Multigranulations Rough Set Method of Attribute Reduction in Information Systems Based on Evidence Theory
Attribute reduction is one of the most important problems in rough set theory. However, from the granular computing point of view, the classical rough set theory is based on a single granulation. It is necessary to study the issue of attribute reduction based on multigranulations rough set. To acqui...
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| 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/10.1155/2014/857186 |
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| author | Minlun Yan |
| author_facet | Minlun Yan |
| author_sort | Minlun Yan |
| collection | DOAJ |
| description | Attribute reduction is one of the most important problems in rough set theory. However, from the granular computing point of view, the classical rough set theory is based on a single granulation. It is necessary to study the issue of attribute reduction based on multigranulations rough set. To acquire brief decision rules from information systems, this paper firstly investigates attribute reductions by combining the multigranulations rough set together with evidence theory. Concepts of belief and plausibility consistent set are proposed, and some important properties are addressed by the view of the optimistic and pessimistic multigranulations rough set. What is more, the multigranulations method of the belief and plausibility reductions is constructed in the paper. It is proved that a set is an optimistic (pessimistic) belief reduction if and only if it is an optimistic (pessimistic) lower approximation reduction, and a set is an optimistic (pessimistic) plausibility reduction if and only if it is an optimistic (pessimistic) upper approximation reduction. |
| format | Article |
| id | doaj-art-b8f85e0502a347d3be73322e4e737c68 |
| 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-b8f85e0502a347d3be73322e4e737c682025-02-03T01:03:17ZengWileyJournal of Applied Mathematics1110-757X1687-00422014-01-01201410.1155/2014/857186857186Multigranulations Rough Set Method of Attribute Reduction in Information Systems Based on Evidence TheoryMinlun Yan0Department of Mathematics and Applied Mathematics, Lianyungang Teachers College, Lianyungang 222006, ChinaAttribute reduction is one of the most important problems in rough set theory. However, from the granular computing point of view, the classical rough set theory is based on a single granulation. It is necessary to study the issue of attribute reduction based on multigranulations rough set. To acquire brief decision rules from information systems, this paper firstly investigates attribute reductions by combining the multigranulations rough set together with evidence theory. Concepts of belief and plausibility consistent set are proposed, and some important properties are addressed by the view of the optimistic and pessimistic multigranulations rough set. What is more, the multigranulations method of the belief and plausibility reductions is constructed in the paper. It is proved that a set is an optimistic (pessimistic) belief reduction if and only if it is an optimistic (pessimistic) lower approximation reduction, and a set is an optimistic (pessimistic) plausibility reduction if and only if it is an optimistic (pessimistic) upper approximation reduction.http://dx.doi.org/10.1155/2014/857186 |
| spellingShingle | Minlun Yan Multigranulations Rough Set Method of Attribute Reduction in Information Systems Based on Evidence Theory Journal of Applied Mathematics |
| title | Multigranulations Rough Set Method of Attribute Reduction in Information Systems Based on Evidence Theory |
| title_full | Multigranulations Rough Set Method of Attribute Reduction in Information Systems Based on Evidence Theory |
| title_fullStr | Multigranulations Rough Set Method of Attribute Reduction in Information Systems Based on Evidence Theory |
| title_full_unstemmed | Multigranulations Rough Set Method of Attribute Reduction in Information Systems Based on Evidence Theory |
| title_short | Multigranulations Rough Set Method of Attribute Reduction in Information Systems Based on Evidence Theory |
| title_sort | multigranulations rough set method of attribute reduction in information systems based on evidence theory |
| url | http://dx.doi.org/10.1155/2014/857186 |
| work_keys_str_mv | AT minlunyan multigranulationsroughsetmethodofattributereductionininformationsystemsbasedonevidencetheory |