Maximal Flow Problem on Network With Fuzzy Edge Capacity

In this paper, the fuzzy linear programming formulation of fuzzy maximal flow problems are proposed and on the basis of the proposed formulation a method is proposed to find the fuzzy optimal solution of fuzzy maximal flow problems. In the proposed method all the edge capacity is variable on an interval. By using the proposed method the fuzzy maximal solution of fuzzy maximal flow problems can be easily obtained. To illustrate the proposed method a numerical example is solved.

Keywords:

Maximal Flow , Membership Function , Edge Capacity , fuzzy Network , Fuzzy Linear Programming