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IJRET: International Journal of Research in Engineering and Technology eISSN: 2319-1163 | pISSN: 2321-7308
_______________________________________________________________________________________________
Volume: 05 Issue: 08 | Aug-2016, Available @ http://ijret.esatjournals.org 32
A FUZZY APPROACH TO EVALUATE SUITABILITY OF
INFRASTRUCTURE PROJECTS WITH SAFETY
Gaurav Ramesh Pawar1, Purushottam Dange2, R. K. Lad3
1
PG Student, Construction and Management Department of Civil Engineering, Dr.D. Y. Patil Institute of Engineering
and Technology Pimpri Pune-18, Maharashtra, India
2
Professor, Department of Civil Engineering,Dr. D. Y. Patil Institute of Engineering and Technology Pimpri Pune-18
, Maharashtra , India
3
Dean Administration,Department of Civil Engineering, Dr. D. Y. Patil Institute of Engineering and Technology
Pimpri Pune-18 , Maharashtra , India
Abstract
The current project deals with safety management in highways and infrastructure (Buildings and Roads).The research is partly
doctrinal and partly empirical in natural. Research tools used is fuzzy logic. The scope research has been to mainly cover
highways and infrastructure (Buildings and Roads).The topic of construction includes the process of Highways, Building and
society roads, construction and maintenance, including the design of respective construction, contracting, accomplishing,
supervision, and maintenance of Highways, Building, society roads and related structures. Our study of project will fulfil the
safety requirements by using Fuzzy logic that should be consider before starting highways and infrastructure (Buildings and
Roads) and this study will be very helpful in construction industry. as this study will decrease the chances of accidents as well as
to save lives. Today so many people lose their lives when traffic has to move through maintenance works and road construction
every year also during the construction of Buildings.The cases of construction section injuries and accidental death are predicted
to go even higher than now. Construction in highways and infrastructure (Building and Roads) covers various activities,
techniques, materials and source of danger therefore because of this conditions the probability of accidents increases every time.
The fact is construction industry has the most disappointing record of safety compare to all industrial sectors, with a risk of
casualty 5 times higher than several other industry in the world. The higher rate of accidents and deaths in the construction
industry compare to all other industries are may be due to the process of the construction work. The factors due to which the rate
of accidentsare high in construction industry are such as poor planning,lack of safety training, lack of supervision, lack of safety
equipment , and lack of incident investigation helps to create more problems in future. Hence, by using Multi criteria decision
making by Fuzzy logic will reduce the risk of accidents while construction of highways and infrastructure (Building and Roads).
Keywords: Highway and Infrastructure Safety, Defuzzification, Fuzzy Multi Criteria Decision Making, Expert
Opinion, Linguistic Terms and Safety Potential Index
--------------------------------------------------------------------***----------------------------------------------------------------------
1. INTRODUCTION
Now days in India or we can say everywhere safety
regarding every aspect that could be in chemical,
manufacturing, glass, etc. industries are very important as it
involves skilled or unskilled labour lives and this source is
significantly important and this source cannot be replaced
by any other resource. In construction industry the safety
issues are very important, as in construction industry heavy
equipment(s), falling objects, excavations, etc. are involved
and this kind of risks can take lives. So the safety in
construction industry has to be in higher level of priorities.
Our study of the project will fulfil the safety requirements
that should be considered for highways and infrastructure
(Buildings and Roads) this study will be very helpful in
construction industry as this study will decrease the chances
of accidents as well as to save lives.
Safety can be said to be a feeling of welfare and security
insured by the activity a person indulges in. Safety is the
condition of being secure. During construction projects as
has been seen many risk factors are involved. To protect a
person from such risks a proper program of safety and
security should be formulated.
Due to increasing the infrastructure budget and funding for
Highways and road construction are resulting huge increase
in the number of highway and road construction projects in
India. Also, the safety of road consumers and people who
are working is important concern on roads and highways
worldwide.
Today so many people lose their lives when traffic has to
move through road construction and maintenance works
every year, also during the construction of Buildings. The
cases of construction section injuries and accidental death
are predicted to go even higher than now
Zongzhi Li, Konstantinos Kepaptsoglou, Yongdoo Lee,
Harshingar Patel, Yi Liu, and HanGyol Kim [15], have
IJRET: International Journal of Research in Engineering and Technology eISSN: 2319-1163 | pISSN: 2321-7308
_______________________________________________________________________________________________
Volume: 05 Issue: 08 | Aug-2016, Available @ http://ijret.esatjournals.org 33
introduced ananalysis method toassess the effects of
highway projects on safety performance.
C. E. Jackson [3] suggested that, from the year 1852 the
ASCE have served civil engineers worldwide and also the
construction industry, after all of this still they do not have
construction safety committee. Civil engineers from all over
the world take guidance about every project from ASCE.
