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New operations over hesitant fuzzy sets

Author

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  • Rajkumar Verma

    (Jaypee Institute of Information Technology)

  • Bhu Dev Sharma

    (Jaypee Institute of Information Technology)

Abstract

Hesitant fuzzy sets are considered to be the way to characterize vague phenomenon. Their study has opened a new area of research and applications. Set operations on them lead to a number of properties of these sets which are not evident in classical (crisp) sets make the area mathematically also very productive. Since these sets are defined in terms of functions and set of functions, which is not the case when the sets are crisp, it is possible to define several set operations. Such a study enriches the use of these sets. In this paper, four new operations are envisaged, defined and taken up to study a score of new identities on hesitant fuzzy sets.

Suggested Citation

  • Rajkumar Verma & Bhu Dev Sharma, 2013. "New operations over hesitant fuzzy sets," Fuzzy Information and Engineering, Springer, vol. 5(2), pages 129-146, June.
    • Handle: RePEc:spr:fuzinf:v:5:y:2013:i:2:d:10.1007_s12543-013-0137-1
    DOI: 10.1007/s12543-013-0137-1
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    References listed on IDEAS

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    1. Meimei Xia & Zeshui Xu & Na Chen, 2013. "Some Hesitant Fuzzy Aggregation Operators with Their Application in Group Decision Making," Group Decision and Negotiation, Springer, vol. 22(2), pages 259-279, March.
    2. Liu, Hua-Wen & Wang, Guo-Jun, 2007. "Multi-criteria decision-making methods based on intuitionistic fuzzy sets," European Journal of Operational Research, Elsevier, vol. 179(1), pages 220-233, May.
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    Cited by:

    1. Palash Dutta & Rupjit Saikia, 2020. "A Decision-making Approach for Choosing a Reliable Product under the Hesitant Fuzzy Environment via a Novel Distance Measure," Vikalpa: The Journal for Decision Makers, , vol. 45(3), pages 147-159, September.

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