Solution of a Fuzzy Assignment Problem by using a New Ranking Method

Abstract: Assignment problem is a well-known topic and is used very often in solving problems of engineering and management science. In this problem ܿ denotes the cost for assigning the ݆௧ job to the ݅௧ person. This cost is usually deterministic in nature. In this paper ܿ has been considered to be triangular or trapezoidal fuzzy numbers denoted by ܿ̃which are more realistic and general in nature. A new ranking method is used for ranking the fuzzy numbers. The fuzzy assignment problem has been transformed into crisp assignment problem in the LPP form and solved by using LINGO 9.0. Numerical examples show that the fuzzy ranking method offers an effective way for handling the fuzzy assignment problem