A method for unbalanced transportation problems in fuzzy environment
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In this paper, we consider the fully fuzzy unbalanced transportation problem in which the total availability/production is more than the total demand and propose a method to solve it. Such problems are usually solved by adding a dummy destination. Since the dummy destination has no existence in reality, the excess availability is not transported at all and is held back at one or more origins. The method proposed in this paper gives the additional information that to which of the destination(s) the excess availability be transported for future demand at minimum cost. The advantage of the proposed method over the existing method is that the fuzzy optimal solution obtained does not involve the dummy destination. The method has been illustrated with the help of an example.
KeywordsTrapezoidal fuzzy number fully fuzzy transportation problem fuzzy optimal solution
The authors thank to the Corresponding Editor and the anonymous reviewer for their valuable suggestions which helped in improving the paper. The first author would also like to thank the Council of Scientific and Industrial Research (CSIR), Government of India for providing financial support.
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