A fuzzy approach to transport optimization problem

摘要

This paper presents an algorithm to solve a fuzzy transportation problem in which demand, supply and transportation costs are uncertain. Existing solution methods convert a fuzzy transportation problem into two or more crisp transportation problems and solves it. But, the proposed algorithm solves a fuzzy transportation problem without converting it into a crisp transportation problem. This approach results in a fuzzy total transportation cost, which is a fuzzy number. Sudhagar score method is used to rank fuzzy numbers. In comparing results of existing methods with the proposed method, this algorithm outperforms the previous ones. Two numerical examples explain working procedure of the proposed algorithm.