Dual Hesitant Fuzzy Sets
Joint Authors
Source
Journal of Applied Mathematics
Issue
Vol. 2012, Issue 2012 (31 Dec. 2012), pp.1-13, 13 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2012-05-10
Country of Publication
Egypt
No. of Pages
13
Main Subjects
Abstract EN
In recent decades, several types of sets, such as fuzzy sets, interval-valued fuzzy sets, intuitionistic fuzzy sets, interval-valued intuitionistic fuzzy sets, type 2 fuzzy sets, type n fuzzy sets, and hesitant fuzzy sets, have been introduced and investigated widely.
In this paper, we propose dual hesitant fuzzy sets (DHFSs), which encompass fuzzy sets, intuitionistic fuzzy sets, hesitant fuzzy sets, and fuzzy multisets as special cases.
Then we investigate the basic operations and properties of DHFSs.
We also discuss the relationships among the sets mentioned above, use a notion of nested interval to reflect their common ground, then propose an extension principle of DHFSs.
Additionally, we give an example to illustrate the application of DHFSs in group forecasting.
American Psychological Association (APA)
Zhu, Bin& Xu, Zeshui& Xia, Meimei. 2012. Dual Hesitant Fuzzy Sets. Journal of Applied Mathematics،Vol. 2012, no. 2012, pp.1-13.
https://search.emarefa.net/detail/BIM-993800
Modern Language Association (MLA)
Zhu, Bin…[et al.]. Dual Hesitant Fuzzy Sets. Journal of Applied Mathematics No. 2012 (2012), pp.1-13.
https://search.emarefa.net/detail/BIM-993800
American Medical Association (AMA)
Zhu, Bin& Xu, Zeshui& Xia, Meimei. Dual Hesitant Fuzzy Sets. Journal of Applied Mathematics. 2012. Vol. 2012, no. 2012, pp.1-13.
https://search.emarefa.net/detail/BIM-993800
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-993800
