Multiple Attribute Decision-Making Based on Three-Parameter Generalized Weighted Heronian Mean
For the aggregation problem of attributes with a correlation relationship, it is often necessary to take the correlation factor into account in order to make the decision results more objective and reasonable. The Heronian mean is an aggregation operator which reflects the interaction between attrib...
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| Format: | Article |
| Language: | English |
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MDPI AG
2021-06-01
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| Series: | Mathematics |
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| Online Access: | https://www.mdpi.com/2227-7390/9/12/1363 |
| _version_ | 1797530407925710848 |
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| author | Ximei Hu Shuxia Yang Ya-Ru Zhu |
| author_facet | Ximei Hu Shuxia Yang Ya-Ru Zhu |
| author_sort | Ximei Hu |
| collection | DOAJ |
| description | For the aggregation problem of attributes with a correlation relationship, it is often necessary to take the correlation factor into account in order to make the decision results more objective and reasonable. The Heronian mean is an aggregation operator which reflects the interaction between attributes. It is of great theoretical and practical significance to study and popularize the multiple attribute decision-making methods based on the Heronian mean operator. In this paper, we first give a new three-parameter generalized weighted Heronian mean (TPGWHM), which has a series of excellent properties such as idempotency, monotonicity and boundedness. At the same time, the relationship between the TPGWHM and the existing aggregation operators is given. Then, we propose the intuitionistic fuzzy three-parameter generalized weighted Heronian mean (IFTPGWHM) and give its idempotency, monotonicity, boundedness and limit properties. On this basis, a multiple attribute decision-making method based on the TPGWHM and a multiple attribute decision-making method based on the IFTPGWHM are given, and corresponding examples are given and analyzed. |
| first_indexed | 2024-03-10T10:28:30Z |
| format | Article |
| id | doaj.art-a43c40cafc404894a030158157a92457 |
| institution | Directory Open Access Journal |
| issn | 2227-7390 |
| language | English |
| last_indexed | 2024-03-10T10:28:30Z |
| publishDate | 2021-06-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Mathematics |
| spelling | doaj.art-a43c40cafc404894a030158157a924572023-11-21T23:52:20ZengMDPI AGMathematics2227-73902021-06-01912136310.3390/math9121363Multiple Attribute Decision-Making Based on Three-Parameter Generalized Weighted Heronian MeanXimei Hu0Shuxia Yang1Ya-Ru Zhu2School of Economics and Management, North China Electric Power University, Beijing 102206, ChinaSchool of Economics and Management, North China Electric Power University, Beijing 102206, ChinaDepartment of Mathematics and Physics, North China Electric Power University, Baoding 071003, ChinaFor the aggregation problem of attributes with a correlation relationship, it is often necessary to take the correlation factor into account in order to make the decision results more objective and reasonable. The Heronian mean is an aggregation operator which reflects the interaction between attributes. It is of great theoretical and practical significance to study and popularize the multiple attribute decision-making methods based on the Heronian mean operator. In this paper, we first give a new three-parameter generalized weighted Heronian mean (TPGWHM), which has a series of excellent properties such as idempotency, monotonicity and boundedness. At the same time, the relationship between the TPGWHM and the existing aggregation operators is given. Then, we propose the intuitionistic fuzzy three-parameter generalized weighted Heronian mean (IFTPGWHM) and give its idempotency, monotonicity, boundedness and limit properties. On this basis, a multiple attribute decision-making method based on the TPGWHM and a multiple attribute decision-making method based on the IFTPGWHM are given, and corresponding examples are given and analyzed.https://www.mdpi.com/2227-7390/9/12/1363three-parameter generalized weighted Heronian meanintuitionistic fuzzy three-parameter generalized weighted Heronian meanmultiple attribute decision-making |
| spellingShingle | Ximei Hu Shuxia Yang Ya-Ru Zhu Multiple Attribute Decision-Making Based on Three-Parameter Generalized Weighted Heronian Mean Mathematics three-parameter generalized weighted Heronian mean intuitionistic fuzzy three-parameter generalized weighted Heronian mean multiple attribute decision-making |
| title | Multiple Attribute Decision-Making Based on Three-Parameter Generalized Weighted Heronian Mean |
| title_full | Multiple Attribute Decision-Making Based on Three-Parameter Generalized Weighted Heronian Mean |
| title_fullStr | Multiple Attribute Decision-Making Based on Three-Parameter Generalized Weighted Heronian Mean |
| title_full_unstemmed | Multiple Attribute Decision-Making Based on Three-Parameter Generalized Weighted Heronian Mean |
| title_short | Multiple Attribute Decision-Making Based on Three-Parameter Generalized Weighted Heronian Mean |
| title_sort | multiple attribute decision making based on three parameter generalized weighted heronian mean |
| topic | three-parameter generalized weighted Heronian mean intuitionistic fuzzy three-parameter generalized weighted Heronian mean multiple attribute decision-making |
| url | https://www.mdpi.com/2227-7390/9/12/1363 |
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