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    ARTICLE

    Novel Distance Measures on Hesitant Fuzzy Sets Based on Equal-Probability Transformation and Their Application in Decision Making on Intersection Traffic Control

    Fangwei Zhang1,2, Yi Zhao3,*, Jun Ye4, Shuhong Wang5, Jingyi Hu6

    CMES-Computer Modeling in Engineering & Sciences, Vol.135, No.2, pp. 1589-1602, 2023, DOI:10.32604/cmes.2022.022431

    Abstract The purpose of this study is to reduce the uncertainty in the calculation process on hesitant fuzzy sets (HFSs). The innovation of this study is to unify the cardinal numbers of hesitant fuzzy elements (HFEs) in a special way. Firstly, a probability density function is assigned for any given HFE. Thereafter, equal-probability transformation is introduced to transform HFEs with different cardinal numbers on the condition into the same probability density function. The characteristic of this transformation is that the higher the consistency of the membership degrees in HFEs, the higher the credibility of the mentioned membership degrees is, then, the… More >

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