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Fuzzy Programming Approach for Solving Intuitionistic Fuzzy Linear Fractional Programming Problem

delete2015-12-15
delete28
PRE
AI
S
Sujeet Kumar Singh *
S
Shiv Prasad Yadav
DOI:10.1007/s40815-015-0108-2delete
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Abstract

Abstract

En 中文
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.
Keywords:
Triangular intuitionistic fuzzy number
Linear programming problem
Multi-objective linear programming problem
Fuzzy Mathematical programming
Membership function

Journal

International Journal of Fuzzy Systems cover
International Journal of Fuzzy Systems
IF:
3.6
Papers:
2.2K
Citations:
4.3K

Organization

I
indian institute of technology system (iit system)
Scholars:
9.5W
Papers: 9.9W
Citations: 93