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An improved TOPSIS method for multi-criteria decision making based on hesitant fuzzy β neighborhood

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Abstract

Multi-criteria Decision Making (MCDM) plays a very vital role in many application fields. There are many classical methods to solve the MCDM problems if the available information is crisp. However, the uncertainty and ambiguity inherent in the MCDM often makes these methods unsuitable for solving this kind of problem. Aims at the failures of TOPSIS method that can not rank the alternatives completely in a Hesitant Fuzzy β-Covering Approximation Space (HFβCAS), we develop an improved TOPSIS method. First, we define two pairs of hesitant fuzzy relationship based on hesitant fuzzy β-neighborhood, and construct the corresponding hesitant fuzzy covering rough set models; further we discuss the properties and relationships between the models. Second, we introduce a new comprehensive weight determination method by using the precision degree of hesitant fuzzy covering rough set and the maximizing deviation method. Third, we construct a γ-βCHF-TOPSIS method to MCDM which generalizes the TOPSIS method in an HFβCAS. Finally, two real decision-making problems are used to illustrate the concrete implementation process of γ-βCHF-TOPSIS method, and demonstrate its effectiveness and reasonability.

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Acknowledgements

This work is supported by the National Natural Science Foundation of China (62076088, 72101082) and the Natural Science Foundation of Hebei Province (F2021208011).

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Authors and Affiliations

  1. School of Mathematical Sciences, Hebei Normal University, Shijiazhuang, China

    Chenxia Jin & Jusheng Mi

  2. School of Economics and Management, Hebei University of Science and Technology, Shijiazhuang, China

    Chenxia Jin & Fachao Li

  3. Department of Mathematics and Physics, Shijiazhuang Tiedao University, Shijiazhuang, China

    Meishe Liang

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  1. Chenxia Jin
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Correspondence to Chenxia Jin or Jusheng Mi.

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Jin, C., Mi, J., Li, F. et al. An improved TOPSIS method for multi-criteria decision making based on hesitant fuzzy β neighborhood. Artif Intell Rev 56 (Suppl 1), 793–831 (2023). https://doi.org/10.1007/s10462-023-10510-7

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