Safety is very crucialpart of the civil engineering.
Jimmie Hinze, M.ASCE, Matthew Hallowell, A.M.ASCE
and Kevin Baud [9] According to them after the
Occupational Safety and Health Act 1970 which was
approved by congress, the improvement has been
experienced in the construction industry related to the safety
. In the last few years some improvement has been made
with due respect to safety directive in the construction
industry. But there is still a need to formulate better tactics
for safety during construction projects.
How Sing Siia,, Tom Ruxtona, JinWangb [8]have used
Fuzzy logic to develop a safety model, by using the IF-
THEN rule of human evidence and questioning without
using precise quantitative analyses that can model the
quantitative aspect. The research has been done to target the
development of linguistic variables.
Adam S. Markowskia, M. Sam Mannanb,
AgataBigoszewskaa[1] determine the functions of fuzzy
set& explores the application of fuzzy sets concept in terms
of basic tools used in practicing safety analysis such as fault
and event tree methods which can further be used in the
“bow-tie” approach for accident scenario risk assessment. In
the traditional fault and event tree analyses, the input
variables are taken as exact values and the exact outcome
data are received by asuitable mathematical approach. In the
fuzzy method, all variables are switched by fuzzy numbers
in the process of fuzzification and successively using fuzzy
arithmetic, fuzzy probability of the top event for fault tree,
and fuzzy outcome probabilities for event tree are
calculated. A single value for each of the outcome event
result can be obtained with the use of one of the
defuzzification methods. A characteristic case study
consisting of a fault tree for rupture of the iso-butane storage
tank and the event tree for its consequences is achieved and
anassessmentamongst the traditional approach and fuzzy
method is prepared.
D. Singh and Robert L. K. Tiong [6] have explained the
best process for the selection of the contractor according to
the need of the project so that the best construction can be
achieved in the worth amount of the money.
2. METHODOLOGY
Figure-1 showsa flow diagram of developed methodology.
Fig-1: A flow diagram of methodology
2.1 Fuzzy Set & Fuzzy Logic
A fuzzy set can be defined mathematically to every
individual which has a degree or grade of membership in the
particular set of fuzzy. Which represents the degree to which
individual is similar with the concept explained by the fuzzy
set. Thus, individual can belong greater or lesser degree in
the fuzzy set. Membership grades arerepresented by real
number ranging close between the As, fuzzy logic deals
with form of values logic where truth values of variables can
be any real number range between 0 and 1, it is a multi-
IJRET: International Journal of Research in Engineering and Technology eISSN: 2319-1163 | pISSN: 2321-7308
_______________________________________________________________________________________________
Volume: 05 Issue: 08 | Aug-2016, Available @ http://ijret.esatjournals.org 34
valued type of the logic. By the human being reasoning,
information and also common sense questioning the results
are close to appropriate results which derives in the Fuzzy
logic. (Klir and Yuan, 2003)
2.2 Linguistic Variable
The fuzzy number plays an important role to elaborate
quantitative fuzzy variables. The fuzzy numbers represent
linguistic values, such as- very good, good, fair and etc.
For our study, the linguistic terms used are- very important,
important, average, least important, and very least
important. The table below showing the linguistic terms and
fuzzy numbers used. Fig. 2 shows linguistic terms which are
presented by graph of fuzzy numbers:
Table-1: Linguistic Terms and Fuzzy Numbers
LINGUISTIC TERMS FUZZY NUMBER
VI (Very Important) (0.777,0.888,1.000,1.000)
I (Important) (0.555,0.666,0.777,0.888)
A (Average) (0.333,0.444,0.555,0.666)
LI (Least Important) (0.111,0.222,0.333,0.444)
VLI (Very Least Important) (0.000,0.000,0.111,0.222)
Fig-2: Fuzzy Sets
Expert’s opinion from the field of civil engineering are
taken from professionals and academicians, for sub criteria
for Contractor’s need, Safety details, PPE, worker safety,
traffic safety, equipment
Certificationand other safety.
2.3 Average Fuzzy Number (AFN)
The further average fuzzy number can be calculated by the
linguistic terms given by the experts.
The terms that are allocated by experts for every sub
criterion of the Contractor’s need, Safety details, PPE,
worker safety, traffic safety, equipment certification, and
other safety can be transformed into fuzzy numbers. Then
AFN will be equated by the following calculations.
   ij i1 i2 iE
1A a a ... a for i 1,2,..,n & j 1,2,...,Ep p p p
E
      
…….. (i)
Where,
ij
p
A = Fuzzy number assigned to a sub criterion,
E = Number of experts &
n = Number of fuzzy numbers.
