An additive fuzzy programming model for multiobjective transportation problem

All existing methods generate a set of nondominated solutions or construct a single compromise solution for the linear multiobjective transportation problem in which objectives are equally important. In this paper, an additive fuzzy programming model for the multiobjective transportation problem is presented. The method aggregates the membership functions of the objectives to construct the relevant decision function. Weights and priorities for nonequivalent objectives are also incroporated in the method. This model gives a nondominated solution which is nearer to the best compromise solution. A Fortran program has been developed based on simple and weighted additive algorithms. The method is illustrated with a numerical example.