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Modeling of Decision-Making Based on Hesitant Fuzzy Sets

Author

Listed:
  • Muhammad Sarwar Sindhu

    (Department of Mathematics, Virtual University of Pakistan)

  • Muhammad Ahsan

    (Department of Mathematics, Virtual University of Pakistan)

  • Khalil Ahmad

    (Department of Physics, Virtual University of Pakistan)

  • Imran Ameen Khan

    (Department of Management Sciences, Virtual University of Pakistan)

Abstract

The hesitant fuzzy set (HFS) is successfully used as a fuzzy set (FS) extension to demonstrate circumstances where it is permissible to determine a few potential membership de- grees (MDs) of a component in a set due to the uncertainty between distinct values. Aggregation operators (AOs) are widely applied to accumulate vague and uncertain information these days. The hesitant fuzzy weighted aggregation geometric (HFWAG) operator is created by the authors as a new AO for hesitant fuzzy (HF) data. Some of the most important qualities of the suggested operators are highlighted, as well as their extensive interrelationship. Then, using those operators, we develop a methodology for interpreting the HF multiple criteria decision making (MCDM) hurdles. The proposed concepts are demonstrated using a real-life example related to medical di- agnosis, with the results’ believability tested using test criteria and compared. Because the weights of criteria can affect the outcome of a choice, they have a substantial impact on judgments. The De Luca-Termini entropy metric is utilized to estimate the weights of criteria in the current work. Moreover, TOPSIS and VIKOR were also employed to compare the results of our method.

Suggested Citation

  • Muhammad Sarwar Sindhu & Muhammad Ahsan & Khalil Ahmad & Imran Ameen Khan, 2024. "Modeling of Decision-Making Based on Hesitant Fuzzy Sets," Bulletin of Business and Economics (BBE), Research Foundation for Humanity (RFH), vol. 13(1), pages 720-729.
    • Handle: RePEc:rfh:bbejor:v:13:y:2024:i:1:p:720-729
    DOI: https://doi.org/10.61506/
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    References listed on IDEAS

    as
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    2. Bin Zhu & Zeshui Xu & Meimei Xia, 2012. "Dual Hesitant Fuzzy Sets," Journal of Applied Mathematics, Hindawi, vol. 2012, pages 1-13, May.
    3. Małgorzata Jasiulewicz-Kaczmarek & Katarzyna Antosz & Ryszard Wyczółkowski & Dariusz Mazurkiewicz & Bo Sun & Cheng Qian & Yi Ren, 2021. "Application of MICMAC, Fuzzy AHP, and Fuzzy TOPSIS for Evaluation of the Maintenance Factors Affecting Sustainable Manufacturing," Energies, MDPI, vol. 14(5), pages 1-30, March.
    4. M Sarwar Sindhu & Tabasam Rashid & Agha Kashif, 2019. "Modeling of linear programming and extended TOPSIS in decision making problem under the framework of picture fuzzy sets," PLOS ONE, Public Library of Science, vol. 14(8), pages 1-13, August.
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