distance and orderings in a family of intuitionistic fuzzy numbers. In Proceedings of
the Third Conference of the European Society for Fuzzy Logic and Technology, Zittau, Germany (pp. 223-227).
Grzegorzewski, P. (2003b), Intuitionistic fuzzy numbers. In Proceedings of the IFSA 2003 World Congress.
Guha, D., & Chakraborty, D. (2010). A theoretical development of distance measure for intuitionistic fuzzy
numbers. International Journal of Mathematics and Mathematical Sciences.
Hasan, M. K., & Ban, X. (2013). A link-node nonlinear complementarity model for a multiclass simultaneous
transportation dynamic user equilibria. International Journal of Operations Research and Information Systems,
4(1), 27–48. doi:10.4018/joris.2013010102
Hitchcock, F. L. (1941). The distribution of a product from several sources to numerous localities. Journal of
Mathematics and Physics, 20(2), 224–230. doi:10.1002/sapm1941201224
Hussain, R. J., & Kumar, P. S. (2012a). The transportation problem in an intuitionistic fuzzy environment.
International Journal of Mathematics Research, 4(4), 411–420.
Hussain, R. J., & Kumar, P. S. (2012b). Algorithmic approach for solving intuitionistic fuzzy transportation
problem. Applied Mathematical Sciences, 6(80), 3981–3989.
Hussain, R. J., & Kumar, P. S. (2012c). The transportation problem with the aid of triangular intuitionistic fuzzy
numbers. In Proceedings in International Conference on Mathematical Modeling and Applied Soft Computing
(MMASC-2012), Coimbatore Institute of Technology, Coimbatore (pp.819-825).
Hussain, R. J., & Kumar, P. S. (2013). An optimal more-for-less solution of mixed constraints intuitionistic
fuzzy transportation problems. International Journal of Contemporary Mathematical Sciences, 8(12), 565–576.
doi:10.12988/ijcms.2013.13056
Jana, B., & Roy, T. K. (2007). Multi-objective intuitionistic fuzzy linear programming and its application in
transportation model. Notes on Intuitionistic Fuzzy Sets, 13(1), 34–51.
Klir, G. J., & Yuan, B. (2003). Fuzzy sets and fuzzy logic: Theory and applications. New York: Prentice Hall.
Koopmans, T. C. (1949). Optimum utilization of the transportation system. Econometrica, Supplement: Report
of the Washington Meeting, 17, 136-146. doi:10.2307/1907301
Kumar, A., & Kaur, A. (2011). Methods for solving fully fuzzy transportation problems based on classical
transportation methods. International Journal of Operations Research and Information Systems, 2(4), 52–71.
doi:10.4018/joris.2011100104
16. International Journal of Operations Research and Information Systems
Volume 9 • Issue 2 • April-June 2018
93
Kumar, A., Kaur, A., & Gupta, A. (2011). Fuzzy linear programming approach for solving fuzzy transportation
problems with transshipment. Journal of Mathematical Modelling and Algorithms, 10(2), 163–180. doi:10.1007/
s10852-010-9147-8
Kumar, P. S. (2016a). PSK method for solving type-1 and type-3 fuzzy transportation problems. International
Journal of Fuzzy System Applications, 5(4), 121-146. doi:10.4018/IJFSA.2016100106
Kumar, P. S. (2016b). A simple method for solving type-2 and type-4 fuzzy transportation problems. International
Journal of Fuzzy Logic and Intelligent Systems, 16(4), 225–237. doi:10.5391/IJFIS.2016.16.4.225
Kumar, P. S. (2017a). PSK method for solving type-1 and type-3 fuzzy transportation problems. In Fuzzy Systems:
Concepts, Methodologies, Tools, and Applications (pp. 367–392). Hershey, PA: IGI Global; doi:10.4018/978-
1-5225-1908-9.ch017
Kumar, P. S. (2017b). A note on ‘a new approach for solving intuitionistic fuzzy transportation problem of type-
2’. International Journal of Logistics Systems and Management.
Kumar, P. S. (2017c). Intuitionistic fuzzy zero point method for solving type-2 intuitionistic fuzzy transportation
problem. International Journal of Operational Research.
Kumar, P. S., & Hussain, R. J. (2014a). A systematic approach for solving mixed intuitionistic fuzzy transportation
problems. International Journal of Pure and Applied Mathematics, 92(2), 181–190. doi:10.12732/ijpam.v92i2.4
Kumar, P. S., & Hussain, R. J. (2014b) A method for finding an optimal solution of an assignment problem
under mixed intuitionistic fuzzy environment. In Proceedings of the International Conference on Mathematical
Sciences (ICMS-2014) (pp. 417-421). Elsevier.
Kumar, P. S., & Hussain, R. J. (2014c). New algorithm for solving mixed intuitionistic fuzzy assignment problem.
In Elixir Applied Mathematics (pp. 25971–25977). Salem, Tamilnadu, India: Elixir publishers.
Kumar, P. S., & Hussain, R. J. (2015). A method for solving unbalanced intuitionistic fuzzy transportation
problems. Notes on Intuitionistic Fuzzy Sets, 21(3), 54–65.
