Study on multi-objective linear fractional programming problem involving pentagonal intuitionistic fuzzy number

In this paper, we have suggested an alternative approach to solve intuitionistic fuzzy multi objective linear fractional programming problems (IFMOLFPP). Here, the cost of the objective function, the resources and the technological coefficients are taken to be pentagonal intuitionistic fuzzy numbers...

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Published in:Results in control and optimization Vol. 6; p. 100091
Main Authors: Sahoo, D., Tripathy, A.K., Pati, J.K.
Format: Journal Article
Language:English
Published: Elsevier B.V 01.03.2022
Elsevier
Subjects:
Accuracy function
Efficient solution
Nonlinear membership function
Pentagonal intuitionistic fuzzy number
90C32
Accuracy function
Efficient solution
90C29
Pentagonal intuitionistic fuzzy number
Nonlinear membership function
90C70
ISSN:2666-7207, 2666-7207
Online Access:Get full text
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Abstract In this paper, we have suggested an alternative approach to solve intuitionistic fuzzy multi objective linear fractional programming problems (IFMOLFPP). Here, the cost of the objective function, the resources and the technological coefficients are taken to be pentagonal intuitionistic fuzzy numbers. In the proposed method, we have transformed (IFMOLFPP) to intuitionistic fuzzy multi objective linear programming problem (IFMOLPP) and then the resultant (IFMOLPP) is converted into crisp multi objective linear programming problem (CMOLPP) under well defined accuracy function. We have established some theorems to show that the efficient solution of (CMOLPP) is also an efficient solution of (IFMOLPP) and (IFMOLFPP). Then by using Zimmermann’s technique under suitable non linear membership functions, we have reduced (CMOLPP) to a single objective LPP which can be easily solved by any LPP algorithm or software. We have illustrated the proposed approach by Numerical examples.
AbstractList In this paper, we have suggested an alternative approach to solve intuitionistic fuzzy multi objective linear fractional programming problems (IFMOLFPP). Here, the cost of the objective function, the resources and the technological coefficients are taken to be pentagonal intuitionistic fuzzy numbers. In the proposed method, we have transformed (IFMOLFPP) to intuitionistic fuzzy multi objective linear programming problem (IFMOLPP) and then the resultant (IFMOLPP) is converted into crisp multi objective linear programming problem (CMOLPP) under well defined accuracy function. We have established some theorems to show that the efficient solution of (CMOLPP) is also an efficient solution of (IFMOLPP) and (IFMOLFPP). Then by using Zimmermann’s technique under suitable non linear membership functions, we have reduced (CMOLPP) to a single objective LPP which can be easily solved by any LPP algorithm or software. We have illustrated the proposed approach by Numerical examples.
ArticleNumber 100091
Author Sahoo, D.
Pati, J.K.
Tripathy, A.K.
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  givenname: D.
  surname: Sahoo
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  email: sahoo.deepanjali@gmail.com
  organization: Department of Mathematics, C.V.Raman, Global University, Bhubaneswar Odisha, India
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  givenname: A.K.
  surname: Tripathy
  fullname: Tripathy, A.K.
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  givenname: J.K.
  surname: Pati
  fullname: Pati, J.K.
  email: jkpati2015@gmail.com
  organization: Department of Mathematics, C.V.Raman, Global University, Bhubaneswar Odisha, India
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Keywords 90C32
Accuracy function
Efficient solution
90C29
Pentagonal intuitionistic fuzzy number
Nonlinear membership function
90C70
Language English
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Snippet In this paper, we have suggested an alternative approach to solve intuitionistic fuzzy multi objective linear fractional programming problems (IFMOLFPP). Here,...
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SubjectTerms Accuracy function
Efficient solution
Nonlinear membership function
Pentagonal intuitionistic fuzzy number
Title Study on multi-objective linear fractional programming problem involving pentagonal intuitionistic fuzzy number
URI https://dx.doi.org/10.1016/j.rico.2021.100091
https://doaj.org/article/3e9b5b67992c4346953a9545bb3c20fa
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