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An approach for solving fully generalized intuitionistic fuzzy transportation problems

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Abstract

In this paper, we study the transportation problem defined as generalized triangular intuitionistic fuzzy transportation problem (GTIFTP). To handle the above-defined transportation problem, we propose a new criteria for ordering generalized triangular intuitionistic fuzzy numbers (GTIFNs). We define this ordering on index of optimism-based expected value of GTIFN, which can also be used to deal with various other optimization problems. We discuss limitations of some of the existing ranking approaches for intuitionistic fuzzy numbers. Further, we discuss the reasonable properties of this ordering method. We also suggest a new algorithm to solve GTIFTPs, which is numerically efficient and involves less complex calculations than the existing methods. To illustrate our proposed approach and to make it more understandable, we solve three numerical examples with parameters in different combinations of GTIFNs, triangular intuitionistic fuzzy numbers and crisp numbers. Comparative analysis of this method is also done with some existing methods and we finally draw some conclusions.

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Data availability

The datasets generated and/or analyzed during the current study are included in this article. And if more information is needed, it is available from the corresponding author on reasonable request.

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Acknowledgements

Monika Bisht and Shivam Rawat would like to thank the CSIR-HRDG Fund, under grant EMR-09/386(0065)/2020-EMR-1 and EMR-09/386(0064)/2019-EMR-1, respectively, for financial support.

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Authors and Affiliations

  1. Department of Mathematics and Statistical Sciences, Lahore School of Economics, Lahore, 53200, Pakistan

    Ismat Beg

  2. Department of Mathematics, H.N.B. Garhwal University, BGR Campus, Pauri Garhwal, Uttarakhand, 246001, India

    Monika Bisht

  3. Department of Mathematics, Graphic Era Hill University, Dehradun Campus, Dehradun, Uttarakhand, 248001, India

    Monika Bisht

  4. Department of Mathematics, Graphic Era Deemed to be University, Dehradun, Uttarakhand, 248002, India

    Shivam Rawat

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  1. Ismat Beg
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Correspondence to Monika Bisht.

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Beg, I., Bisht, M. & Rawat, S. An approach for solving fully generalized intuitionistic fuzzy transportation problems. Comp. Appl. Math. 42, 329 (2023). https://doi.org/10.1007/s40314-023-02467-8

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