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IOSR Journal of Computer Engineering (IOSR-JCE)
e-ISSN: 2278-0661,p-ISSN: 2278-8727, Volume 19, Issue 4, Ver. IV. (Jul.-Aug. 2017), PP 52-55
www.iosrjournals.org
DOI: 10.9790/0661-1904045255 www.iosrjournals.org 52 | Page
Implementation of Fuzzy Tsukamoto Algorithm in Determining
Work Feasibility
*
Mochammad Iswan Perangin-Angin1
, Andre Hasudungan Lubis2
,
Imelda Sri Dumayanti3
, Rahelia Br. Ginting4
, Andysah Putera Utama Siahaan5
1,5
Faculty of Computer Science, Universitas Pembanguan Panca Budi, Medan, Indonesia
2
Faculty of Engineering, Universitas Medan Area, Medan, Indonesia
3
Faculty of Computer Science, Universitas Methodist Indonesia, Medan, Indonesia
4
Department of Informatics, Politeknik Poliprofesi, Medan, Indonesia
2,5
Student of Universiti Malysia Perlis, Kangar, Malaysia
Corresponding Author: Mochammad Iswan Perangin-Angin
Abstract: The process of determining eligibility for someone is usually given with the same value. The
determination of eligibility is determined based on several criteria. These criteria are the ability to Academic
Potential Test (APT) and Grade Point Average (GPA). The Tsukamoto fuzzy system is the model used in this
paper. Each input variable is divided into two membership functions. There are nine rules of Tsukamoto's model
applied. The system also provides following changes of parameters if the parameter values are to be changed.
The result of the difference of the employability is given to them. The greater the APT score, the more the value
of the feasibility of the work obtained. The more GPA values gained, the greater the value of the workplace
eligibility.
Keywords: Fuzzy, Tsukamoto, Expert System, DCS
---------------------------------------------------------------------------------------------------------------------------------------
Date of Submission: 20-07-2017 Date of acceptance: 28-07-2017
--------------------------------------------------------------------------------------------------------------------------------------
I. Introduction
Recruitment is an activity to find as many candidates as possible with the available vacancies.
Recruitment is the process of finding and attracting applicants to be employed within and by an organization.
The purpose of recruitment is to get as much inventory of applicants as possible so that the organization will
have a greater chance of making a choice against a prospective worker who is deemed to meet the organization's
qualification standards. Based on these insights, recruitment can be defined as the process of finding, finding
and attracting applicants to be employed in and by an organization as a first step in occupying a job [6].
Selection is an activity of the company to select the right candidate and eliminate applicants who are
considered inappropriate to be accepted in a work organized or company. The selection process is a systematic
effort to ensure that those who are accepted are the most appropriate. In this work placement process, there is
often a problem between the company and the prospective worker, such as the high demand of the company but
the ability of the candidate is not eligible and vice versa the ability of the candidate is high, but the company
does not provide a decent salary [7]. Given this problem, often does not create a real work process. Tsukamoto is
one of the fuzzy techniques [5]. By applying the Tsukamoto method, the existing problems can be solved well.
II. Theories
2.1 Fuzzy Logic
Fuzzy logic is a good choice to generatean input space into an output space by the abstract input values.
Fuzzy logic is easy to learn. There is not many rules to apply in it. Only a few steps, the formula generates the
output desired [1].
Fuzzy logic system has four elements:
- The basic rule that contains the rules derived from the experts.
- A decision-making mechanism in which the expert took the decision to apply the knowledge they have.
- A Fuzzification process. It converts the original crisp value into the magnitude fuzzy crisp.
- A Defuzzification process.The process to return the fuzzy value into crisp value as the result of fuzzy
process.
Fuzzy has three components, fuzzification, fuzzy inference, and defuzzification [2]. Fuzzy logic has a
membership function that consists of the limit value of data input and output data value [3]. The definition of a
membership function is a graph that there are points from the limit of the input data value in a membership
value that is worth between 0 and 1.
Implementation of Fuzzy Tsukamoto Algorithm in Determining Work Feasibility
DOI: 10.9790/0661-1904045255 www.iosrjournals.org 53 | Page
There are three parts to the membership function, core, support, and boundary [4]. The core section is
the graphic section that states the complete region of the entire fuzzy set. X is a member of set μ (x) = 1. The
next section is support, support is the graphic section that states the region with a membership value instead of 0
of the fuzzy set. It is expressed in a function in which x is a set of μ (x)> 0 members. The last section is the
boundary, boundary in the membership function graph is the minimum limit value and the maximum limit of the
fuzzy set. It is expressed in the function where x is a set member is 0 <μ (x)> 1.