2.4 Defuzzification & Normalized Weight
It is a calculation that creates a non-fuzzy or crisp value
which sufficiently represents the level of fulfilment of the
combined fuzzy number. In our study, trapezoidal fuzzy set
are considered. A significance of sub criterion was thought-
of as range value but not with a certain value. So, only
trapezoidal fuzzy sets were considered. Let a Trapezoidal
fuzzy number be limited to x1, x2, x3 and x4 as shown in
the Figure then its de-fuzzified value (crisp score) ‘e’. For
the criterion can be obtained by using the following
(Kaufman and Gupta, 1991).
e = (x1 + x2 + x3 + x4) / 4 ……. (ii)
2.5 Fuzz Decision Matrix
13
1 2 3 n
1 2 3 n 1
C 1 2 3 n 2
n1 2 3 n
μ μ μ ....μ
q , q , q ....q
X r , r , r ....r
s , s , s ....s
H
H
H
 
 
  
  
…. (iii)
Where q1, q2, q3... qn, r1, r2, r3... rn and s1, s2, s3... nn are
fuzzy values of Safety goggles for Project 1, 2 and 3
respectively
2.6 The Crisp Scores
Crisp scores of sub criterion for every project can be
obtained by using following equations:
H1 = (lq1 + q2 + q3 + ... + qn)/n
H2 = (r1 + r2 + r3 + ... + rn)/n
Hn = (s1 + s2 + s3 + ... + sn)/n …………(iv)
2.7 Total Score
As per the simple additive method which was developed by
Hwang and Yoon, 1981, total score for the different
schemes can be calculated using equation as shown below,
with usual notations
 cpci cpTS X W C for p 1, 2,3,4,...n     … (v)
Where,
ciTS = total score of the highway project against the
criterion c
cpX = crisp score of the highway project data against
Sub-criterion p of the criterion c
 cpW C = weight (importance value) of sub criterion p of
the criterion c
IJRET: International Journal of Research in Engineering and Technology eISSN: 2319-1163 | pISSN: 2321-7308
_______________________________________________________________________________________________
Volume: 05 Issue: 08 | Aug-2016, Available @ http://ijret.esatjournals.org 35
Now, safety potential importance weight  ciW C  
of these
criterion c for project 1 can be calculated as,
 ci ci ciW C TS TS  ………….(vi)
2.8 Overall Score
As per the additive weighing method which was developed
by Hwang and Yoon, 198, overall score for the different
projects can be calculated using the following equation, with
usual notations
 ci ciOS TS W C for i 1, 2, ...n     …..(vii)
3. ILLUSTRATIVE EXAMPLE
For this study the data of safety were collected from 3
highway projects which are in the vicinity of PCMC Pune,
Maharashtra, India For the selection of appropriate safety
four criteria were considered like PPE, worker safety, traffic
safety and equipment certification.
The following sub criteria of defined criteria are considered
for the study:
Personal Protective Equipment (PPE): Helmet, Hard hats,
Safety goggles, Gloves, High Visibility Clothing, Safety
Boots, Earplugs, Mask and Toe Guards.
Worker Safety: Safety Training, Temporary Traffic
Control, Worker Safety for Highway Construction
Standards, Workers Visibility, Facts and Statistics, National
Work Zone Awareness and Additional Resources.
Traffic Safety: Distance of Sign Boards, Visibility of
Labour, Traffic Control, Diversion of Traffic, Signals and
Barricades.
Equipment Certification: Appropriate License for JCB
Operator, Certification of Respective Equipment,
Maintenance schedule of Equipment and Equipment Safety.
The table-2 shows experts opinion by professionals for sub
criteria of PPE.
Table-2: Expert Opinion (Professional)
SUB CRITERIA
SP
1
SP
2
SP
3
SP
4
SP
5
Helmet VI VI VI VI VI
Hard hats I VI I I VI
Safety goggles A VI I I VI
Gloves A VI I I VI
High visibility
clothing
A VI VI VI VI
Safety boots I VI VI VI VI
Earplugs A I I I I
Mask A I I A I
Toe guard LI I I I I
SP=Safety Professional Expets
5. RESULTS AND DISCUSSION
Evaluation of Appropriate Safety Potential Index (ASPI)
The fuzzy Multi Criteria Decision Making method was used
for the calculation of SPI. The normalized weight for each
sub criterion of PPE,Workers safety,Traffic Safety and
Equipment Certification was calculated.
Then, Total score was calculated for criteria by using
equation (v). Similarly, Total score for other criteria was
calculated. Table-3 shows Total score.
