Decision self-information based on parameterized fuzzy β neighborhood and its application in three-way multi-attribute group decision-making
As a special kind of entropy, decision self-information effectively considers the uncertainty information of both the lower and upper approximations. However, it is limited to rough binary relations, which limits its application to complex problems. In addition, parameterized fuzzy β covering, as an...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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AIMS Press
2022-10-01
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| Series: | Electronic Research Archive |
| Subjects: | |
| Online Access: | https://www.aimspress.com/article/doi/10.3934/era.2022231?viewType=HTML |
| _version_ | 1811318038801154048 |
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| author | Wenbin Zheng Jinjin Li Shujiao Liao |
| author_facet | Wenbin Zheng Jinjin Li Shujiao Liao |
| author_sort | Wenbin Zheng |
| collection | DOAJ |
| description | As a special kind of entropy, decision self-information effectively considers the uncertainty information of both the lower and upper approximations. However, it is limited to rough binary relations, which limits its application to complex problems. In addition, parameterized fuzzy β covering, as an extension of the covering-based rough set model, can effectively characterize the similarity between samples. We combine decision self-information with a parameterized fuzzy β neighborhood to propose decision self-information in fuzzy environments, and we study its important properties. On this basis, a three-way multi-attribute group decision-making algorithm is established, and a practical problem is solved. The effectiveness of the proposed method is verified by experimental analysis. |
| first_indexed | 2024-04-13T12:18:52Z |
| format | Article |
| id | doaj.art-f4733e3facfe47d0a52d31ff50e49fb6 |
| institution | Directory Open Access Journal |
| issn | 2688-1594 |
| language | English |
| last_indexed | 2024-04-13T12:18:52Z |
| publishDate | 2022-10-01 |
| publisher | AIMS Press |
| record_format | Article |
| series | Electronic Research Archive |
| spelling | doaj.art-f4733e3facfe47d0a52d31ff50e49fb62022-12-22T02:47:17ZengAIMS PressElectronic Research Archive2688-15942022-10-0130124553457310.3934/era.2022231Decision self-information based on parameterized fuzzy β neighborhood and its application in three-way multi-attribute group decision-makingWenbin Zheng0 Jinjin Li 1Shujiao Liao21. School of Computer Science, Minnan Normal University, Zhangzhou 363000, China 2. Key Laboratory of Data Science and Intelligence Application, Fujian Province University, Zhangzhou 363000, China3. School of Mathematics and Statistics, Minnan Normal University, Zhangzhou 363000, China3. School of Mathematics and Statistics, Minnan Normal University, Zhangzhou 363000, ChinaAs a special kind of entropy, decision self-information effectively considers the uncertainty information of both the lower and upper approximations. However, it is limited to rough binary relations, which limits its application to complex problems. In addition, parameterized fuzzy β covering, as an extension of the covering-based rough set model, can effectively characterize the similarity between samples. We combine decision self-information with a parameterized fuzzy β neighborhood to propose decision self-information in fuzzy environments, and we study its important properties. On this basis, a three-way multi-attribute group decision-making algorithm is established, and a practical problem is solved. The effectiveness of the proposed method is verified by experimental analysis.https://www.aimspress.com/article/doi/10.3934/era.2022231?viewType=HTMLfuzzy β coveringself-informationthree-way decisionmulti-attribute decision-making |
| spellingShingle | Wenbin Zheng Jinjin Li Shujiao Liao Decision self-information based on parameterized fuzzy β neighborhood and its application in three-way multi-attribute group decision-making Electronic Research Archive fuzzy β covering self-information three-way decision multi-attribute decision-making |
| title | Decision self-information based on parameterized fuzzy β neighborhood and its application in three-way multi-attribute group decision-making |
| title_full | Decision self-information based on parameterized fuzzy β neighborhood and its application in three-way multi-attribute group decision-making |
| title_fullStr | Decision self-information based on parameterized fuzzy β neighborhood and its application in three-way multi-attribute group decision-making |
| title_full_unstemmed | Decision self-information based on parameterized fuzzy β neighborhood and its application in three-way multi-attribute group decision-making |
| title_short | Decision self-information based on parameterized fuzzy β neighborhood and its application in three-way multi-attribute group decision-making |
| title_sort | decision self information based on parameterized fuzzy β neighborhood and its application in three way multi attribute group decision making |
| topic | fuzzy β covering self-information three-way decision multi-attribute decision-making |
| url | https://www.aimspress.com/article/doi/10.3934/era.2022231?viewType=HTML |
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