Fuzzy goal programming approach to multiobjective linear plus linear fractional programming problem

This paper presents a fuzzy goal programming (GP) procedure for solving a multiobjective linear plus linear fractional programming problem. In the proposed approach GP model for achievement of the highest membership value of each of fuzzy goal defined for the linear plus linear fractional objectives is formulated. In the solution process, the method of variable change on the under- and over- deviational variables of the membership goals associated with the fuzzy goals of the model is introduced to solve the problem efficiently by using goal programming(GP) methodology and method of approximation(MAP). A numerical examples is given to illustrate this algorithm. The examples is solved by optimization software [email protected] 2.0 version, 2006.