Kumar, P. S., & Hussain, R. J. (2016a). Computationally simple approach for solving fully intuitionistic fuzzy
real life transportation problems. International Journal of System Assurance Engineering and Management,
7(1), 90–101. doi:10.1007/s13198-014-0334-2
Kumar, P. S., & Hussain, R. J. (2016b). A simple method for solving fully intuitionistic fuzzy real life assignment
problem. International Journal of Operations Research and Information Systems, 7(2), 39–61. doi:10.4018/
IJORIS.2016040103
Kumar, P. S., & Hussain, R. J. (2016c). An algorithm for solving unbalanced intuitionistic fuzzy assignment
problem using triangular intuitionistic fuzzy number. The Journal of Fuzzy Mathematics, 24(2), 289–302.
Li, D. F., Nan, J. X., & Zhang, M. J. (2010). A ranking method of triangular intuitionistic fuzzy numbers and
application to decision making. International Journal of Computational Intelligence Systems, 3(5), 522–530.
doi:10.1080/18756891.2010.9727719
Li, L., Huang, Z., Da, Q., & Hu, J. (2008, May). A new method based on goal programming for solving
transportation problem with fuzzy cost. In Proceedings of the 2008 International Symposiums on Information
Processing (ISIP) (pp. 3-8). IEEE. doi:10.1109/ISIP.2008.9
Lin, F. T. (2009, August). Solving the transportation problem with fuzzy coefficients using genetic algorithms.
In Proceedings of the IEEE International Conference on Fuzzy Systems FUZZ-IEEE ’09 (pp. 1468-1473). IEEE.
doi:10.1109/FUZZY.2009.5277202
Mahapatra, G. S., & Roy, T. K. (2009). Reliability evaluations using triangular intuitionistic fuzzy numbers,
arithmetic operations. International Scholarly and Scientific Research & Innovation, 3(2), 422–429.
Mahapatra, G. S., & Roy, T. K. (2013). Intuitionistic fuzzy number and its arithmetic operation with application
on system failure. Journal of Uncertain Systems, 7(2), 92–107.
Mitchell, H. B. (2004). Ranking intuitionistic fuzzy numbers. International Journal of Uncertainty, Fuzziness
and Knowledge-based Systems, 12(3), 377–386. doi:10.1142/S0218488504002886
17. International Journal of Operations Research and Information Systems
Volume 9 • Issue 2 • April-June 2018
94
Mohideen, S. I., & Kumar, P. S. (2010). A comparative study on transportation problem in fuzzy environment.
International Journal of Mathematics Research, 2(1), 151–158.
Nasseri, S. H., & Ebrahimnejad, A. (2011). Sensitivity analysis on linear programming problems with trapezoidal
fuzzy variables. International Journal of Operations Research and Information Systems, 2(2), 22–39. doi:10.4018/
joris.2011040102
Nayagam, G., Lakshmana, V., Venkateshwari, G., & Sivaraman, G. (2008, June). Ranking of intuitionistic
fuzzy numbers. In Proceedings of the IEEE International Conference on Fuzzy Systems FUZZ-IEEE 08 (pp.
1971-1974). IEEE.
Nehi, H. M. (2010). A new ranking method for intuitionistic fuzzy numbers. International Journal of Fuzzy
Systems, 12(1), 80–86.
Nehi, H. M., & Maleki, H. R. (2005, July). Intuitionistic fuzzy numbers and it’s applications in fuzzy optimization
problem. In Proceedings of the Ninth WSEAS International Conference on Systems, Athens, Greece.
Nishad, A. K., & Singh, S. R. (2015). Solving multi-objective decision making problem in intuitionistic
fuzzy environment. International Journal of System Assurance Engineering and Management, 6(2), 206–215.
doi:10.1007/s13198-014-0331-5
Nwauwa, L., Adenegan, K., Rahji, M., & Awoyemi, T. (2016). Optimal transportation and spatial integration of
regional Palm Oil markets in Nigeria. International Journal of Operations Research and Information Systems,
7(2), 62–83. doi:10.4018/IJORIS.2016040104
Oheigeartaigh, M. (1982). A fuzzy transportation algorithm. Fuzzy Sets and Systems, 8(3), 235–243. doi:10.1016/
S0165-0114(82)80002-X
Pandian, P., & Natarajan, G. (2010). A new algorithm for finding a fuzzy optimal solution for fuzzy transportation
problems. Applied Mathematical Sciences, 4(2), 79–90.
Parvathi, R., & Malathi, C. (2012). Intuitionistic fuzzy linear programming problems. World Applied Sciences
Journal, 17(12), 1802–1807.
Pattnaik, M. (2015). Decision making approach to fuzzy linear programming (FLP) problems with post optimal
analysis. International Journal of Operations Research and Information Systems, 6(4), 75–90. doi:10.4018/
IJORIS.2015100105
Pramila, K., & Uthra, G. (2014). Optimal solution of an intuitionistic fuzzy transportation problem. Annals of
Pure and Applied Mathematics, 8(2), 67–73.
