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A novel approach for solving fully intuitionistic fuzzy transportation problem

Author

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  • Sujeet Kumar Singh
  • Shiv Prasad Yadav

Abstract

In general, fuzzy numbers are used to study the transportation problem. In this article, fully fuzzy transportation problem is extended to fully intuitionistic fuzzy transportation problem. We formulate the transportation problem in which costs, supplies and demands all are triangular intuitionistic fuzzy numbers. Intuitionistic fuzzy methods are proposed to find starting basic feasible solution in terms of triangular intuitionistic fuzzy numbers. Intuitionistic fuzzy modified distribution method is proposed to find optimal solution. Then the method is illustrated by a numerical example.

Suggested Citation

  • Sujeet Kumar Singh & Shiv Prasad Yadav, 2016. "A novel approach for solving fully intuitionistic fuzzy transportation problem," International Journal of Operational Research, Inderscience Enterprises Ltd, vol. 26(4), pages 460-472.
    • Handle: RePEc:ids:ijores:v:26:y:2016:i:4:p:460-472
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    Citations

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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. P. Senthil Kumar, 2018. "A Simple and Efficient Algorithm for Solving Type-1 Intuitionistic Fuzzy Solid Transportation Problems," International Journal of Operations Research and Information Systems (IJORIS), IGI Global, vol. 9(3), pages 90-122, July.
    3. Bogdana Stanojević & Milan Stanojević & Sorin Nădăban, 2021. "Reinstatement of the Extension Principle in Approaching Mathematical Programming with Fuzzy Numbers," Mathematics, MDPI, vol. 9(11), pages 1-16, June.
    4. Abdelmalek Ouannou & Adil Brouri & Laila Kadi & Hafid Oubouaddi, 2022. "Identification of switched reluctance machine using fuzzy model," International Journal of System Assurance Engineering and Management, Springer;The Society for Reliability, Engineering Quality and Operations Management (SREQOM),India, and Division of Operation and Maintenance, Lulea University of Technology, Sweden, vol. 13(6), pages 2833-2846, December.

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