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The DOI matches its Crossref record; 26 of the 26 references it cites were found in a registry or an index.

On distance and correlation measures of hesitant fuzzy information

Xu, Zeshui, Xia, Meimei·2011·International Journal of Intelligent Systems

Abstract

A hesitant fuzzy set, allowing the membership of an element to be a set of several possible values, is very useful to express people's hesitancy in daily life. In this paper, we define the distance and correlation measures for hesitant fuzzy information and then discuss their properties in detail. These measures are all defined under the assumption that the values in all hesitant fuzzy elements (the fundamental units of hesitant fuzzy sets) are arranged in an increasing order and two hesitant fuzzy elements have the same length when we compare them. We can find that the results, by using the developed distance measures, are the smallest ones among those when the values in two hesitant fuzzy elements are arranged in any permutations. In addition, the derived correlation coefficients are based on different linear relationships and may have different results. © 2011 Wiley Periodicals, Inc.

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Metadata

Authors
Xu, Z., & Xia, M.
Venue
International Journal of Intelligent Systems
Published
2011-03-17
Volume
26
Issue
5
Pages
410-425
ISSN
0884-8173 (ISSN-L)
OpenAlex
W1991419869
Cited by
485
References
26
FWCI
48.99
Type
journal article
Language
en
Open access
closed

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