Fuzzy programming approach to multicriteria decision making transportation problem

This paper presents an application of fuzzy linear programming to the linear multiobjective transportation problem, which gives efficient solutions as well as an optimal compromise solution.

Abstract

The linear multiobjective transportation problem is a special type of vector minimum problem in which constraints are all equality type and the objectives are conflicting in nature. All existing methods generate a set of nondominated solutions or construct a single compromise solution. This paper presents an application of fuzzy linear programming to the linear multiobjective transportation problem. It gives efficient solutions as well as an optimal compromise solution. For this method, an efficient Fortran program has been developed based on the fuzzy linear programming algorithm, which is an extended version of the simplex algorithm. This method is compared with two existing interactive algorithms using two numerical examples.