Table-3: Total score (Academician and Professional)
Criteria Project
A
Project
B
Project
C
Academicias PPE 1 0.891 0.901
Professionals 0.666 0.734 0.693
Academicias Worker
safety
0.645 0.748 0.652
Professionals 0.671 0.742 0.661
Academicias Traffic
safety
0.838 0.754 0.689
Professionals 0.751 0.668 0.684
Academicias Equipmnt
certificatin
0.747 0.751 0.871
Professionals 0.991 0.832 0.912
Then, Overall score was calculated using equation (vii)
Table-4 shows overall score or SPI of Academicians.
Table-4: Overall Score or Safety Potential Index
(Academicians)
Project Overall Score Remark
1 0.801 Not Safe
2 0.796 Least Safe
3 0.792 Least Safe
Table-5 shows overall score or SPI of Professionals
Table-5: Overall Score or Safety Potential Index
(Professionals)
Project Overall Score Remark
1 0.782 Least Safe
2 0.734 Least Safe
3 0.750 Least Safe
On the basis of values of Appropriate Safety Potential Index
(SPI) client can see appropriateness of projects with the help
of SPI scale
Table-6: Safety Potential Scale
Sr. No. Scale Linguistic Term
1. 0.00 - 0.20 Highly Safe
2. 0.21 - 0.40 Safe
3. 0.41 - 0.60 Moderately Safe
4. 0.61 - 0.80 Least Safe
5. 0.81 - 1.00 Not Safe
IJRET: International Journal of Research in Engineering and Technology eISSN: 2319-1163 | pISSN: 2321-7308
_______________________________________________________________________________________________
Volume: 05 Issue: 08 | Aug-2016, Available @ http://ijret.esatjournals.org 36
6. CONCLUSION
Using the MCDM method the SPI that is Safety Potential
Index model have been developed to decide Appropriate
Safety Management in Highway Projects, Residential
Buildings and Roads.
The following are the conclusions on the basis of the
analysis:
i) For the selection of safety by the Fuzzy logic is found
to be more applicable comparing to the crisp approach.
ii) The index value fluctuate slightly, when we relate the
linguistic values of Academicians and Professionals.
REFERENCES
[1] Adam S. Markowskia, M. Sam Mannanb,
AgataBigoszewskaa. (2014). “Fuzzy logic for process
safety analysis”. Journal of loss prevention in process
industries. November 2009, Vol. 22(6):695-702.
[2] Zadeh [1965] “Fuzzy sets” Information and Control,
8: 338–353.
[3] C.E.Jackson Jr, (1993), “Discussion of ASCE should
have a Construction Safety Committee”. J. Prof.
Issues Eng. Educ. Pract., ASCE Journal, 118(1): 56-
59.
[4] Chien-Chang Chou, “Integrated Short- Term and
Long-Term MCDM Model for solving location
selection problem”. No. 11, November 1, 2009,
@ASCE, Vol. 135: 137-142.
[5] C.E.Jackson Jr, (1993), “Discussion of ASCE should
have a Construction Safety Committee”. J. Prof.
Issues Eng. Educ. Pract., ASCE Journal, 118(1): 56-
59.
[6] D. Singh and Robert L. K. Tiong, “A Fuzzy Decision
Framework for Contractor Selection” Journal of
Construction Engineering and Management, 1,62
January, 2005, ASCE
[7] Frank Gross, Ph.D and Paul P. Jovanis, Ph.D [2007]
“Estimation of the Safety Effectiveness of Lane and
ShoulderWidth: Case-Control Approach”J. Transp.
Eng.,133(6)
[8] How Sing Siia, Tom Ruxtona, JinWangb (2001) “A
Fuzzy logic based approach to qualitative safety
modelling for marine system”, Reliability Engg. &
System Safety, July 2001, Vol. 73(1): 19-34.
[9] Jimmie Hinze, M.ASCE, Matthew Hallowell,
A.M.ASCE and Kevin Baud(2013) “Construction-
Safety Best Practices and Relationships to Safety
Performance” J. Constr. Eng. ManageVolume 139,
sIssue 10
[10] Jimmie Hinze [1988] “Safety on Large Building
Construction Projects” J. Constr. Eng. Manage,
114(2): 286-293
[11] Matthew R. Hallowell and John A. Gambatese [2009]
“Construction Safety Risk Mitigation”J. Constr. Eng.
Manage. 135(12)
[12] M. Medineckiene, E.K. Zavadskas, Z. Turskis,
(2011). “Dwelling selection by applying Fuzzy game
theory”, Archives of Civil and Mechanical Engg.,
2011, Vol. 11(2): 681-697.
[13] Richard J. Coble and Robert L. Blatter Jr. [1999]
“Concerns with Safety in Design/Build Process” J.
Archit. Eng 5(2): 44-48
[14] Saaty, T. L. (1977). “A scaling method for priorities
in hierarchical structures.” Journal of Mathematical
Psychology, 15, 234-281.
