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Intuitionistic fuzzy transportation problem with various kinds of uncertainties in parameters and variables

Author

Listed:
  • Sujeet Kumar Singh

    (Indian Institute of Technology Roorkee)

  • Shiv Prasad Yadav

    (Indian Institute of Technology Roorkee)

Abstract

In real-life decisions usually we have to suffer through different states of uncertainties. In this article, we formulate a transportation problem in which costs, supplies and demands all are different types of real, fuzzy or intuitionistic fuzzy numbers that is the data has different types of uncertainties. We propose a ranking procedure for intuitionistic fuzzy numbers. Using the proposed ranking function intuitionistic fuzzy methods are proposed to find starting basic feasible solution in terms of trapezoidal intuitionistic fuzzy numbers. Intuitionistic fuzzy modified distribution method is proposed to find optimal solution. We illustrate the methodology by numerical examples.

Suggested Citation

  • Sujeet Kumar Singh & Shiv Prasad Yadav, 2016. "Intuitionistic fuzzy transportation problem with various kinds of uncertainties in parameters and variables," 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. 7(3), pages 262-272, September.
    • Handle: RePEc:spr:ijsaem:v:7:y:2016:i:3:d:10.1007_s13198-016-0456-9
    DOI: 10.1007/s13198-016-0456-9
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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. Mohit Kumar & Shiv Prasad Yadav & Surendra Kumar, 2011. "A new approach for analysing the fuzzy system reliability using intuitionistic fuzzy number," International Journal of Industrial and Systems Engineering, Inderscience Enterprises Ltd, vol. 8(2), pages 135-156.
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    Cited by:

    1. P. Senthil Kumar, 2020. "Algorithms for solving the optimization problems using fuzzy and intuitionistic fuzzy set," 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. 11(1), pages 189-222, February.
    2. 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.

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