2.2 Tsukamoto
Tsukamoto method is one of the methods of Fuzzy Inference System. In this method, it uses the cause-
effect rule or "if-then" [5]. The calculation method of the Tsukamoto fuzzy method is a rule formed representing
the fuzzy set, then calculated the degree of membership in accordance with the rules that have been made. After
obtaining the degree of membership, the predefined alpha value (α) will be obtained by finding the minimum
value of the membership degree. Then, it will look for an output value which is a crisp value called
defuzzification process, which is expressed in the following equation.
Where:
α = alpha
z = crisp value
Z = defuzzification
III. Methodology
The method used is Tsukamoto. The membership function used is linear. Linear means triangle and
trapezium. Each of the input variables is divided into two membership functions. The first test for APT is
divided into two membership functions, low and high. The second for GPA is divided into two membership
functions that are good and bad. From each variable, it will give each of the two membership functions shown in
the following figures:
Rendah Tinggi
65 100
Tingkat Kemampuan
Akademik (TPA)
0
Figure 1. APT membership function
F_Low (TPA) =
F_High (TPA) =
Implementation of Fuzzy Tsukamoto Algorithm in Determining Work Feasibility
DOI: 10.9790/0661-1904045255 www.iosrjournals.org 54 | Page
Buruk Baik
2.75 3.25
IPK (Index Prestasi
Kumulatif)
0
Figure 2. GPA membership function
F_Worst (GPA) =
F_Good (GPA) =
Belum
Layak
Layak
60 100 Kelayakan Kerja0
Figure 3. Work feasibility membership function
F_Less (WF) =
F_More (WF) =
Where:
APT = Academic Potential Test
GPA = Grade Point Average
WF = Work Feasibility
Table 1. Fuzzy Rule
Rule
Nimber
Rule
APT GPA Work Feasibility
1 Low High More
2 High High More
3 High Low Less
4 Low Low Less
Implementation of Fuzzy Tsukamoto Algorithm in Determining Work Feasibility
DOI: 10.9790/0661-1904045255 www.iosrjournals.org 55 | Page
From table 1, there is a value of the degree of output membership of each rule to see detailed rules of
fuzzy logic. After obtaining the number of rules by using Tsukamoto, there are two rules by using the AND
operator. After searching the value of membership degree from the output of each rule created or generated from
the combined of APT and GPA. The next step is to find the value of the work feasibility of each rule that is in
table 1.
IV. Evaluation
From the system that researchers do, there are scores of GPA and test of different APT also from every person
who was ranked the top five.
Table 2.Initial Data
No. Name APT GPA WF
1 Mesran 80 3.23 Ok
2 Robbi 85 3.20 Ok
3 Solly 85 3.17 Ok
4 Dodi 90 3.12 Ok
5 Melly 75 3.08 Ok
Table 3. Work Feasibility after using fuzzy Tsukamoto
No. Name APT GPA WF WF (Fuzzy)
1 Mesran 80 3.23 Ok Ok
2 Robbi 85 3.20 Ok Ok
3 Solly 85 3.17 Ok Ok
4 Dodi 90 3.12 Ok Ok
5 Melly 75 3.08 Ok Not Ok
Table 2 shows an example of work ability taken as initial values before fuzzy. The calculation is still by
way of equal distribution, and there is no difference in the feasibility of work gained. Of these values, it is rather
difficult to encourage those whose their APT is little to improve their work performance further because they
have the same work worthiness. In Table 3, there is a different feasibility of work because it is calculated using
Tsukamoto, which is based on two variables, APT and GPA. Each variable has the lower limit and upper limit
respectively. For the results of the feasibility of work also has the upper limit and lower limit in the process of
issuing the value of work worthiness for students who get it.
V. Conclusion
The method of determining the feasibility value of work that has been running before is still not good
and less clear based on what they get the value of work eligibility because the previous system that has been
running still use one variable to determine the feasibility of work. Fuzzy Tsukamoto aims to provide a work
worthiness value varying according to the specified variable if a person has a high GPA and low APT get a high
workability but for students who have high GPA and high APT get a high workplace feasibility but not as much
as those with low landfill students.
