Pythagorean Fuzzy Interaction Partitioned Bonferroni Mean Operators and Their Application in Multiple-Attribute Decision-Making
The aim of this paper is to develop partitioned Pythagorean fuzzy interaction Bonferroni mean operators based on the Pythagorean fuzzy set, Bonferroni mean, and interaction between membership and nonmembership. Several new aggregation operators are developed including the Pythagorean fuzzy interacti...
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| Main Authors: | , , , , |
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| Format: | Article |
| Language: | English |
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Wiley
2018-01-01
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| Series: | Complexity |
| Online Access: | http://dx.doi.org/10.1155/2018/3606245 |
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| _version_ | 1849472993716076544 |
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| author | Wei Yang Jiarong Shi Yong Liu Yongfeng Pang Ruiyue Lin |
| author_facet | Wei Yang Jiarong Shi Yong Liu Yongfeng Pang Ruiyue Lin |
| author_sort | Wei Yang |
| collection | DOAJ |
| description | The aim of this paper is to develop partitioned Pythagorean fuzzy interaction Bonferroni mean operators based on the Pythagorean fuzzy set, Bonferroni mean, and interaction between membership and nonmembership. Several new aggregation operators are developed including the Pythagorean fuzzy interaction partitioned Bonferroni mean (PFIPBM) operator, the Pythagorean fuzzy weighted interaction partitioned Bonferroni mean (PFWIPBM) operator, the Pythagorean fuzzy interaction partitioned geometric Bonferroni mean (PFIPGBM) operator, and the Pythagorean fuzzy weighted interaction partitioned geometric Bonferroni mean (PFWIPGBM) operator. Some main properties and some special particular cases of the new operators are studied. Many existing operators are the special cases of new aggregation operators. Moreover, a multiple-attribute decision-making method based on the proposed operator has been developed and the investment company selection problem is presented to illustrate feasibility and practical advantages of the new method. |
| format | Article |
| id | doaj-art-dbd550140f3e42ccb067d5ebda8d933f |
| institution | Kabale University |
| issn | 1076-2787 1099-0526 |
| language | English |
| publishDate | 2018-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Complexity |
| spelling | doaj-art-dbd550140f3e42ccb067d5ebda8d933f2025-08-20T03:24:20ZengWileyComplexity1076-27871099-05262018-01-01201810.1155/2018/36062453606245Pythagorean Fuzzy Interaction Partitioned Bonferroni Mean Operators and Their Application in Multiple-Attribute Decision-MakingWei Yang0Jiarong Shi1Yong Liu2Yongfeng Pang3Ruiyue Lin4Department of Mathematics, School of Science, Xi’an University of Architecture and Technology, Xi’an, Shaanxi 710055, ChinaDepartment of Mathematics, School of Science, Xi’an University of Architecture and Technology, Xi’an, Shaanxi 710055, ChinaDepartment of Mathematics, School of Science, Xi’an University of Architecture and Technology, Xi’an, Shaanxi 710055, ChinaDepartment of Mathematics, School of Science, Xi’an University of Architecture and Technology, Xi’an, Shaanxi 710055, ChinaDepartment of Mathematics, Wenzhou University, Higher Education Zone, Wenzhou, Zhejiang 325035, ChinaThe aim of this paper is to develop partitioned Pythagorean fuzzy interaction Bonferroni mean operators based on the Pythagorean fuzzy set, Bonferroni mean, and interaction between membership and nonmembership. Several new aggregation operators are developed including the Pythagorean fuzzy interaction partitioned Bonferroni mean (PFIPBM) operator, the Pythagorean fuzzy weighted interaction partitioned Bonferroni mean (PFWIPBM) operator, the Pythagorean fuzzy interaction partitioned geometric Bonferroni mean (PFIPGBM) operator, and the Pythagorean fuzzy weighted interaction partitioned geometric Bonferroni mean (PFWIPGBM) operator. Some main properties and some special particular cases of the new operators are studied. Many existing operators are the special cases of new aggregation operators. Moreover, a multiple-attribute decision-making method based on the proposed operator has been developed and the investment company selection problem is presented to illustrate feasibility and practical advantages of the new method.http://dx.doi.org/10.1155/2018/3606245 |
| spellingShingle | Wei Yang Jiarong Shi Yong Liu Yongfeng Pang Ruiyue Lin Pythagorean Fuzzy Interaction Partitioned Bonferroni Mean Operators and Their Application in Multiple-Attribute Decision-Making Complexity |
| title | Pythagorean Fuzzy Interaction Partitioned Bonferroni Mean Operators and Their Application in Multiple-Attribute Decision-Making |
| title_full | Pythagorean Fuzzy Interaction Partitioned Bonferroni Mean Operators and Their Application in Multiple-Attribute Decision-Making |
| title_fullStr | Pythagorean Fuzzy Interaction Partitioned Bonferroni Mean Operators and Their Application in Multiple-Attribute Decision-Making |
| title_full_unstemmed | Pythagorean Fuzzy Interaction Partitioned Bonferroni Mean Operators and Their Application in Multiple-Attribute Decision-Making |
| title_short | Pythagorean Fuzzy Interaction Partitioned Bonferroni Mean Operators and Their Application in Multiple-Attribute Decision-Making |
| title_sort | pythagorean fuzzy interaction partitioned bonferroni mean operators and their application in multiple attribute decision making |
| url | http://dx.doi.org/10.1155/2018/3606245 |
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