Multiattribute Group Decision-Making Based on Linguistic Pythagorean Fuzzy Interaction Partitioned Bonferroni Mean Aggregation Operators
Joint Authors
Xu, Zeshui
Chen, Riqing
Lin, Mingwei
Wei, Jiuhan
Source
Issue
Vol. 2018, Issue 2018 (31 Dec. 2018), pp.1-24, 24 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2018-11-01
Country of Publication
Egypt
No. of Pages
24
Main Subjects
Abstract EN
The partitioned Bonferroni mean (PBM) operator can efficiently aggregate inputs, which are divided into parts based on their interrelationships.
To date, it has not been used to aggregate linguistic Pythagorean fuzzy numbers (LPFNs).
In this paper, we extend the PBM operator and partitioned geometric Bonferroni mean (PGBM) operator to the linguistic Pythagorean fuzzy sets (LPFSs) and use them to develop a novel multiattribute group decision-making model under the linguistic Pythagorean fuzzy environment.
We first define some novel operational laws for LPFNs, which take into consideration the interactions between the membership degree (MD) and nonmembership degree (NMD) from two different LPFNs.
Based on these novel operational laws, we put forward the interaction PBM (LPFIPBM) operator, the weighted interaction PBM (LPFWIPBM) operator, the interaction PGBM (LPFIPGBM) operator, and the weighted interaction PGBM (LPFWIPGBM) operator.
Then, we study some properties of these proposed operators and discuss their special cases.
Based on the proposed LPFWIPBM and LPFWIPGBM operators, a novel multiattribute group decision-making model is developed to process the linguistic Pythagorean fuzzy information.
Finally, some illustrative examples are introduced to compare our proposed methods with the existing ones.
American Psychological Association (APA)
Lin, Mingwei& Wei, Jiuhan& Xu, Zeshui& Chen, Riqing. 2018. Multiattribute Group Decision-Making Based on Linguistic Pythagorean Fuzzy Interaction Partitioned Bonferroni Mean Aggregation Operators. Complexity،Vol. 2018, no. 2018, pp.1-24.
https://search.emarefa.net/detail/BIM-1136798
Modern Language Association (MLA)
Lin, Mingwei…[et al.]. Multiattribute Group Decision-Making Based on Linguistic Pythagorean Fuzzy Interaction Partitioned Bonferroni Mean Aggregation Operators. Complexity No. 2018 (2018), pp.1-24.
https://search.emarefa.net/detail/BIM-1136798
American Medical Association (AMA)
Lin, Mingwei& Wei, Jiuhan& Xu, Zeshui& Chen, Riqing. Multiattribute Group Decision-Making Based on Linguistic Pythagorean Fuzzy Interaction Partitioned Bonferroni Mean Aggregation Operators. Complexity. 2018. Vol. 2018, no. 2018, pp.1-24.
https://search.emarefa.net/detail/BIM-1136798
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1136798