2011•Unpublished venueRequires access

Fuzzy Multi-objective Linear Plus Linear Fractional Programming Problem: Approximation and Goal Programming Approach

Pitam Singh, Shiv Datt Kumar, Ravindra Kumar Singh

Abstract

In this article, a fuzzy goal programming (GP) and method of approximation is presented for the solution of a multiobjective linear plus linear fractional programming problem. In the proposed approach, membership functions are defined for each fuzzy goal and then a method of variable change on the under- and over- deviational variables of the membership functions associated with the fuzzy goals of the model is introduced. Then the problem is solved efficiently by using goal programming(GP) methodology and method of approximation(MAP). Three numerical examples is given for verification of the method. The examples are solved by optimization software TORA@ 2.0 version, 2006. AMS 2000 Subject Classification: 90C29, 90C32

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Key concepts: Goal programming, Mathematical optimization, Linear-fractional programming, Linear programming, Mathematics, Fractional programming, Fuzzy logic, Computer science