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Fuzzy Optimal Solution of Interval-Valued Fuzzy Transportation Problems

  • Deepika Rani
  • T. R. Gulati
Conference paper
Part of the Advances in Intelligent Systems and Computing book series (AISC, volume 258)

Abstract

There are several methods to solve the unbalanced fully fuzzy transportation problems in which the total availability is less than the total demand. In these methods a dummy source, is added to balance the problem. As this added dummy source does not exist actually, it is not genuine to apply existing methods to get real life solutions. So, in this paper a method is proposed to solve such unbalanced transportation problems and the obtained fuzzy optimal solution is in terms of original sources only. By applying the proposed method, we can get the information that the availability of which original source should actually be increased so that the total fuzzy demand is met and the total fuzzy transportation cost is minimum.

Keywords

Interval-valued fuzzy numbers Fully fuzzy transportation problem Fuzzy optimal solution 

Notes

Acknowledgments

The first author thanks CSIR, Government of India for providing financial support.

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Copyright information

© Springer India 2014

Authors and Affiliations

  1. 1.Department of MathematicsIndian Institute of Technology RoorkeeRoorkeeIndia

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