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Correlation Measures of Dual Hesitant Fuzzy Sets
Joint Authors
Source
Journal of Applied Mathematics
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-12, 12 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-11-12
Country of Publication
Egypt
No. of Pages
12
Main Subjects
Abstract EN
The dual hesitant fuzzy sets (DHFSs) were proposed by Zhu et al.
(2012), which encompass fuzzy sets, intuitionistic fuzzy sets, hesitant fuzzy sets, and fuzzy multisets as special cases.
Correlation measures analysis is an important research topic.
In this paper, we define the correlation measures for dual hesitant fuzzy information and then discuss their properties in detail.
One numerical example is provided to illustrate these correlation measures.
Then we present a direct transfer algorithm with respect to the problem of complex operation of matrix synthesis when reconstructing an equivalent correlation matrix for clustering DHFSs.
Furthermore, we prove that the direct transfer algorithm is equivalent to transfer closure algorithm, but its asymptotic time complexity and space complexity are superior to the latter.
Another real world example, that is, diamond evaluation and classification, is employed to show the effectiveness of the association coefficient and the algorithm for clustering DHFSs.
American Psychological Association (APA)
Wang, Lei& Ni, Mingfang& Zhu, Lei. 2013. Correlation Measures of Dual Hesitant Fuzzy Sets. Journal of Applied Mathematics،Vol. 2013, no. 2013, pp.1-12.
https://search.emarefa.net/detail/BIM-483568
Modern Language Association (MLA)
Wang, Lei…[et al.]. Correlation Measures of Dual Hesitant Fuzzy Sets. Journal of Applied Mathematics No. 2013 (2013), pp.1-12.
https://search.emarefa.net/detail/BIM-483568
American Medical Association (AMA)
Wang, Lei& Ni, Mingfang& Zhu, Lei. Correlation Measures of Dual Hesitant Fuzzy Sets. Journal of Applied Mathematics. 2013. Vol. 2013, no. 2013, pp.1-12.
https://search.emarefa.net/detail/BIM-483568
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-483568