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Methods for Solving Fully Fuzzy Transportation Problems Based on Classical Transportation Methods

Author

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  • Amit Kumar

    (Thapar University, India)

  • Amarpreet Kaur

    (Thapar University, India)

Abstract

There are several methods, in literature, for finding the fuzzy optimal solution of fully fuzzy transportation problems (transportation problems in which all the parameters are represented by fuzzy numbers). In this paper, the shortcomings of some existing methods are pointed out and to overcome these shortcomings, 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 by representing all the parameters as trapezoidal fuzzy numbers. The advantages of the proposed methods over existing methods are also discussed. To illustrate the proposed methods a fuzzy transportation problem (FTP) is solved by using the proposed methods and the obtained results are discussed. The proposed methods are easy to understand and to apply for finding the fuzzy optimal solution of fuzzy transportation problems occurring in real life situations.

Suggested Citation

  • Amit Kumar & Amarpreet Kaur, 2011. "Methods for Solving Fully Fuzzy Transportation Problems Based on Classical Transportation Methods," International Journal of Operations Research and Information Systems (IJORIS), IGI Global, vol. 2(4), pages 52-71, October.
    • Handle: RePEc:igg:joris0:v:2:y:2011:i:4:p:52-71
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    Cited by:

    1. P. Senthil Kumar, 2018. "Linear Programming Approach for Solving Balanced and Unbalanced Intuitionistic Fuzzy Transportation Problems," International Journal of Operations Research and Information Systems (IJORIS), IGI Global, vol. 9(2), pages 73-100, April.
    2. Z. A. M. S. Juman & Salama A. Mostafa & A. P. Batuwita & Ali AlArjani & Md Sharif Uddin & Mustafa Musa Jaber & Teg Alam & El-Awady Attia, 2022. "Close Interval Approximation of Pentagonal Fuzzy Numbers for Interval Data-Based Transportation Problems," Sustainability, MDPI, vol. 14(12), pages 1-18, June.
    3. P. Senthil Kumar & R. Jahir Hussain, 2016. "A Simple Method for Solving Fully Intuitionistic Fuzzy Real Life Assignment Problem," International Journal of Operations Research and Information Systems (IJORIS), IGI Global, vol. 7(2), pages 39-61, April.

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