Hesitant fuzzy information aggregation in decision making

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...

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Bibliographic Details
Published in:International journal of approximate reasoning Vol. 52; no. 3; pp. 395 - 407
Main Authors: Xia, Meimei, Xu, Zeshui
Format: Journal Article
Language:English
Published: Amsterdam Elsevier Inc 01.03.2011
Elsevier
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ISSN:0888-613X, 1873-4731
Online Access:Get full text
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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 intutionistic 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.
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ISSN:0888-613X
1873-4731
DOI:10.1016/j.ijar.2010.09.002