Methods for solving unbalanced fuzzy transportation problems

In this paper, two new methods (based on fuzzy linear programming formulation and classical transportation methods) are proposed to find the fuzzy optimal solution of unbalanced fuzzy transportation problems occurring in real life situations. Also, a new representation of trapezoidal fuzzy numbers is proposed. The advantages of the proposed methods over existing methods and the proposed representation of trapezoidal fuzzy numbers over existing representation are also discussed. To illustrate the proposed methods an unbalanced fuzzy transportation problem is solved by using both the proposed methods and it is shown that the obtained results are same.

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