Linguistic Interval-Valued Intuitionistic Fuzzy Copula Heronian Mean Operators for Multiattribute Group Decision-Making
Joint Authors
Source
Issue
Vol. 2020, Issue 2020 (31 Dec. 2020), pp.1-25, 25 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2020-11-19
Country of Publication
Egypt
No. of Pages
25
Main Subjects
Abstract EN
As a generalization of the intuitionistic fuzzy number (IFN), the linguistic interval-valued intuitionistic fuzzy number (LIVIFN) is a flexible and superior tool to describe complex fuzzy uncertainty information.
Heronian mean (HM) operator has the characteristic of considering the relationship between attributes.
Extended copulas (ECs) and extended cocopulas (ECCs) are the promotion form of Archimedean t-norm and t-conorm (ATT).
ECs and ECCs can generate versatile operational rules and can provide more choice for decision makers (DMs).
Therefore, it is very necessary to take advantages of them.
In this paper, ECs and ECCs, some specifics of ECs and ECCs, and score and accuracy functions of IVILFNs are gained first.
Then, we propose the linguistic interval-valued intuitionistic fuzzy weighted copula Heronian mean (LIVIFWCHM) operator; also, some properties and five specific expressions of the LIVIFWCHM operator are discussed.
Moreover, we also propose a new MAGDM approach based on the proposed LIVIFWCHM operator.
Finally, a set of examples are used to demonstrate the effectiveness, generality, and flexibility of the proposed method.
American Psychological Association (APA)
Xu, Lei& Liu, Yi& Liu, Haobin. 2020. Linguistic Interval-Valued Intuitionistic Fuzzy Copula Heronian Mean Operators for Multiattribute Group Decision-Making. Journal of Mathematics،Vol. 2020, no. 2020, pp.1-25.
https://search.emarefa.net/detail/BIM-1188096
Modern Language Association (MLA)
Xu, Lei…[et al.]. Linguistic Interval-Valued Intuitionistic Fuzzy Copula Heronian Mean Operators for Multiattribute Group Decision-Making. Journal of Mathematics No. 2020 (2020), pp.1-25.
https://search.emarefa.net/detail/BIM-1188096
American Medical Association (AMA)
Xu, Lei& Liu, Yi& Liu, Haobin. Linguistic Interval-Valued Intuitionistic Fuzzy Copula Heronian Mean Operators for Multiattribute Group Decision-Making. Journal of Mathematics. 2020. Vol. 2020, no. 2020, pp.1-25.
https://search.emarefa.net/detail/BIM-1188096
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1188096