Fuzzy Goal Programming Approach to Multi Objective Quadratic Programming Problem

Abstract

This paper presents a fuzzy goal programming (FGP) procedure for multi objective quadratic programming problem. In the FGP model formulation, firstly the objectives are transformed into fuzzy goals (membership functions) by means of assigning an aspiration level to each of them and suitable membership function is defined for each objectives. Then achievement of the highest membership value of each of fuzzy goals is formulated by minimizing the negative deviational variables. The proposed methodology and its efficiency over traditional utility function approach are illustrated by the numerical examples.