Fuzzy Programming Approach for Solving Intuitionistic Fuzzy Linear Fractional Programming Problem

This paper develops an approach for solving intuitionistic fuzzy linear fractional programming problem (IFLFPP). The cost of the objective function, the resources, and the technological coefficients are taken to be triangular intuitionistic fuzzy numbers. Here, the IFLFP problem is transformed into...

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Bibliographic Details
Published in:International journal of fuzzy systems Vol. 18; no. 2; pp. 263 - 269
Main Authors: Singh, Sujeet Kumar, Yadav, Shiv Prasad
Format: Journal Article
Language:English
Published: Berlin/Heidelberg Springer Berlin Heidelberg 01.04.2016
Springer Nature B.V
Subjects:
Algorithms
Artificial Intelligence
Computational Intelligence
Engineering
Fuzzy sets
Linear programming
Management Science
Mathematical programming
Numbers
Operations Research
Production planning
Triangular intuitionistic fuzzy number
Membership function
Linear programming problem
Multi-objective linear programming problem
Fuzzy Mathematical programming
ISSN:1562-2479, 2199-3211
Online Access:Get full text
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Summary:This paper develops an approach for solving intuitionistic fuzzy linear fractional programming problem (IFLFPP). The cost of the objective function, the resources, and the technological coefficients are taken to be triangular intuitionistic fuzzy numbers. Here, the IFLFP problem is transformed into an equivalent crisp multi-objective linear fractional programming problem (MOLFPP). By using fuzzy mathematical programming approach, the transformed MOLFPP is reduced into a single objective linear programming problem (LPP) which can be solved easily by suitable LPP algorithm. The proposed procedure is illustrated by a numerical example.
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ISSN:1562-2479
2199-3211
DOI:10.1007/s40815-015-0108-2