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Analytic Hierarchy Process for Hesitant Probabilistic Fuzzy Linguistic Set with Applications to Multi-criteria Group Decision-Making Method

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Abstract

The aim of this study is to propose a novel multi-criteria group decision-making method using analytic hierarchy process and hesitant probabilistic fuzzy linguistic set to model uncertainties due to both fuzziness and randomness. The proposed multi-criteria group decision-making method first uses analytic hierarchy process to construct decision preference matrix. Then, it uses hesitant probabilistic fuzzy linguistic set to model both types of uncertainties with hesitancy using both qualitative and quantitative terms. The proposed decision-making method is applied to determine the ranking of three Indian states for business climate and potential using real criteria information from State’s investment potential index. Since success or failure of real estate investment decisions depends on the assessment and management of the inherent risk and uncertainty, the proposed method is applied on a real estate investment problem and results are compared with a group consensus model for evaluating real estate investment alternatives.

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Acknowledgements

The authors are grateful to Referees for their constructive suggestions, which greatly helped us to improve the paper significantly. Research was supported by Council of Scientific & Industrial Research (Grant File No. 09/171/(0133)/2017-EMR-1) Government of India under the scheme of Joint CSIR-UGC NET (JRF) and gratefully acknowledged by first author.

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  1. Department of Mathematics, Statistics and Computer Science, G. B. Pant University of Agriculture and Technology, Pantnagar, Uttarakhand, 263145, India

    Akanksha Singh & Sanjay Kumar

  2. Centre for Mathematics and Statistical Sciences, Lahore School of Economics, Lahore, 53200, Pakistan

    Ismat Beg

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  1. Akanksha Singh
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Correspondence to Ismat Beg.

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Singh, A., Beg, I. & Kumar, S. Analytic Hierarchy Process for Hesitant Probabilistic Fuzzy Linguistic Set with Applications to Multi-criteria Group Decision-Making Method. Int. J. Fuzzy Syst. 22, 1596–1606 (2020). https://doi.org/10.1007/s40815-020-00874-1

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