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).
Key words: Fuzzy Assignment Problem, Trapezoidal Fuzzy numbers, Hungarian method
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