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Solution of fuzzy transportation problem based upon pentagonal and hexagonal fuzzy numbers

Author

Listed:
  • Divya Sharma

    (Amity University
    Jaypee Institute of Information Technology)

  • Dinesh C. S. Bisht

    (Jaypee Institute of Information Technology)

  • Pankaj Kumar Srivastava

    (Jaypee Institute of Information Technology)

Abstract

The given study focuses on a novel approach to handle the pentagonal and hexagonal fuzzy transportation problems. The parameters of a transportation problem have been fuzzified into pentagonal and hexagonal fuzzy numbers. The study’s innovation resides in its proposal of two distinct defuzzification methods to transform pentagonal and hexagonal fuzzy numbers into deterministic form, both of which are based on the centroid approach. The classical Vogel’s approximation method and Modified distribution methods are used to obtain the initial feasible and optimal solution of the above-stated problems. A numerical illustration is given to prove the efficiency of the proposed algorithm. A comparison of the suggested technique has been made with the existing methods. Also, the results obtained using pentagonal and hexagonal fuzzy numbers are compared.

Suggested Citation

  • Divya Sharma & Dinesh C. S. Bisht & Pankaj Kumar Srivastava, 2024. "Solution of fuzzy transportation problem based upon pentagonal and hexagonal fuzzy numbers," 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. 15(9), pages 4348-4354, September.
    • Handle: RePEc:spr:ijsaem:v:15:y:2024:i:9:d:10.1007_s13198-024-02426-4
    DOI: 10.1007/s13198-024-02426-4
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    References listed on IDEAS

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    1. R. E. Bellman & L. A. Zadeh, 1970. "Decision-Making in a Fuzzy Environment," Management Science, INFORMS, vol. 17(4), pages 141-164, December.
    2. Dipankar Chakraborty & Dipak Kumar Jana & Tapan Kumar Roy, 2016. "A new approach to solve fully fuzzy transportation problem using triangular fuzzy number," International Journal of Operational Research, Inderscience Enterprises Ltd, vol. 26(2), pages 153-179.
    3. Ali Ebrahimnejad & Jose Luis Verdegay, 2018. "A new approach for solving fully intuitionistic fuzzy transportation problems," Fuzzy Optimization and Decision Making, Springer, vol. 17(4), pages 447-474, December.
    4. Sujeet Kumar Singh & Shiv Prasad Yadav, 2016. "A new approach for solving intuitionistic fuzzy transportation problem of type-2," Annals of Operations Research, Springer, vol. 243(1), pages 349-363, August.
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