Dhouib-Matrix-TP1 Method to solve Fuzzy Transportation Problem Involving Heptagonal Fuzzy Numbers

This paper, deals with the fuzzy transportation problem involving heptagonal fuzzy numbers. The novel heuristic Dhouib-Matrix-TP1 (DM-TPI) is used to solve the balanced and unbalanced problem. This method is adapted in order to generate a good initial basic feasible solution using the original metric (Average-Min). Several numerical examples are solved to illustrate the proposed algorithm and the solution are compared with those solutions obtained by using the Vogel Approximation Method (VAM) and the MOdified Distribution Method (MODI) for balanced numerical example and Russel’s Method, North West Corner Method and Least Cost Method for Unbalanced fuzzy numbers.