• MULTI-OBJECTIVE LINEAR FRACTIONAL PROGRAMMING PROBLEM BASED ON FUZZY GOAL PROGRAMMING

Abstract

This paper presents fuzzy goal programming approach for solving multi-objective linear fractional programming problem with multiple linear fractional objective functions. To construct the fractional membership functions, optimal solution of the objective functions are determined subject to the system constraints. The fractional membership functions are transformed into linear membership functions by first order Taylor series approximation. Then fuzzy goal programming approach is used to obtain highest degree of each of membership goals by minimizing negative deviational variables. A numerical example is solved to demonstrate the efficiency of the proposed approach.