Reference
[1] O. S. Widayanti Deni and A. Sasmita, "Analysis and Implementation Fuzzy Multi-Attribute Decision Making SAW Method for
Selection of High Achieving Students in Faculty Level," IJCSI International Journal of Computer Science Issues, vol. 10, no. 1, pp.
674-680, 2013.
[2] M. Iswan, Khairul and A. P. U. Siahaan, "Fuzzy Logic Concept in Technology, Society, and Economy Areas in Predicting Smart
City," International Journal of Recent Trends in Engineering & Research, vol. 2, no. 12, 2016.
[3] A. P. U. Siahaan, "Fuzzification of College Adviser Proficiency Based on Specific Knowledge," International Journal of Advanced
Research in Computer Science and Software Engineering, vol. 6, no. 7, pp. 164-168, 2016.
[4] Khairul, M. Simaremare and A. P. U. Siahaan, "Decision Support System in Selecting The Appropriate Laptop Using Simple
Additive Weighting," International Journal of Recent Trends in Engineering and Research, vol. 2, no. 12, pp. 215-222, 2016.
[5] A. Saepullah and R. S. Wahono, "Comparative Analysis of Mamdani, Sugeno And Tsukamoto Method of Fuzzy Inference System
for Air Conditioner Energy Saving," Journal of Intelligent Systems, vol. 1, no. 2, pp. 143-147, 2015.
[6] J. W. Omolo, M. N. Oginda and W. Y. Oso, "Effect of Recruitment and Selection of Employees on The Performance of Small and
Medium Enterprises in Kisumu Municipality, Kenya," International Journal of Human Resource Studies, vol. 2, no. 3, pp. 139-150,
2013.
[7] A. S. Gamage, "Recruitment and Selection Practices in Manufacturing SMEs in Japan: An Analysis of the Link with Business
Performance," Ruhuna Journal of Management and Finance, vol. 1, no. 1, pp. 37-52, 2014
Mochammad Iswan Perangin-Angin. "Implementation of Fuzzy Tsukamoto Algorithm in
Determining Work Feasibility." IOSR Journal of Computer Engineering (IOSR-JCE) 19.4
(2017): 52-55.

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Implementation of Fuzzy Tsukamoto Algorithm in Determining Work Feasibility

  • 1. IOSR Journal of Computer Engineering (IOSR-JCE) e-ISSN: 2278-0661,p-ISSN: 2278-8727, Volume 19, Issue 4, Ver. IV. (Jul.-Aug. 2017), PP 52-55 www.iosrjournals.org DOI: 10.9790/0661-1904045255 www.iosrjournals.org 52 | Page Implementation of Fuzzy Tsukamoto Algorithm in Determining Work Feasibility * Mochammad Iswan Perangin-Angin1 , Andre Hasudungan Lubis2 , Imelda Sri Dumayanti3 , Rahelia Br. Ginting4 , Andysah Putera Utama Siahaan5 1,5 Faculty of Computer Science, Universitas Pembanguan Panca Budi, Medan, Indonesia 2 Faculty of Engineering, Universitas Medan Area, Medan, Indonesia 3 Faculty of Computer Science, Universitas Methodist Indonesia, Medan, Indonesia 4 Department of Informatics, Politeknik Poliprofesi, Medan, Indonesia 2,5 Student of Universiti Malysia Perlis, Kangar, Malaysia Corresponding Author: Mochammad Iswan Perangin-Angin Abstract: The process of determining eligibility for someone is usually given with the same value. The determination of eligibility is determined based on several criteria. These criteria are the ability to Academic Potential Test (APT) and Grade Point Average (GPA). The Tsukamoto fuzzy system is the model used in this paper. Each input variable is divided into two membership functions. There are nine rules of Tsukamoto's model applied. The system also provides following changes of parameters if the parameter values are to be changed. The result of the difference of the employability is given to them. The greater the APT score, the more the value of the feasibility of the work obtained. The more GPA values gained, the greater the value of the workplace eligibility. Keywords: Fuzzy, Tsukamoto, Expert System, DCS --------------------------------------------------------------------------------------------------------------------------------------- Date of Submission: 20-07-2017 Date of acceptance: 28-07-2017 -------------------------------------------------------------------------------------------------------------------------------------- I. Introduction Recruitment is an activity to find as many candidates as possible with the available vacancies. Recruitment is the process of finding and attracting applicants to be employed within and by an organization. The purpose of recruitment is to get as much inventory of applicants as possible so that the organization will have a greater chance of making a choice against a prospective worker who is deemed to meet the organization's qualification