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Hesitant fuzzy soft topology and its applications to multi-attribute group decision-making

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Abstract

The purpose of this research study is to extend the multi-attribute group decision-making (MAGDM) methods to hesitant fuzzy soft set (HFS-set), hesitant fuzzy soft topology (HFS-topology) and HFS-Hausdorff spaces in group decision-making environment, as HFS-set is more superior tool to capture vagueness, hesitancy and incompleteness in individual evaluations. In order to obtain optimal decisions in MAGDM, we present two algorithms based on hesitant fuzzy soft set and hesitant fuzzy soft topology. Lastly, we present MAGDM method by using HFS-Hausdorff space to deal with hesitancy and uncertainty. The developed methods have the ability to solve MADGM problems in which the assessment information on available alternatives, provided by the experts, is presented by hesitant fuzzy soft sets. Furthermore, the efficiency of proposed algorithms is shown by applying them to the real-world problems. We use reduct, optimum reduct, aggregate HFS-sets and weight vector according of given alternatives, priority of the attributes and customer demand for best MAGDM in the selection of car.

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Acknowledgements

We would like to thank the editor in chief, associate editor and anonymous reviewers for their insightful and constructive comments and suggestions that have been helpful for providing a better version of the present work.

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Authors and Affiliations

  1. Department of Mathematics, University of the Punjab, Lahore, Pakistan

    Muhammad Riaz, Atiqa Fakhar & Atiqa Firdous

  2. Department of Mathematics, Yazd University, Yazd, Iran

    Bijan Davvaz

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  1. Muhammad Riaz
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Correspondence to Muhammad Riaz.

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Riaz, M., Davvaz, B., Fakhar, A. et al. Hesitant fuzzy soft topology and its applications to multi-attribute group decision-making. Soft Comput 24, 16269–16289 (2020). https://doi.org/10.1007/s00500-020-04938-0

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