On an Iterative Approach to Fuzzy Goal Programming

Document Type : Original Article

Abstract

In this paper, an algorithm is proposed for obtaining the set of all optimal solutions of
Fuzzy Goal Programming (FGP) problem. This algorithm fruitfully combines the quantitative
techniques for solving goal programming problem given by Dauer [5], the sensitivity information
given by Fiacco [1,2] and the stability notions given by Osman [7,8,9] together with the recently
fuzzy techniques achieved by Dubois & Prade [3], Zimmermann [4] and Sakawa & Yano [10].
This proposed algorithm has the advantage of combining all these legitimate techniques in one
and obtaining the set of all optimal solutions of the FGP model. The algorithm minimizes the
computation efforts needed to finding these solutions