[15] Zongzhi Li, Konstantinos Kepaptsoglou, Yongdoo
Lee, Harshingar Patel, Yi Liu, and Han Gyol Kim
(2013),”Safety Effects of Shoulder Paving for Rural
and Urban Interstate, Multilane and Two-way
Highways”, Journal of transportation engineering ©
ASCE / October 2013: 1012-1014

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A fuzzy approach to evaluate suitability of infrastructure projects with safety

  • 1. IJRET: International Journal of Research in Engineering and Technology eISSN: 2319-1163 | pISSN: 2321-7308 _______________________________________________________________________________________________ Volume: 05 Issue: 08 | Aug-2016, Available @ http://ijret.esatjournals.org 32 A FUZZY APPROACH TO EVALUATE SUITABILITY OF INFRASTRUCTURE PROJECTS WITH SAFETY Gaurav Ramesh Pawar1, Purushottam Dange2, R. K. Lad3 1 PG Student, Construction and Management Department of Civil Engineering, Dr.D. Y. Patil Institute of Engineering and Technology Pimpri Pune-18, Maharashtra, India 2 Professor, Department of Civil Engineering,Dr. D. Y. Patil Institute of Engineering and Technology Pimpri Pune-18 , Maharashtra , India 3 Dean Administration,Department of Civil Engineering, Dr. D. Y. Patil Institute of Engineering and Technology Pimpri Pune-18 , Maharashtra , India Abstract The current project deals with safety management in highways and infrastructure (Buildings and Roads).The research is partly doctrinal and partly empirical in natural. Research tools used is fuzzy logic. The scope research has been to mainly cover highways and infrastructure (Buildings and Roads).The topic of construction includes the process of Highways, Building and society roads, construction and maintenance, including the design of respective construction, contracting, accomplishing, supervision, and maintenance of Highways, Building, society roads and related structures. Our study of project will fulfil the safety requirements by using Fuzzy logic that should be consider before starting highways and infrastructure (Buildings and Roads) and this study will be very helpful in construction industry. as this study will decrease the chances of accidents as well as to save lives. Today so many people lose their lives when traffic has to move through maintenance works and road construction every year also during the construction of Buildings.The cases of construction section injuries and accidental death are predicted to go even higher than now. Construction in highways and infrastructure (Building and Roads) covers various activities, techniques, materials and source of danger therefore because of this conditions the probability of accidents increases every time. The fact is construction industry has the most disappointing record of safety compare to all industrial sectors, with a risk of casualty 5 times higher than several other industry in the world. The higher rate of accidents and deaths in the construction industry compare to all other industries are may be due to the process of the construction work. The factors due to which the rate of accidentsare high in construction industry are such as poor planning,lack of safety training, lack of supervision, lack of safety equipment , and lack of incident investigation helps to create more problems in future. Hence, by using Multi criteria decision making by Fuzzy logic will reduce the risk of accidents while construction of highways and infrastructure (Building and Roads). Keywords: Highway and Infrastructure Safety, Defuzzification, Fuzzy Multi Criteria Decision Making, Expert Opinion, Linguistic Terms and Safety Potential Index --------------------------------------------------------------------***---------------------------------------------------------------------- 1. INTRODUCTION Now days in India or we can say everywhere safety regarding every aspect that could be in chemical, manufacturing, glass, etc. industries are very important as it involves skilled or unskilled labour lives and this source is significantly important and this source cannot be replaced by any other resource. In construction industry the safety issues are very important, as in construction industry heavy equipment(s), falling objects, excavations, etc. are involved and this kind of risks can take lives. So the safety in construction industry has to be in higher level of priorities. Our study of the project will fulfil the safety requirements that should be considered for highways and infrastructure (Buildings and Roads) this study will be very helpful in construction industry as this study will decrease the chances of accidents as well as to save lives. Safety can be said to be a feeling of welfare and security insured by the activity a person indulges in. Safety is the condition of being secure. During construction projects as has been seen many risk factors are involved. To protect a person from such risks a proper program of safety and security should be formulated. Due to increasing the infrastructure budget and funding for Highways and road construction are resulting huge increase in the number of highway and road construction projects in India. Also, the safety of road consumers and people who are working is important concern on roads and highways worldwide. Today so many people lose their lives when traffic has to move through road construction and maintenance works every year, also during the construction of Buildings. The cases of construction section injuries and accidental death are predicted to go even higher than now Zongzhi Li, Konstantinos Kepaptsoglou, Yongdoo Lee, Harshingar Patel, Yi Liu, and HanGyol Kim [15], have
