Multi-Objective Quadratic Programming Problem Based on Fuzzy Goal Programming

摘要

This paper presents fuzzy goal programming approach for solving multi- objective quadratic programming problem. The problem deals with a decision- making unit with multiple objective functions, which are quadratic in nature and the system constraints are linear functions. In the proposed approach, we first formulate the quadratic membership functions by determining best solution of the objective functions subject to the system constraints. The quadratic membership functions are then linearized into equivalent linear membership functions at the best solution point by using first order Taylor polynomial series. Then fuzzy goal programming technique is used for solving the problem by minimizing only the negative deviational variables. A multi-objective quadratic programming problem is solved to demonstrate the efficiency of the proposed approach.