Some Generalized Pythagorean Fuzzy Bonferroni Mean Aggregation Operators with Their Application to Multiattribute Group Decision-Making
Joint Authors
Xia, Meimei
Zhang, Runtong
Wang, Jun
Zhu, Xiaomin
Yu, Ming
Source
Issue
Vol. 2017, Issue 2017 (31 Dec. 2017), pp.1-16, 16 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2017-08-01
Country of Publication
Egypt
No. of Pages
16
Main Subjects
Abstract EN
The Pythagorean fuzzy set as an extension of the intuitionistic fuzzy set characterized by membership and nonmembership degrees has been introduced recently.
Accordingly, the square sum of the membership and nonmembership degrees is a maximum of one.
The Pythagorean fuzzy set has been previously applied to multiattribute group decision-making.
This study develops a few aggregation operators for fusing the Pythagorean fuzzy information, and a novel approach to decision-making is introduced based on the proposed operators.
First, we extend the generalized Bonferroni mean to the Pythagorean fuzzy environment and introduce the generalized Pythagorean fuzzy Bonferroni mean and the generalized Pythagorean fuzzy Bonferroni geometric mean.
Second, a new generalization of the Bonferroni mean, namely, the dual generalized Bonferroni mean, is proposed by considering the shortcomings of the generalized Bonferroni mean.
Furthermore, we investigate the dual generalized Bonferroni mean in the Pythagorean fuzzy sets and introduce the dual generalized Pythagorean fuzzy Bonferroni mean and dual generalized Pythagorean fuzzy Bonferroni geometric mean.
Third, a novel approach to multiattribute group decision-making based on proposed operators is proposed.
Lastly, a numerical instance is provided to illustrate the validity of the new approach.
American Psychological Association (APA)
Zhang, Runtong& Wang, Jun& Zhu, Xiaomin& Xia, Meimei& Yu, Ming. 2017. Some Generalized Pythagorean Fuzzy Bonferroni Mean Aggregation Operators with Their Application to Multiattribute Group Decision-Making. Complexity،Vol. 2017, no. 2017, pp.1-16.
https://search.emarefa.net/detail/BIM-1143149
Modern Language Association (MLA)
Zhang, Runtong…[et al.]. Some Generalized Pythagorean Fuzzy Bonferroni Mean Aggregation Operators with Their Application to Multiattribute Group Decision-Making. Complexity No. 2017 (2017), pp.1-16.
https://search.emarefa.net/detail/BIM-1143149
American Medical Association (AMA)
Zhang, Runtong& Wang, Jun& Zhu, Xiaomin& Xia, Meimei& Yu, Ming. Some Generalized Pythagorean Fuzzy Bonferroni Mean Aggregation Operators with Their Application to Multiattribute Group Decision-Making. Complexity. 2017. Vol. 2017, no. 2017, pp.1-16.
https://search.emarefa.net/detail/BIM-1143149
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1143149