A lexicographic ordering-based approach for solving fuzzy transportation problems with triangular fuzzy numbers

There are several methods in the literature for solving fuzzy transportation problem (FTP) in which the transportation costs and supply and demand are fuzzy numbers. In this paper, the shortcomings of existing methods are pointed out and to overcome these shortcomings a novel algorithm, based on a new lexicographic ordering on triangular fuzzy numbers, is proposed to solve FTP by converting it into a multi-objective linear programming (MOLP) problem with three-objective functions. The advantages of the proposed method over the existing methods are discussed. The main contribution of this paper is providing a new technique to reduce the computational complexity of recently introduced fuzzy transportation models. Finally, to show the application of proposed method an application example and an existing real world FTP are solved by using the proposed method.

fuzzy transportation problem; FTP; multi-objective linear programming problem; lexicographic ordering; computational complexity.