New Uncertainty Measure of Rough Fuzzy Sets and Entropy Weight Method for Fuzzy-Target Decision-Making Tables
In the rough fuzzy set theory, the rough degree is used to characterize the uncertainty of a fuzzy set, and the rough entropy of a knowledge is used to depict the roughness of a rough classification. Both of them are effective, but they are not accurate enough. In this paper, we propose a new rough...
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| Format: | Article |
| Language: | English |
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Wiley
2014-01-01
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| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2014/487036 |
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| author | Huani Qin Darong Luo |
| author_facet | Huani Qin Darong Luo |
| author_sort | Huani Qin |
| collection | DOAJ |
| description | In the rough fuzzy set theory, the rough degree is used to characterize the uncertainty of a fuzzy set, and the rough entropy of a knowledge is used to depict the roughness of a rough classification. Both of them are effective, but they are not accurate enough. In this paper, we propose a new rough entropy of a rough fuzzy set combining the rough degree with the rough entropy of a knowledge. Theoretical studies and examples show that the new rough entropy of a rough fuzzy set is suitable. As an application, we introduce it into a fuzzy-target decision-making table and establish a new method for evaluating the entropy weight of attributes. |
| format | Article |
| id | doaj-art-28c91768ac7e47a486aba4d0a545181c |
| institution | Kabale University |
| issn | 1110-757X 1687-0042 |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Applied Mathematics |
| spelling | doaj-art-28c91768ac7e47a486aba4d0a545181c2025-08-20T03:54:47ZengWileyJournal of Applied Mathematics1110-757X1687-00422014-01-01201410.1155/2014/487036487036New Uncertainty Measure of Rough Fuzzy Sets and Entropy Weight Method for Fuzzy-Target Decision-Making TablesHuani Qin0Darong Luo1College of Mathematics and Computation Science, Wuyi University, Jiangmen, Guangdong 529020, ChinaCollege of Economics and Management, Wuyi University, Jiangmen, Guangdong 529020, ChinaIn the rough fuzzy set theory, the rough degree is used to characterize the uncertainty of a fuzzy set, and the rough entropy of a knowledge is used to depict the roughness of a rough classification. Both of them are effective, but they are not accurate enough. In this paper, we propose a new rough entropy of a rough fuzzy set combining the rough degree with the rough entropy of a knowledge. Theoretical studies and examples show that the new rough entropy of a rough fuzzy set is suitable. As an application, we introduce it into a fuzzy-target decision-making table and establish a new method for evaluating the entropy weight of attributes.http://dx.doi.org/10.1155/2014/487036 |
| spellingShingle | Huani Qin Darong Luo New Uncertainty Measure of Rough Fuzzy Sets and Entropy Weight Method for Fuzzy-Target Decision-Making Tables Journal of Applied Mathematics |
| title | New Uncertainty Measure of Rough Fuzzy Sets and Entropy Weight Method for Fuzzy-Target Decision-Making Tables |
| title_full | New Uncertainty Measure of Rough Fuzzy Sets and Entropy Weight Method for Fuzzy-Target Decision-Making Tables |
| title_fullStr | New Uncertainty Measure of Rough Fuzzy Sets and Entropy Weight Method for Fuzzy-Target Decision-Making Tables |
| title_full_unstemmed | New Uncertainty Measure of Rough Fuzzy Sets and Entropy Weight Method for Fuzzy-Target Decision-Making Tables |
| title_short | New Uncertainty Measure of Rough Fuzzy Sets and Entropy Weight Method for Fuzzy-Target Decision-Making Tables |
| title_sort | new uncertainty measure of rough fuzzy sets and entropy weight method for fuzzy target decision making tables |
| url | http://dx.doi.org/10.1155/2014/487036 |
| work_keys_str_mv | AT huaniqin newuncertaintymeasureofroughfuzzysetsandentropyweightmethodforfuzzytargetdecisionmakingtables AT darongluo newuncertaintymeasureofroughfuzzysetsandentropyweightmethodforfuzzytargetdecisionmakingtables |