  • 2. IJRET: International Journal of Research in Engineering and Technology eISSN: 2319-1163 | pISSN: 2321-7308 _______________________________________________________________________________________________ Volume: 05 Issue: 08 | Aug-2016, Available @ http://ijret.esatjournals.org 33 introduced ananalysis method toassess the effects of highway projects on safety performance. C. E. Jackson [3] suggested that, from the year 1852 the ASCE have served civil engineers worldwide and also the construction industry, after all of this still they do not have construction safety committee. Civil engineers from all over the world take guidance about every project from ASCE. Safety is very crucialpart of the civil engineering. Jimmie Hinze, M.ASCE, Matthew Hallowell, A.M.ASCE and Kevin Baud [9] According to them after the Occupational Safety and Health Act 1970 which was approved by congress, the improvement has been experienced in the construction industry related to the safety . In the last few years some improvement has been made with due respect to safety directive in the construction industry. But there is still a need to formulate better tactics for safety during construction projects. How Sing Siia,, Tom Ruxtona, JinWangb [8]have used Fuzzy logic to develop a safety model, by using the IF- THEN rule of human evidence and questioning without using precise quantitative analyses that can model the quantitative aspect. The research has been done to target the development of linguistic variables. Adam S. Markowskia, M. Sam Mannanb, AgataBigoszewskaa[1] determine the functions of fuzzy set& explores the application of fuzzy sets concept in terms of basic tools used in practicing safety analysis such as fault and event tree methods which can further be used in the “bow-tie” approach for accident scenario risk assessment. In the traditional fault and event tree analyses, the input variables are taken as exact values and the exact outcome data are received by asuitable mathematical approach. In the fuzzy method, all variables are switched by fuzzy numbers in the process of fuzzification and successively using fuzzy arithmetic, fuzzy probability of the top event for fault tree, and fuzzy outcome probabilities for event tree are calculated. A single value for each of the outcome event result can be obtained with the use of one of the defuzzification methods. A characteristic case study consisting of a fault tree for rupture of the iso-butane storage tank and the event tree for its consequences is achieved and anassessmentamongst the traditional approach and fuzzy method is prepared. D. Singh and Robert L. K. Tiong [6] have explained the best process for the selection of the contractor according to the need of the project so that the best construction can be achieved in the worth amount of the money. 2. METHODOLOGY Figure-1 showsa flow diagram of developed methodology. Fig-1: A flow diagram of methodology 2.1 Fuzzy Set & Fuzzy Logic A fuzzy set can be defined mathematically to every individual which has a degree or grade of membership in the particular set of fuzzy. Which represents the degree to which individual is similar with the concept explained by the fuzzy set. Thus, individual can belong greater or lesser degree in the fuzzy set. Membership grades arerepresented by real number ranging close between the As, fuzzy logic deals with form of values logic where truth values of variables can be any real number range between 0 and 1, it is a multi-
  • 3. IJRET: International Journal of Research in Engineering and Technology eISSN: 2319-1163 | pISSN: 2321-7308 _______________________________________________________________________________________________ Volume: 05 Issue: 08 | Aug-2016, Available @ http://ijret.esatjournals.org 34 valued type of the logic. By the human being reasoning, information and also common sense questioning the results are close to appropriate results which derives in the Fuzzy logic. (Klir and Yuan, 2003) 2.2 Linguistic Variable The fuzzy number plays an important role to elaborate quantitative fuzzy variables. The fuzzy numbers represent linguistic values, such as- very good, good, fair and etc. For our study, the linguistic terms used are- very important, important, average, least