Archimedean Copula-Based Hesitant Fuzzy Information Aggregation Operators for Multiple Attribute Decision Making
Joint Authors
Liu, Yi
Liu, Haobin
Wu, Ju
Mou, Lianming
Liu, Fang
Source
Mathematical Problems in Engineering
Issue
Vol. 2020, Issue 2020 (31 Dec. 2020), pp.1-21, 21 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2020-07-03
Country of Publication
Egypt
No. of Pages
21
Main Subjects
Abstract EN
In view of the good properties of copulas and their effective use in various fuzzy environments, the goal of the current study is to develop a series of aggregation operators for hesitant fuzzy information based on Archimedean copula and cocopula, which are applied to the MADM problems.
Firstly, operational laws of hesitant fuzzy elements on the basis of copulas and cocopulas are defined which can show the relevance between hesitant fuzzy values.
Secondly, four aggregation operators (AC-HFWA, AC-GHFWA, AC-HFWG, and AC-GHFWG) under hesitant fuzzy environment are developed according to the proposed operational laws.
The properties of these operators are also studied in detail, including idempotence, monotonicity, boundedness, etc.
Subsequently, five special cases of copula are also given and the special forms of aggregation operator are obtained.
In the end, an example is used to illustrate the application of the proposed approach in MADM problems.
The influences of different generated functions and parameters are shown, and the feasibility of the proposed method is validated through comparative analyses.
American Psychological Association (APA)
Wu, Ju& Mou, Lianming& Liu, Fang& Liu, Haobin& Liu, Yi. 2020. Archimedean Copula-Based Hesitant Fuzzy Information Aggregation Operators for Multiple Attribute Decision Making. Mathematical Problems in Engineering،Vol. 2020, no. 2020, pp.1-21.
https://search.emarefa.net/detail/BIM-1196662
Modern Language Association (MLA)
Wu, Ju…[et al.]. Archimedean Copula-Based Hesitant Fuzzy Information Aggregation Operators for Multiple Attribute Decision Making. Mathematical Problems in Engineering No. 2020 (2020), pp.1-21.
https://search.emarefa.net/detail/BIM-1196662
American Medical Association (AMA)
Wu, Ju& Mou, Lianming& Liu, Fang& Liu, Haobin& Liu, Yi. Archimedean Copula-Based Hesitant Fuzzy Information Aggregation Operators for Multiple Attribute Decision Making. Mathematical Problems in Engineering. 2020. Vol. 2020, no. 2020, pp.1-21.
https://search.emarefa.net/detail/BIM-1196662
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1196662