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Xia, Meimei; Xu, Zeshui

Hesitant fuzzy information aggregation in decision making. (English) Zbl 1217.68216

Int. J. Approx. Reasoning 52, No. 3, 395-407 (2011).
Summary: As a generalization of fuzzy set, hesitant fuzzy set is a very useful tool in situations where there are some difficulties in determining the membership of an element to a set caused by a doubt between a few different values. The aim of this paper is to develop a series of aggregation operators for hesitant fuzzy information. We first discuss the relationship between intuitionistic fuzzy set and hesitant fuzzy set, based on which we develop some operations and aggregation operators for hesitant fuzzy elements. The correlations among the aggregation operators are further discussed. Finally, we give their application in solving decision making problems.

Cited in 1 Review
Cited in 219 Documents

MSC:

68T37 Reasoning under uncertainty in the context of artificial intelligence

Keywords:

fuzzy sets; decision making; hesitant fuzzy set; intuitionistic fuzzy set; aggregation operator
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\textit{M. Xia} and \textit{Z. Xu}, Int. J. Approx. Reasoning 52, No. 3, 395--407 (2011; Zbl 1217.68216)
Full Text: DOI

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