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Some studies on properties of hesitant fuzzy sets

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Abstract

Due to the advantages in dealing with fuzziness and uncertainty, hesitant fuzzy sets have attracted many attentions of researchers. To enlarge the range of their application, it is necessary to give an intensive study about the basic operations and properties of hesitant fuzzy sets. Based on Archimedean t-norm and t-conorm, some operations about hesitant fuzzy sets are introduced, and the properties and correlations of them are also investigated. The developed operations can be considered as the extension of the existing ones and can lay a foundation for further research and application of hesitant fuzzy theory.

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Acknowledgments

The authors are very grateful to the anonymous reviewers for their constructive comments and suggestions that have led to an improved version of this paper. The work was supported in part by the National Natural Science Foundation of China (Nos. 61273209 and 71390334), the Ministry of Education Foundation of Humanities and Social Sciences (No. 13YJC630185), and the Research Foundation for Talents in Beijing Jiaotong University (No. 2014RC007).

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Authors and Affiliations

  1. School of Economics and Management, Beijing Jiaotong University, Beijing, 100044, China

    Meimei Xia

  2. Business School, Sichuan University, Chengdu, 610064, Sichuan, China

    Zeshui Xu

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  1. Meimei Xia
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  2. Zeshui Xu
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Correspondence to Zeshui Xu.

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Xia, M., Xu, Z. Some studies on properties of hesitant fuzzy sets. Int. J. Mach. Learn. & Cyber. 8, 489–495 (2017). https://doi.org/10.1007/s13042-015-0340-y

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