A Novel Method to Solve Assignment Problem in Fuzzy Environment

Abstract

In the literature, there are various methods to solve assignment problems (APs) in which parameters are represented by triangular or trapezoidal fuzzy numbers. In this paper, we compare the assignment cost calculated by existing method with the assignment cost which has been found out in this paper without converting fuzzy assignment problem (AP) into crisp AP by using Fuzzy Hungarian Method (FHM), Robust’s Ranking Technique and operations for subtraction and division on triangular fuzzy number (TFN) proposed by Gani and Assarudeen (2012).

Keywords: Fuzzy arithmetic, Triangular Fuzzy Number, Robust’s Ranking Function, Assignment Problem.