• FUZZY OPTIMAL ASSIGNMENT PROBLEMS VIA ROBUST RANKING TECHNIQUES

Abstract

Assignment problem (AP) is a well-known topic and is used very often in solving problems of engineering and management science. In this problem a_ij denotes the cost for assigning the j^th job to the i^th person. The cost is usually deterministic in nature. In this paper ã_ij has been considered to be trapezoidal and triangular square numbers denoted by ã_ij which are more realistic and general in nature. Robust’s ranking method [10] has been used for ranking the fuzzy numbers. The fuzzy assignment problem has been transformed into crisp assignment problem in the linear programming problem form and solved by using Hungarian method; Numerical examples show that the fuzzy ranking method offers an effective tool for handling the fuzzy assignment problem.