An Innovative Modeling of Fuzzy Assignment Problem by Runge-Kutta Ranking (RKR) Method

Abstract

An Assignment problem is a unique variety of the Linear Programming Problem. In this article, the payoff outlay values of the Fuzzy Assignment Problem are measured as Fuzzy Numbers in particular, are considered as Triangular Fuzzy Numbers.  First, the Fuzzy Numbers are rehabilitated into crisp standard values using fuzzy ranking methods.  Then, the tremendous extreme solution of the Fuzzy Assignment Problem is acquired by a typical Hungarian’s algorithm technique.  Now, Runge Kutta ranking method is a new proposed approach is demonstrated by a numerical example and compared our proposed techniques with all other ranking methods.