Improved Ranking Algorithm For Solution Of Fuzzy Assignment Problem Using Trapezoidal Fuzzy Numbers

Abstract

The paper proposes an improved Ranking Algorithm to solve a Fuzzy Assignment problem, the assignment cost being taken as Generalized Trapezoidal Fuzzy Numbers. The new ranking algorithm reduces the number of computations required to transform the Generalized Trapezoidal fuzzy Numbers [GTFN] into crisp ones. Then Optimal Cost is obtained using Hungarian method [3] in minimum time. The advantage of the method is illustrated using numerical examples to prove the efficiency of the proposed method for solving Generalized Fuzzy Assignment Problem (GFAP).