standards. Based on these insights, recruitment can be defined as the process of finding, finding and attracting applicants to be employed in and by an organization as a first step in occupying a job [6]. Selection is an activity of the company to select the right candidate and eliminate applicants who are considered inappropriate to be accepted in a work organized or company. The selection process is a systematic effort to ensure that those who are accepted are the most appropriate. In this work placement process, there is often a problem between the company and the prospective worker, such as the high demand of the company but the ability of the candidate is not eligible and vice versa the ability of the candidate is high, but the company does not provide a decent salary [7]. Given this problem, often does not create a real work process. Tsukamoto is one of the fuzzy techniques [5]. By applying the Tsukamoto method, the existing problems can be solved well. II. Theories 2.1 Fuzzy Logic Fuzzy logic is a good choice to generatean input space into an output space by the abstract input values. Fuzzy logic is easy to learn. There is not many rules to apply in it. Only a few steps, the formula generates the output desired [1]. Fuzzy logic system has four elements: - The basic rule that contains the rules derived from the experts. - A decision-making mechanism in which the expert took the decision to apply the knowledge they have. - A Fuzzification process. It converts the original crisp value into the magnitude fuzzy crisp. - A Defuzzification process.The process to return the fuzzy value into crisp value as the result of fuzzy process. Fuzzy has three components, fuzzification, fuzzy inference, and defuzzification [2]. Fuzzy logic has a membership function that consists of the limit value of data input and output data value [3]. The definition of a membership function is a graph that there are points from the limit of the input data value in a membership value that is worth between 0 and 1.
  • 2. Implementation of Fuzzy Tsukamoto Algorithm in Determining Work Feasibility DOI: 10.9790/0661-1904045255 www.iosrjournals.org 53 | Page There are three parts to the membership function, core, support, and boundary [4]. The core section is the graphic section that states the complete region of the entire fuzzy set. X is a member of set μ (x) = 1. The next section is support, support is the graphic section that states the region with a membership value instead of 0 of the fuzzy set. It is expressed in a function in which x is a set of μ (x)> 0 members. The last section is the boundary, boundary in the membership function graph is the minimum limit value and the maximum limit of the fuzzy set. It is expressed in the function where x is a set member is 0 <μ (x)> 1. 2.2 Tsukamoto Tsukamoto method is one of the methods of Fuzzy Inference System. In this method, it uses the cause- effect rule or "if-then" [5]. The calculation method of the Tsukamoto fuzzy method is a rule formed representing the fuzzy set, then calculated the degree of membership in accordance with the rules that have been made. After obtaining the degree of membership, the predefined alpha value (α) will be obtained by finding the minimum value of the membership degree. Then, it will look for an output value which is a crisp value called defuzzification process, which is expressed in the following equation. Where: α = alpha z = crisp value Z = defuzzification III. Methodology The method used is Tsukamoto. The membership function used is linear. Linear means triangle and trapezium. Each of the input variables is divided into two membership functions. The first test for APT is divided into two membership functions, low and high. The second for GPA is divided into two membership functions that are good and bad. From each variable, it will give each of the two membership functions shown in the following figures: Rendah Tinggi 65 100 Tingkat Kemampuan Akademik (TPA) 0 Figure 1. APT membership function F_Low (TPA) = F_High (TPA) =
  • 3. Implementation of Fuzzy Tsukamoto Algorithm in Determining Work Feasibility DOI: 10.9790/0661-1904045255 www.iosrjournals.org 54 | Page Buruk Baik 2.75 3.25 IPK (Index Prestasi Kumulatif) 0 Figure 2. GPA membership function F_Worst (GPA) = F_Good (GPA) = Belum Layak Layak 60 100 Kelayakan Kerja0 Figure 3. Work feasibility membership function F_Less (WF) = F_More (WF) = Where: APT = Academic Potential Test GPA = Grade Point Average WF = Work Feasibility Table 1. Fuzzy Rule Rule Nimber Rule APT GPA Work Feasibility 1 Low High More 2 High High More 3 High Low Less 4 Low Low Less
