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An extended hybrid decision-making method under Fermatean hesitant fuzzy set based on regret theory

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Abstract

In reality, decision-making is usually influenced by vague evaluation information and irrational psychology behavior of decision-makers. To solve the multi-attribute decision-making problem with completely unknown weight vague information, an extended hybrid decision-making method is proposed under the Fermatean hesitant fuzzy environment. Firstly, the weight information is determined from two levels of alternative and attribute based on the score function and entropy value. Secondly, the dominance matrix is constructed according to the dominance of each alternative obtained by the TODIM method. Then, the regret theory is introduced to compute the perception values, which is the factor to rank the alternatives by the VIKOR method. Afterwards, an illustrative example is provided to prove the effectiveness and validity of the proposed hybrid method. By sensitivity analysis and comparative analysis, this method is shown to be more advantageous in considering the regret psychological characteristics of the DM.

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Acknowledgements

The authors would like to thank the anonymous reviewers and editors for their insightful and constructive comments on our paper. This work was supported in part by the Doctoral Project of Chongqing Federation of Social Science Circles (2022NDQN39), the Humanities and Social Sciences Research General Project of Chongqing Education Commission (22SKJD076), Open Topic of Center for International Cooperation and Innovation Development of Digital Economy (P2022-37), Chongqing Educational Science Planning Key Project (K22YD206077), Chongqing Technology Innovation and Application Development Project (2022TIAD-GPX0072).

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Authors and Affiliations

  1. School of Modern Posts, Chongqing University of Posts and Telecommunications, Chongqing, 400065, People’s Republic of China

    Nian Zhang, Yifan Zhou & Jin Liu

  2. Chongqing Municipal Education Commission Digital Economy Innovation and Industrial Development Research Team, Chongqing, 400065, People’s Republic of China

    Nian Zhang

  3. School of Business, Sichuan Normal University, Chengdu, 610101, People’s Republic of China

    Guiwu Wei

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  1. Nian Zhang
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  2. Yifan Zhou
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  3. Jin Liu
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  4. Guiwu Wei
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Correspondence to Nian Zhang.

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The manuscript has not been published before and is not being considered for publication elsewhere. All authors have contributed to the creation of this manuscript for important intellectual content and read and approved the final manuscript. We declare there is no conflict of interest.

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Zhang, N., Zhou, Y., Liu, J. et al. An extended hybrid decision-making method under Fermatean hesitant fuzzy set based on regret theory. J Ambient Intell Human Comput 14, 16961–16971 (2023). https://doi.org/10.1007/s12652-023-04710-w

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  • DOI: https://doi.org/10.1007/s12652-023-04710-w

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