important, and very least important. The table below showing the linguistic terms and fuzzy numbers used. Fig. 2 shows linguistic terms which are presented by graph of fuzzy numbers: Table-1: Linguistic Terms and Fuzzy Numbers LINGUISTIC TERMS FUZZY NUMBER VI (Very Important) (0.777,0.888,1.000,1.000) I (Important) (0.555,0.666,0.777,0.888) A (Average) (0.333,0.444,0.555,0.666) LI (Least Important) (0.111,0.222,0.333,0.444) VLI (Very Least Important) (0.000,0.000,0.111,0.222) Fig-2: Fuzzy Sets Expert’s opinion from the field of civil engineering are taken from professionals and academicians, for sub criteria for Contractor’s need, Safety details, PPE, worker safety, traffic safety, equipment Certificationand other safety. 2.3 Average Fuzzy Number (AFN) The further average fuzzy number can be calculated by the linguistic terms given by the experts. The terms that are allocated by experts for every sub criterion of the Contractor’s need, Safety details, PPE, worker safety, traffic safety, equipment certification, and other safety can be transformed into fuzzy numbers. Then AFN will be equated by the following calculations.    ij i1 i2 iE 1A a a ... a for i 1,2,..,n & j 1,2,...,Ep p p p E        …….. (i) Where, ij p A = Fuzzy number assigned to a sub criterion, E = Number of experts & n = Number of fuzzy numbers. 2.4 Defuzzification & Normalized Weight It is a calculation that creates a non-fuzzy or crisp value which sufficiently represents the level of fulfilment of the combined fuzzy number. In our study, trapezoidal fuzzy set are considered. A significance of sub criterion was thought- of as range value but not with a certain value. So, only trapezoidal fuzzy sets were considered. Let a Trapezoidal fuzzy number be limited to x1, x2, x3 and x4 as shown in the Figure then its de-fuzzified value (crisp score) ‘e’. For the criterion can be obtained by using the following (Kaufman and Gupta, 1991). e = (x1 + x2 + x3 + x4) / 4 ……. (ii) 2.5 Fuzz Decision Matrix 13 1 2 3 n 1 2 3 n 1 C 1 2 3 n 2 n1 2 3 n μ μ μ ....μ q , q , q ....q X r , r , r ....r s , s , s ....s H H H           …. (iii) Where q1, q2, q3... qn, r1, r2, r3... rn and s1, s2, s3... nn are fuzzy values of Safety goggles for Project 1, 2 and 3 respectively 2.6 The Crisp Scores Crisp scores of sub criterion for every project can be obtained by using following equations: H1 = (lq1 + q2 + q3 + ... + qn)/n H2 = (r1 + r2 + r3 + ... + rn)/n Hn = (s1 + s2 + s3 + ... + sn)/n …………(iv) 2.7 Total Score As per the simple additive method which was developed by Hwang and Yoon, 1981, total score for the different schemes can be calculated using equation as shown below, with usual notations  cpci cpTS X W C for p 1, 2,3,4,...n     … (v) Where, ciTS = total score of the highway project against the criterion c cpX = crisp score of the highway project data against Sub-criterion p of the criterion c  cpW C = weight (importance value) of sub criterion p of the criterion c
  • 4. IJRET: International Journal of Research in Engineering and Technology eISSN: 2319-1163 | pISSN: 2321-7308 _______________________________________________________________________________________________ Volume: 05 Issue: 08 | Aug-2016, Available @ http://ijret.esatjournals.org 35 Now, safety potential importance weight  ciW C   of these criterion c for project 1 can be calculated as,  ci ci ciW C TS TS  ………….(vi) 2.8 Overall Score As per the additive weighing method which was developed by Hwang and Yoon, 198, overall score for the different projects can be calculated using the following equation, with usual notations  ci ciOS TS W C for i 1, 2, ...n     …..(vii) 3. ILLUSTRATIVE EXAMPLE For this study the data of safety were collected from 3 highway projects which are in the vicinity of PCMC Pune, Maharashtra, India For the selection of appropriate safety four criteria were considered like PPE, worker safety, traffic safety and equipment certification. The following sub criteria of defined criteria are considered for the study: Personal Protective Equipment (PPE): Helmet, Hard hats, Safety goggles, Gloves, High Visibility Clothing, Safety Boots, Earplugs, Mask and Toe Guards. Worker Safety: Safety Training, Temporary Traffic Control, Worker Safety for Highway Construction Standards, Workers Visibility, Facts and Statistics, National Work Zone Awareness and Additional Resources. Traffic Safety: Distance of Sign Boards, Visibility of Labour, Traffic Control, Diversion of Traffic, Signals and Barricades. Equipment Certification: Appropriate License for JCB Operator, Certification of Respective Equipment, Maintenance schedule of Equipment and Equipment Safety. The table-2 shows experts opinion by professionals for sub criteria of PPE. Table-2: Expert Opinion (Professional) SUB CRITERIA SP 1 SP 2 SP 3 SP 4 SP 5 Helmet VI VI VI VI VI Hard hats I VI I I VI Safety goggles A VI I I VI Gloves A VI I I VI High visibility clothing A VI VI VI VI