UNBALANCED FUZZY TRANSPORTATION PROBLEM WITH ROUBAST RANKING TECHNIQUE

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Vijay Gupta, P. S. S. H. A. (2013). UNBALANCED FUZZY TRANSPORTATION PROBLEM WITH ROUBAST RANKING TECHNIQUE. Asian Journal of Current Engineering and Maths, 1(3). Retrieved from http://innovativejournal.in/index.php/ajcem/article/view/71
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Abstract

The aim of Fuzzy transportation is to find the least transportation cost of some commodities through a capacitated network when the supply and demand of nodes and the capacity and cost of edges are represented as fuzzy numbers. Many previous papers 6,7,12,13 have presented arithmetic operations, alpha level and simple ranking by operations. P. Pandian11 has presented some methods for fuzzy transportation problem. Finally all these research papers present the solutions of balanced FTP by alpha level, simple ranking methods and simple arithmetic operations.In this paper we proposed a ranking method 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.

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