Multicriteria Decision-Making Approach with Hesitant Interval-Valued Intuitionistic Fuzzy Sets
Joint Authors
Wang, Jing
Chen, Xiao-hong
Peng, Juan-juan
Wang, Jian-qiang
Source
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-22, 22 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-03-27
Country of Publication
Egypt
No. of Pages
22
Main Subjects
Medicine
Information Technology and Computer Science
Abstract EN
The definition of hesitant interval-valued intuitionistic fuzzy sets (HIVIFSs) is developed based on interval-valued intuitionistic fuzzy sets (IVIFSs) and hesitant fuzzy sets (HFSs).
Then, some operations on HIVIFSs are introduced in detail, and their properties are further discussed.
In addition, some hesitant interval-valued intuitionistic fuzzy number aggregation operators based on t-conorms and t-norms are proposed, which can be used to aggregate decision-makers' information in multicriteria decision-making (MCDM) problems.
Some valuable proposals of these operators are studied.
In particular, based on algebraic and Einstein t-conorms and t-norms, some hesitant interval-valued intuitionistic fuzzy algebraic aggregation operators and Einstein aggregation operators can be obtained, respectively.
Furthermore, an approach of MCDM problems based on the proposed aggregation operators is given using hesitant interval-valued intuitionistic fuzzy information.
Finally, an illustrative example is provided to demonstrate the applicability and effectiveness of the developed approach, and the study is supported by a sensitivity analysis and a comparison analysis.
American Psychological Association (APA)
Peng, Juan-juan& Wang, Jian-qiang& Wang, Jing& Chen, Xiao-hong. 2014. Multicriteria Decision-Making Approach with Hesitant Interval-Valued Intuitionistic Fuzzy Sets. The Scientific World Journal،Vol. 2014, no. 2014, pp.1-22.
https://search.emarefa.net/detail/BIM-1051414
Modern Language Association (MLA)
Peng, Juan-juan…[et al.]. Multicriteria Decision-Making Approach with Hesitant Interval-Valued Intuitionistic Fuzzy Sets. The Scientific World Journal No. 2014 (2014), pp.1-22.
https://search.emarefa.net/detail/BIM-1051414
American Medical Association (AMA)
Peng, Juan-juan& Wang, Jian-qiang& Wang, Jing& Chen, Xiao-hong. Multicriteria Decision-Making Approach with Hesitant Interval-Valued Intuitionistic Fuzzy Sets. The Scientific World Journal. 2014. Vol. 2014, no. 2014, pp.1-22.
https://search.emarefa.net/detail/BIM-1051414
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1051414