Probability-hesitant fuzzy sets and the representation of preference relations

    Bin Zhu Affiliation
    ; Zeshui Xu Affiliation


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.

Keyword : group decision making, fuzzy sets, preference relation, simulation

How to Cite
Zhu, B., & Xu, Z. (2018). Probability-hesitant fuzzy sets and the representation of preference relations. Technological and Economic Development of Economy, 24(3), 1029-1040.
May 18, 2018
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