  • 4. Implementation of Fuzzy Tsukamoto Algorithm in Determining Work Feasibility DOI: 10.9790/0661-1904045255 www.iosrjournals.org 55 | Page From table 1, there is a value of the degree of output membership of each rule to see detailed rules of fuzzy logic. After obtaining the number of rules by using Tsukamoto, there are two rules by using the AND operator. After searching the value of membership degree from the output of each rule created or generated from the combined of APT and GPA. The next step is to find the value of the work feasibility of each rule that is in table 1. IV. Evaluation From the system that researchers do, there are scores of GPA and test of different APT also from every person who was ranked the top five. Table 2.Initial Data No. Name APT GPA WF 1 Mesran 80 3.23 Ok 2 Robbi 85 3.20 Ok 3 Solly 85 3.17 Ok 4 Dodi 90 3.12 Ok 5 Melly 75 3.08 Ok Table 3. Work Feasibility after using fuzzy Tsukamoto No. Name APT GPA WF WF (Fuzzy) 1 Mesran 80 3.23 Ok Ok 2 Robbi 85 3.20 Ok Ok 3 Solly 85 3.17 Ok Ok 4 Dodi 90 3.12 Ok Ok 5 Melly 75 3.08 Ok Not Ok Table 2 shows an example of work ability taken as initial values before fuzzy. The calculation is still by way of equal distribution, and there is no difference in the feasibility of work gained. Of these values, it is rather difficult to encourage those whose their APT is little to improve their work performance further because they have the same work worthiness. In Table 3, there is a different feasibility of work because it is calculated using Tsukamoto, which is based on two variables, APT and GPA. Each variable has the lower limit and upper limit respectively. For the results of the feasibility of work also has the upper limit and lower limit in the process of issuing the value of work worthiness for students who get it. V. Conclusion The method of determining the feasibility value of work that has been running before is still not good and less clear based on what they get the value of work eligibility because the previous system that has been running still use one variable to determine the feasibility of work. Fuzzy Tsukamoto aims to provide a work worthiness value varying according to the specified variable if a person has a high GPA and low APT get a high workability but for students who have high GPA and high APT get a high workplace feasibility but not as much as those with low landfill students. Reference [1] O. S. Widayanti Deni and A. Sasmita, "Analysis and Implementation Fuzzy Multi-Attribute Decision Making SAW Method for Selection of High Achieving Students in Faculty Level," IJCSI International Journal of Computer Science Issues, vol. 10, no. 1, pp. 674-680, 2013. [2] M. Iswan, Khairul and A. P. U. Siahaan, "Fuzzy Logic Concept in Technology, Society, and Economy Areas in Predicting Smart City," International Journal of Recent Trends in Engineering & Research, vol. 2, no. 12, 2016. [3] A. P. U. Siahaan, "Fuzzification of College Adviser Proficiency Based on Specific Knowledge," International Journal of Advanced Research in Computer Science and Software Engineering, vol. 6, no. 7, pp. 164-168, 2016. [4] Khairul, M. Simaremare and A. P. U. Siahaan, "Decision Support System in Selecting The Appropriate Laptop Using Simple Additive Weighting," International Journal of Recent Trends in Engineering and Research, vol. 2, no. 12, pp. 215-222, 2016. [5] A. Saepullah and R. S. Wahono, "Comparative Analysis of Mamdani, Sugeno And Tsukamoto Method of Fuzzy Inference System for Air Conditioner Energy Saving," Journal of Intelligent Systems, vol. 1, no. 2, pp. 143-147, 2015. [6] J. W. Omolo, M. N. Oginda and W. Y. Oso, "Effect of Recruitment and Selection of Employees on The Performance of Small and Medium Enterprises in Kisumu Municipality, Kenya," International Journal of Human Resource Studies, vol. 2, no. 3, pp. 139-150, 2013. [7] A. S. Gamage, "Recruitment and Selection Practices in Manufacturing SMEs in Japan: An Analysis of the Link with Business Performance," Ruhuna Journal of Management and Finance, vol. 1, no. 1, pp. 37-52, 2014 Mochammad Iswan Perangin-Angin. "Implementation of Fuzzy Tsukamoto Algorithm in Determining Work Feasibility." IOSR Journal of Computer Engineering (IOSR-JCE) 19.4 (2017): 52-55.