In this paper, the assignment problem with fuzzy costs or times  is investigated. Here  has been considered as the trapezoidal fuzzy number. Three different methods are proposed to solve the fuzzy assignment problem (FAP): (i) FAP is solved by using the fuzzy Hungarian method in which the magnitude of a fuzzy number is used to order the fuzzy numbers, (ii) FAP is defuzzified into the crisp assignment problem using the magnitude of a fuzzy number and optimal solution is obtained using Hungarian method and (iii) FAP is transformed into crisp linear programming problem using the magnitude of a fuzzy number and optimal solution is obtained by using TORA. Numerical example is provided to illustrate these three different methods and the solutions are compared.

fuzzy numbers, trapezoidal fuzzy numbers, fuzzy assignment problem, fuzzy Hungarian method.