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Interval-Valued Intuitionistic Hesitant Fuzzy Aggregation Operators and Their Application in Group Decision-Making
Author
Source
Journal of Applied Mathematics
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-33, 33 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-08-20
Country of Publication
Egypt
No. of Pages
33
Main Subjects
Abstract EN
Hesitant fuzzy sets, permitting the membership of an element to be a set of several possible values, can be used as an efficient mathematical tool for modelling people’s hesitancy in daily life.
In this paper, we extend the hesitant fuzzy set to interval-valued intuitionistic fuzzy environments and propose the concept of interval-valued intuitionistic hesitant fuzzy set, which allows the membership of an element to be a set of several possible interval-valued intuitionistic fuzzy numbers.
The aim of this paper is to develop a series of aggregation operators for interval-valued intuitionistic hesitant fuzzy information.
Then, some desired properties of the developed operators are studied, and the relationships among these operators are discussed.
Furthermore, we apply these aggregation operators to develop an approach to multiple attribute group decision-making with interval-valued intuitionistic hesitant fuzzy information.
Finally, a numerical example is provided to illustrate the application of the developed approach.
American Psychological Association (APA)
Zhang, Zhiming. 2013. Interval-Valued Intuitionistic Hesitant Fuzzy Aggregation Operators and Their Application in Group Decision-Making. Journal of Applied Mathematics،Vol. 2013, no. 2013, pp.1-33.
https://search.emarefa.net/detail/BIM-489090
Modern Language Association (MLA)
Zhang, Zhiming. Interval-Valued Intuitionistic Hesitant Fuzzy Aggregation Operators and Their Application in Group Decision-Making. Journal of Applied Mathematics No. 2013 (2013), pp.1-33.
https://search.emarefa.net/detail/BIM-489090
American Medical Association (AMA)
Zhang, Zhiming. Interval-Valued Intuitionistic Hesitant Fuzzy Aggregation Operators and Their Application in Group Decision-Making. Journal of Applied Mathematics. 2013. Vol. 2013, no. 2013, pp.1-33.
https://search.emarefa.net/detail/BIM-489090
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-489090