Hesitant Fuzzy Soft Set and Its Applications in Multicriteria Decision Making
Joint Authors
Wang, Fuqiang
Li, Xihua
Chen, Xiaohong
Source
Journal of Applied Mathematics
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-10, 10 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-07-03
Country of Publication
Egypt
No. of Pages
10
Main Subjects
Abstract EN
Molodtsov’s soft set theory is a newly emerging mathematical tool to handle uncertainty.
However, the classical soft sets are not appropriate to deal with imprecise and fuzzy parameters.
This paper aims to extend the classical soft sets to hesitant fuzzy soft sets which are combined by the soft sets and hesitant fuzzy sets.
Then, the complement, “AND”, “OR”, union and intersection operations are defined on hesitant fuzzy soft sets.
The basic properties such as DeMorgan’s laws and the relevant laws of hesitant fuzzy soft sets are proved.
Finally, with the help of level soft set, the hesitant fuzzy soft sets are applied to a decision making problem and the effectiveness is proved by a numerical example.
American Psychological Association (APA)
Wang, Fuqiang& Li, Xihua& Chen, Xiaohong. 2014. Hesitant Fuzzy Soft Set and Its Applications in Multicriteria Decision Making. Journal of Applied Mathematics،Vol. 2014, no. 2014, pp.1-10.
https://search.emarefa.net/detail/BIM-487711
Modern Language Association (MLA)
Wang, Fuqiang…[et al.]. Hesitant Fuzzy Soft Set and Its Applications in Multicriteria Decision Making. Journal of Applied Mathematics No. 2014 (2014), pp.1-10.
https://search.emarefa.net/detail/BIM-487711
American Medical Association (AMA)
Wang, Fuqiang& Li, Xihua& Chen, Xiaohong. Hesitant Fuzzy Soft Set and Its Applications in Multicriteria Decision Making. Journal of Applied Mathematics. 2014. Vol. 2014, no. 2014, pp.1-10.
https://search.emarefa.net/detail/BIM-487711
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-487711