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Series of novel score functions for Hesitant Bifuzzy set and its application in transportation problem

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  • Soniya Gupta

    (DIT University Dehradun)

  • Dheeraj Kumar Joshi

    (DIT University Dehradun)

Abstract

Uncertainty minimization is an important feature of any decision-making and transportation problem. Uncertainty and imprecisions in day-to-day life is very well tackled by decision making methods. A number of studies has been done to modelling uncertainty for fuzzy, intuitionistic fuzzy and hesitant fuzzy information. The existing methods of uncertainty modelling have some important shortcomings and limitations. To deal with these limitations, we have adopted the notion of hesitant bifuzzy set (HBFS), as an extension dual hesitant fuzzy set for its ability to deal with uncertainty and ambiguity without any restrictions. In this article we have developed a series of novel score functions for hesitant bifuzzy elements and HBFS. We have also developed a model for hesitant bifuzzy transportation problem to show the applicability of developed score function. Generalized hesitant bi-fuzzy modified distribution method has also been developed to find the optimal solution of defined hesitant bifuzzy transportation problem. To illustrate the developed method, an illustrative example of COVID-19 Vaccine transportation problem is taken. A sensitive analysis has also been conducted to distinguish different cost through different score functions. To show the outperformance of developed method, a comparative study has been carried out with the pre-existing methods.

Suggested Citation

  • Soniya Gupta & Dheeraj Kumar Joshi, 2025. "Series of novel score functions for Hesitant Bifuzzy set and its application in transportation problem," 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. 16(8), pages 2785-2799, August.
    • Handle: RePEc:spr:ijsaem:v:16:y:2025:i:8:d:10.1007_s13198-025-02840-2
    DOI: 10.1007/s13198-025-02840-2
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    References listed on IDEAS

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    1. Bin Zhu & Zeshui Xu & Meimei Xia, 2012. "Dual Hesitant Fuzzy Sets," Journal of Applied Mathematics, Hindawi, vol. 2012, pages 1-13, May.
    2. Cejun Cao & Juan Li & Ju Liu & Jiahui Liu & Hanguang Qiu & Jie Zhen, 2024. "Sustainable development-oriented location-transportation integrated optimization problem regarding multi-period multi-type disaster medical waste during COVID-19 pandemic," Annals of Operations Research, Springer, vol. 335(3), pages 1401-1447, April.
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    4. Gupta, Soniya & Joshi, Dheeraj Kumar & Awasthi, Natasha & Pant, Manish & Joshi, Bhagawati prasad & Chaube, Shshank, 2024. "Distance and similarity measures of Hesitant bi-fuzzy set and its applications in renewable energy systems," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 219(C), pages 321-336.
    5. Anshika Agrawal & Neha Singhal, 2024. "An efficient computational approach for basic feasible solution of fuzzy transportation problems," 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(7), pages 3337-3349, July.
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    8. Chaube, Shshank & Joshi, Dheeraj Kumar & Ujarari, Chandan Singh, 2023. "Hesitant Bifuzzy Set (an introduction): A new approach to assess the reliability of the systems," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 205(C), pages 98-107.
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