Fuzzy Multi-objective Linear Plus Linear Fractional Programming Problem: Approximation and Goal Programming Approach
نویسندگان
چکیده
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 underand overdeviational 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 Keywords-Multiobjective Programming, Fractional programming, Fuzzy Multiobjective Linear Fractional Programming, Goal programming, Fuzzy Goal Programming.
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