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Fuzzy Mathematical Programming approach for Solving FuzzyLinear Fractional Programming Problem

Published online by Cambridge University Press:  10 January 2014

Chinnadurai Veeramani  and
Muthukumar Sumathi
Chinnadurai Veeramani
Affiliation:
Department of Applied Mathematics Computational Sciences, PSG College of Technology, Coimbatore, India.. veerasworld@yahoo.com; ramasumathi.psg@gmail.com
Muthukumar Sumathi
Affiliation:
Department of Applied Mathematics Computational Sciences, PSG College of Technology, Coimbatore, India.. veerasworld@yahoo.com; ramasumathi.psg@gmail.com

Abstract

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In this paper, a solution procedure is proposed to solve fuzzy linear fractionalprogramming (FLFP) problem where cost of the objective function, the resources and thetechnological coefficients are triangular fuzzy numbers. Here, the FLFP problem istransformed into an equivalent deterministic multi-objective linear fractional programming(MOLFP) problem. By using Fuzzy Mathematical programming approach transformed MOLFPproblem is reduced single objective linear programming (LP) problem. The proposedprocedure illustrated through a numerical example.

Keywords

Triangular fuzzy numberLinear programming problemmulti objective linear fractional programming problemfuzzy mathematical programming

Information

Type
Research Article
Information
RAIRO - Operations Research , Volume 48 , Issue 1 , January 2014 , pp. 109 - 122
Copyright
© EDP Sciences, ROADEF, SMAI, 2014

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