PROBABILITY-HESITANT FUZZY SETS AND THE REPRESENTATION OF PREFERENCE RELATIONS

Bin Zhu · Zeshui Xu

101 citations0/0 files storedTechnological and Economic Development of Economy

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Multi-Criteria Decision Making Rough Sets and Fuzzy Logic Fuzzy and Soft Set Theory

Abstract

Probability interpretations play an important role in understanding decision makers’ (DMs) behaviour in decision making. In this paper, we extend hesitant fuzzy sets to probability-hesitant fuzzy sets (P-HFSs) to enhance their modeling ability by taking DMs’ probabilistic preferences into consideration. Based on P-HFSs, we propose the concept of probability-hesitant fuzzy preference relation (P-HFPR) to collect the preferences. We then develop a consensus index to measure the consensus degrees of P-HFPR, and a stochastic method to improve the consensus degrees. All these results are essential for further research on P-HFSs.

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References

1965Fuzzy sets 2010Hesitant fuzzy sets 2010Hesitant fuzzy information aggregation in decision making 2009On hesitant fuzzy sets and decision 1978Decision-making with a fuzzy preference relation 2011Distance and similarity measures for hesitant fuzzy sets 2007A Consensus Model for Group Decision Making With Incomplete Fuzzy Preference Relations 2010Consensus models for AHP group decision making under row geometric mean prioritization method

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2020A novel decision-making method using R-Norm concept and VIKOR approach under picture fuzzy environment 2017Local feedback strategy for consensus building with probability-hesitant fuzzy preference relations 2019A robust correlation coefficient for probabilistic dual hesitant fuzzy sets and its applications 2019An overview on the applications of the hesitant fuzzy sets in group decision-making: Theory, support and methods 2020Decision making with probabilistic hesitant fuzzy information based on multiplicative consistency

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