A Segregated Advancement in the Solution of Triangular Fuzzy Transportation Problems

Abstract

The primary issues in the solution of fuzzy transportation problems are loss of information, violation of the basic trading rule, and incomplete fuzzy information. This research article is a successful effort to overcome these issues. Here, a new method to solve the triangular fuzzy transportation problem by segregating it into three classical transportation problems has been developed without the use of any ranking technique. The minimum demand supply method is used to obtain an initial basic feasible solution of all three transportation problems individually. Then, the stepping stone method is applied to check the optimality of the solution. The classical solutions obtained are clubbed to get the fuzzy optimal solution of the triangular fuzzy transportation problem. This procedure is demonstrated with the help of numerical examples. A comparison of results from this procedure with the other existing methods confirms the applicability of the segregated approach. This approach can be helpful in the decision-making problems where data is given in the form of fuzzy numbers and can also be extended to an unbalanced fuzzy transportation problem.

Key Words and Phrases:

• Segregated approach
• triangular fuzzy number
• minimum demand supply
• stepping stone
• fuzzy transportation problem
• optimal solution

Acknowledgements

The authors sincerely wish to thank anonymous reviewer(s) and the Editor for their precious time and valuable suggestions which make this article more presentable.