Parameterized Local Reduction of Decision Systems
One important and valuable topic in rough sets is attribute reduction of a decision system. The existing attribute reductions are designed to just keep confidence of every certain rule as they cannot identify key conditional attributes explicitly for special decision rules. In this paper, we develop...
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2012-01-01
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| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2012/857590 |
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| _version_ | 1832545389406846976 |
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| author | Degang Chen Yanyan Yang Xiao Zhang |
| author_facet | Degang Chen Yanyan Yang Xiao Zhang |
| author_sort | Degang Chen |
| collection | DOAJ |
| description | One important and valuable topic in rough sets is attribute reduction of a decision system. The existing attribute reductions are designed to just keep confidence of every certain rule as they cannot identify key conditional attributes explicitly for special decision rules. In this paper, we develop the concept of -local reduction in order to offer a minimal description for special -possible decision rules. The approach of discernibility matrix is employed to investigate the structure of a -local reduction and compute all -local reductions. An example of medical diagnosis is employed to illustrate our idea of the -local reduction. Finally, numerical experiments are performed to show that our method proposed in this paper is feasible and valid. |
| format | Article |
| id | doaj-art-a2bdd213703249f39091724aac71ff0e |
| institution | Kabale University |
| issn | 1110-757X 1687-0042 |
| language | English |
| publishDate | 2012-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Applied Mathematics |
| spelling | doaj-art-a2bdd213703249f39091724aac71ff0e2025-02-03T07:26:00ZengWileyJournal of Applied Mathematics1110-757X1687-00422012-01-01201210.1155/2012/857590857590Parameterized Local Reduction of Decision SystemsDegang Chen0Yanyan Yang1Xiao Zhang2Department of Mathematics and Physics, North China Electric Power University, Beijing 102206, ChinaDepartment of Mathematics and Physics, North China Electric Power University, Beijing 102206, ChinaDepartment of Mathematics and Physics, North China Electric Power University, Beijing 102206, ChinaOne important and valuable topic in rough sets is attribute reduction of a decision system. The existing attribute reductions are designed to just keep confidence of every certain rule as they cannot identify key conditional attributes explicitly for special decision rules. In this paper, we develop the concept of -local reduction in order to offer a minimal description for special -possible decision rules. The approach of discernibility matrix is employed to investigate the structure of a -local reduction and compute all -local reductions. An example of medical diagnosis is employed to illustrate our idea of the -local reduction. Finally, numerical experiments are performed to show that our method proposed in this paper is feasible and valid.http://dx.doi.org/10.1155/2012/857590 |
| spellingShingle | Degang Chen Yanyan Yang Xiao Zhang Parameterized Local Reduction of Decision Systems Journal of Applied Mathematics |
| title | Parameterized Local Reduction of Decision Systems |
| title_full | Parameterized Local Reduction of Decision Systems |
| title_fullStr | Parameterized Local Reduction of Decision Systems |
| title_full_unstemmed | Parameterized Local Reduction of Decision Systems |
| title_short | Parameterized Local Reduction of Decision Systems |
| title_sort | parameterized local reduction of decision systems |
| url | http://dx.doi.org/10.1155/2012/857590 |
| work_keys_str_mv | AT degangchen parameterizedlocalreductionofdecisionsystems AT yanyanyang parameterizedlocalreductionofdecisionsystems AT xiaozhang parameterizedlocalreductionofdecisionsystems |