Research on Hybrid Multi-Attribute Three-Way Group Decision Making Based on Improved VIKOR Model
In the era of internet connection and IOT, data-driven decision-making has become a new trend of decision-making and shows the characteristics of multi-granularity. Because three-way decision-making considers the uncertainty of decision-making for complex problems and the cost sensitivity of classif...
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| Format: | Article |
| Language: | English |
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MDPI AG
2022-08-01
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| Series: | Mathematics |
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| Online Access: | https://www.mdpi.com/2227-7390/10/15/2783 |
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| author | Jiekun Song Zeguo He Lina Jiang Zhicheng Liu Xueli Leng |
| author_facet | Jiekun Song Zeguo He Lina Jiang Zhicheng Liu Xueli Leng |
| author_sort | Jiekun Song |
| collection | DOAJ |
| description | In the era of internet connection and IOT, data-driven decision-making has become a new trend of decision-making and shows the characteristics of multi-granularity. Because three-way decision-making considers the uncertainty of decision-making for complex problems and the cost sensitivity of classification, it is becoming an important branch of modern decision-making. In practice, decision-making problems usually have the characteristics of hybrid multi-attributes, which can be expressed in the forms of real numbers, interval numbers, fuzzy numbers, intuitionistic fuzzy numbers and interval-valued intuitionistic fuzzy numbers (IVIFNs). Since other forms can be regarded as special forms of IVIFNs, transforming all forms into IVIFNs can minimize information distortion and effectively set expert weights and attribute weights. We propose a hybrid multi-attribute three-way group decision-making method and give detailed steps. Firstly, we transform all attribute values of each expert into IVIFNs. Secondly, we determine expert weights based on interval-valued intuitionistic fuzzy entropy and cross-entropy and use interval-valued intuitionistic fuzzy weighted average operator to obtain a group comprehensive evaluation matrix. Thirdly, we determine the weights of each attribute based on interval-valued intuitionistic fuzzy entropy and use the VIKOR method improved by grey correlation analysis to determine the conditional probability. Fourthly, based on the risk loss matrix expressed by IVIFNs, we use the optimization method to determine the decision threshold and give the classification rules of the three-way decisions. Finally, an example verifies the feasibility of the hybrid multi-attribute three-way group decision-making method, which provides a systematic and standard solution for this kind of decision-making problem. |
| first_indexed | 2024-03-09T05:11:51Z |
| format | Article |
| id | doaj.art-467219dbd7e24baa822f5efc9085975c |
| institution | Directory Open Access Journal |
| issn | 2227-7390 |
| language | English |
| last_indexed | 2024-03-09T05:11:51Z |
| publishDate | 2022-08-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Mathematics |
| spelling | doaj.art-467219dbd7e24baa822f5efc9085975c2023-12-03T12:48:35ZengMDPI AGMathematics2227-73902022-08-011015278310.3390/math10152783Research on Hybrid Multi-Attribute Three-Way Group Decision Making Based on Improved VIKOR ModelJiekun Song0Zeguo He1Lina Jiang2Zhicheng Liu3Xueli Leng4School of Economics and Management, China University of Petroleum, Qingdao 266580, ChinaSchool of Economics and Management, China University of Petroleum, Qingdao 266580, ChinaSchool of Economics and Management, China University of Petroleum, Qingdao 266580, ChinaSchool of Economics and Management, China University of Petroleum, Qingdao 266580, ChinaSchool of Economics and Management, China University of Petroleum, Qingdao 266580, ChinaIn the era of internet connection and IOT, data-driven decision-making has become a new trend of decision-making and shows the characteristics of multi-granularity. Because three-way decision-making considers the uncertainty of decision-making for complex problems and the cost sensitivity of classification, it is becoming an important branch of modern decision-making. In practice, decision-making problems usually have the characteristics of hybrid multi-attributes, which can be expressed in the forms of real numbers, interval numbers, fuzzy numbers, intuitionistic fuzzy numbers and interval-valued intuitionistic fuzzy numbers (IVIFNs). Since other forms can be regarded as special forms of IVIFNs, transforming all forms into IVIFNs can minimize information distortion and effectively set expert weights and attribute weights. We propose a hybrid multi-attribute three-way group decision-making method and give detailed steps. Firstly, we transform all attribute values of each expert into IVIFNs. Secondly, we determine expert weights based on interval-valued intuitionistic fuzzy entropy and cross-entropy and use interval-valued intuitionistic fuzzy weighted average operator to obtain a group comprehensive evaluation matrix. Thirdly, we determine the weights of each attribute based on interval-valued intuitionistic fuzzy entropy and use the VIKOR method improved by grey correlation analysis to determine the conditional probability. Fourthly, based on the risk loss matrix expressed by IVIFNs, we use the optimization method to determine the decision threshold and give the classification rules of the three-way decisions. Finally, an example verifies the feasibility of the hybrid multi-attribute three-way group decision-making method, which provides a systematic and standard solution for this kind of decision-making problem.https://www.mdpi.com/2227-7390/10/15/2783hybrid multi-attributethree-way group decision makingVIKOR modelgrey correlation analysisinterval-valued intuitionistic fuzzy numbers |
| spellingShingle | Jiekun Song Zeguo He Lina Jiang Zhicheng Liu Xueli Leng Research on Hybrid Multi-Attribute Three-Way Group Decision Making Based on Improved VIKOR Model Mathematics hybrid multi-attribute three-way group decision making VIKOR model grey correlation analysis interval-valued intuitionistic fuzzy numbers |
| title | Research on Hybrid Multi-Attribute Three-Way Group Decision Making Based on Improved VIKOR Model |
| title_full | Research on Hybrid Multi-Attribute Three-Way Group Decision Making Based on Improved VIKOR Model |
| title_fullStr | Research on Hybrid Multi-Attribute Three-Way Group Decision Making Based on Improved VIKOR Model |
| title_full_unstemmed | Research on Hybrid Multi-Attribute Three-Way Group Decision Making Based on Improved VIKOR Model |
| title_short | Research on Hybrid Multi-Attribute Three-Way Group Decision Making Based on Improved VIKOR Model |
| title_sort | research on hybrid multi attribute three way group decision making based on improved vikor model |
| topic | hybrid multi-attribute three-way group decision making VIKOR model grey correlation analysis interval-valued intuitionistic fuzzy numbers |
| url | https://www.mdpi.com/2227-7390/10/15/2783 |
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