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Methods for solving unbalanced fuzzy transportation problems

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Abstract

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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Acknowledgments

The authors would like to thank to the Editor-in-Chief “Professor Constantin Zopounidis” and the anonymous reviewers for their suggestions which have led to an improvement in both the quality and clarity of the paper. Dr. Amit Kumar want to acknowledge the adolescent inner blessings of Mehar without which it was not possible to think the idea proposed in this manuscript. Mehar is a lovely daughter of Parmpreet Kaur (Research scholar under the supervision of Dr. Amit Kumar).

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Authors and Affiliations

  1. School of Mathematics and Computer Applications, Thapar University, Patiala, 147004, India

    Amit Kumar & Amarpreet Kaur

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  1. Amit Kumar
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  2. Amarpreet Kaur
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Correspondence to Amarpreet Kaur.

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Kumar, A., Kaur, A. Methods for solving unbalanced fuzzy transportation problems. Oper Res Int J 12, 287–316 (2012). https://doi.org/10.1007/s12351-010-0101-3

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  • DOI: https://doi.org/10.1007/s12351-010-0101-3

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