Safety boots I VI VI VI VI Earplugs A I I I I Mask A I I A I Toe guard LI I I I I SP=Safety Professional Expets 5. RESULTS AND DISCUSSION Evaluation of Appropriate Safety Potential Index (ASPI) The fuzzy Multi Criteria Decision Making method was used for the calculation of SPI. The normalized weight for each sub criterion of PPE,Workers safety,Traffic Safety and Equipment Certification was calculated. Then, Total score was calculated for criteria by using equation (v). Similarly, Total score for other criteria was calculated. Table-3 shows Total score. Table-3: Total score (Academician and Professional) Criteria Project A Project B Project C Academicias PPE 1 0.891 0.901 Professionals 0.666 0.734 0.693 Academicias Worker safety 0.645 0.748 0.652 Professionals 0.671 0.742 0.661 Academicias Traffic safety 0.838 0.754 0.689 Professionals 0.751 0.668 0.684 Academicias Equipmnt certificatin 0.747 0.751 0.871 Professionals 0.991 0.832 0.912 Then, Overall score was calculated using equation (vii) Table-4 shows overall score or SPI of Academicians. Table-4: Overall Score or Safety Potential Index (Academicians) Project Overall Score Remark 1 0.801 Not Safe 2 0.796 Least Safe 3 0.792 Least Safe Table-5 shows overall score or SPI of Professionals Table-5: Overall Score or Safety Potential Index (Professionals) Project Overall Score Remark 1 0.782 Least Safe 2 0.734 Least Safe 3 0.750 Least Safe On the basis of values of Appropriate Safety Potential Index (SPI) client can see appropriateness of projects with the help of SPI scale Table-6: Safety Potential Scale Sr. No. Scale Linguistic Term 1. 0.00 - 0.20 Highly Safe 2. 0.21 - 0.40 Safe 3. 0.41 - 0.60 Moderately Safe 4. 0.61 - 0.80 Least Safe 5. 0.81 - 1.00 Not Safe
  • 5. IJRET: International Journal of Research in Engineering and Technology eISSN: 2319-1163 | pISSN: 2321-7308 _______________________________________________________________________________________________ Volume: 05 Issue: 08 | Aug-2016, Available @ http://ijret.esatjournals.org 36 6. CONCLUSION Using the MCDM method the SPI that is Safety Potential Index model have been developed to decide Appropriate Safety Management in Highway Projects, Residential Buildings and Roads. The following are the conclusions on the basis of the analysis: i) For the selection of safety by the Fuzzy logic is found to be more applicable comparing to the crisp approach. ii) The index value fluctuate slightly, when we relate the linguistic values of Academicians and Professionals. REFERENCES [1] Adam S. Markowskia, M. Sam Mannanb, AgataBigoszewskaa. (2014). “Fuzzy logic for process safety analysis”. Journal of loss prevention in process industries. November 2009, Vol. 22(6):695-702. [2] Zadeh [1965] “Fuzzy sets” Information and Control, 8: 338–353. [3] C.E.Jackson Jr, (1993), “Discussion of ASCE should have a Construction Safety Committee”. J. Prof. Issues Eng. Educ. Pract., ASCE Journal, 118(1): 56- 59. [4] Chien-Chang Chou, “Integrated Short- Term and Long-Term MCDM Model for solving location selection problem”. No. 11, November 1, 2009, @ASCE, Vol. 135: 137-142. [5] C.E.Jackson Jr, (1993), “Discussion of ASCE should have a Construction Safety Committee”. J. Prof. Issues Eng. Educ. Pract., ASCE Journal, 118(1): 56- 59. [6] D. Singh and Robert L. K. Tiong, “A Fuzzy Decision Framework for Contractor Selection” Journal of Construction Engineering and Management, 1,62 January, 2005, ASCE [7] Frank Gross, Ph.D and Paul P. Jovanis, Ph.D [2007] “Estimation of the Safety Effectiveness of Lane and ShoulderWidth: Case-Control Approach”J. Transp. Eng.,133(6) [8] How Sing Siia, Tom Ruxtona, JinWangb (2001) “A Fuzzy logic based approach to qualitative safety modelling for marine system”, Reliability Engg. & System Safety, July 2001, Vol. 73(1): 19-34. [9] Jimmie Hinze, M.ASCE, Matthew Hallowell, A.M.ASCE and Kevin Baud(2013) “Construction- Safety Best Practices and Relationships to Safety Performance” J. Constr. Eng. ManageVolume 139, sIssue 10 [10] Jimmie Hinze [1988] “Safety on Large Building Construction Projects” J. Constr. Eng. Manage, 114(2): 286-293 [11] Matthew R. Hallowell and John A. Gambatese [2009] “Construction Safety Risk Mitigation”J. Constr. Eng. Manage. 135(12) [12] M. Medineckiene, E.K. Zavadskas, Z. Turskis, (2011). “Dwelling selection by applying Fuzzy game theory”, Archives of Civil and Mechanical Engg., 2011, Vol. 11(2): 681-697. [13] Richard J. Coble and Robert L. Blatter Jr. [1999] “Concerns with Safety in Design/Build Process” J. Archit. Eng 5(2): 44-48 [14] Saaty, T. L. (1977). “A scaling method for priorities in hierarchical structures.” Journal of Mathematical Psychology, 15, 234-281. [15] Zongzhi Li, Konstantinos Kepaptsoglou, Yongdoo Lee, Harshingar Patel, Yi Liu, and Han Gyol Kim (2013),”Safety Effects of Shoulder Paving for Rural and Urban Interstate, Multilane and Two-way Highways”, Journal of transportation engineering © ASCE / October 2013: 1012-1014