Rabbani, M., Mamaghani, M. G., Farshbaf-Geranmayeh, A., & Mirzayi, M. (2016). A novel mixed integer
programming formulation for selecting the best renewable energies to invest: A fuzzy goal programming
approach. International Journal of Operations Research and Information Systems, 7(3), 1–22. doi:10.4018/
IJORIS.2016070101
Rani, D., Gulathi, T. R., & Kumar, A. (2014). A method for unbalanced transportation problems in fuzzy
environment. Indian Academy of Sciences. Sadhana, 39(3), 573–581. doi:10.1007/s12046-014-0243-8
Ruiz-Torres, A. J., Paletta, G., & Perez-Roman, E. (2015). Maximizing the percentage of on-time jobs with
sequence dependent deteriorating process times. International Journal of Operations Research and Information
Systems, 6(3), 1–18. doi:10.4018/IJORIS.2015070101
Saad, O. M., & Abbas, S. A. (2003). A parametric study on transportation problem under fuzzy environment.
Journal of Fuzzy Mathematics, 11(1), 115–124.
Sauma, E. (2013). A survey and comparison of optimization methods for solving multi-stage stochastic programs
with recourse. International Journal of Operations Research and Information Systems, 4(2), 22–35. doi:10.4018/
joris.2013040102
Shabani, A., & Jamkhaneh, E. B. (2014). A new generalized intuitionistic fuzzy number. Journal of Fuzzy Set
Valued Analysis, 24, 1–10. doi:10.5899/2014/jfsva-00199
Shaw, A. K., & Roy, T. K. (2012). Some arithmetic operations on triangular intuitionistic fuzzy number and its
application on reliability evaluation. International Journal of Fuzzy Mathematics and Systems, 2(4), 363–382.
18. International Journal of Operations Research and Information Systems
Volume 9 • Issue 2 • April-June 2018
95
Singh, S. (2012). Note on assignment algorithm with easy method of drawing lines to cover all zeros. International
Journal of Operations Research and Information Systems, 3(3), 87–97. doi:10.4018/joris.2012070106
Singh, S. K., & Yadav, S. P. (2015). Efficient approach for solving type-1 intuitionistic fuzzy transportation
problem. International Journal of System Assurance Engineering and Management, 6(3), 259–267. doi:10.1007/
s13198-014-0274-x
Singh, S. K., & Yadav, S. P. (2016). A new approach for solving intuitionistic fuzzy transportation problem of
type-2. Annals of Operations Research, 243(1-2), 349–363. doi:10.1007/s10479-014-1724-1
Solaiappan, S., & Jeyaraman, K. (2014). A new optimal solution method for trapezoidal fuzzy transportation
problem. International Journal of Advanced Research, 2(1), 933–942.
Srinivas, B., & Ganesan, G. (2015). Optimal solution for intuitionistic fuzzy transportation problem via
Revised Distribution Method. International Journal of Mathematics Trends and Technology, 19(2), 150–161.
doi:10.14445/22315373/IJMTT-V19P519
Sudhakar, V. J., & Kumar, V. N. (2011). A different approach for solving two stage fuzzy transportation problems.
International Journal of Contemporary Mathematical Sciences, 6(11), 517–526.
Taha, H. A. (2008). Operations Research: An Introduction (8th ed.). Pearson Education India.
Varghese, A., & Kuriakose, S. (2012). Centroid of an intuitionistic fuzzy number. Notes on Intuitionistic Fuzzy
Sets, 18(1), 19–24.
Ye, X., Han, S., & Lin, A. (2010). A note on the connection between the Primal-Dual and the A* algorithm.
InternationalJournalofOperationsResearchandInformationSystems,1(1),73–85.doi:10.4018/joris.2010101305
Zadeh, L. A. (1965). Fuzzy sets. Information and Control, 8(3), 338–353. doi:10.1016/S0019-9958(65)90241-X
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P. Senthil Kumar has been working as an Assistant Professor in PG and Research Department of Mathematics at
Jamal Mohamed College (Autonomous), Tiruchirappalli, Tamil Nadu, India. His research interests include operations
research, fuzzy optimization, intuitionistic fuzzy optimization, numerical analysis and graph theory, etc. He was
born in Tamil Nadu, India in the year 1985. He graduated B.Sc., M.Sc., M.Phil degrees from Jamal Mohamed
College, Tiruchirappalli, in 2006, 2008, 2010 respectively. He completed B.Ed in 2009 at Jamal Mohamed College
of Teacher Education. He completed PGDCA in 2011 in the Bharathidasan University and PGDAOR in 2012 in
the Annamalai University, Tamil Nadu, India. He has done his Ph.D in the area of Intuitionistic Fuzzy Optimization
Technique at Jamal Mohamed College in 2017. He has published many research papers in referred national and
international journals like Springer, IGI Global, Inderscience, etc. He also presented his research papers in Elsevier
Conference Proceedings (ICMS-2014), MMASC-2012, etc.
Figure 1. Graphical representation of FIFTC