Granular Space Reduction to a β Multigranulation Fuzzy Rough Set
Multigranulation rough set is an extension of classical rough set, and optimistic multigranulation and pessimistic multigranulation are two special cases of it. β multigranulation rough set is a more generalized multigranulation rough set. In this paper, we first introduce fuzzy rough theory into β...
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| Format: | Article |
| Language: | English |
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Wiley
2014-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2014/679037 |
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| author | Junyi Zhou Shaohui Ma Jianzhen Li |
| author_facet | Junyi Zhou Shaohui Ma Jianzhen Li |
| author_sort | Junyi Zhou |
| collection | DOAJ |
| description | Multigranulation rough set is an extension of classical rough set, and optimistic multigranulation and pessimistic multigranulation are two special cases of it. β multigranulation rough set is a more generalized multigranulation rough set. In this paper, we first introduce fuzzy rough theory into β multigranulation rough set to construct a β multigranulation fuzzy rough set, which can be used to deal with continuous data; then some properties are discussed. Reduction is an important issue of multigranulation rough set, and an algorithm of granular space reduction to β multigranulation fuzzy rough set for preserving positive region is proposed. To test the algorithm, experiments are taken on five UCI data sets with different values of β. The results show the effectiveness of the proposed algorithm. |
| format | Article |
| id | doaj-art-cbc8c687e5fc47638b95d2bc348da96e |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-cbc8c687e5fc47638b95d2bc348da96e2025-02-03T01:21:36ZengWileyAbstract and Applied Analysis1085-33751687-04092014-01-01201410.1155/2014/679037679037Granular Space Reduction to a β Multigranulation Fuzzy Rough SetJunyi Zhou0Shaohui Ma1Jianzhen Li2School of Economics and Management, Jiangsu University of Science and Technology, Zhenjiang 212003, ChinaSchool of Economics and Management, Jiangsu University of Science and Technology, Zhenjiang 212003, ChinaSchool of Electronics and Information, Jiangsu University of Science and Technology, Zhenjiang 212003, ChinaMultigranulation rough set is an extension of classical rough set, and optimistic multigranulation and pessimistic multigranulation are two special cases of it. β multigranulation rough set is a more generalized multigranulation rough set. In this paper, we first introduce fuzzy rough theory into β multigranulation rough set to construct a β multigranulation fuzzy rough set, which can be used to deal with continuous data; then some properties are discussed. Reduction is an important issue of multigranulation rough set, and an algorithm of granular space reduction to β multigranulation fuzzy rough set for preserving positive region is proposed. To test the algorithm, experiments are taken on five UCI data sets with different values of β. The results show the effectiveness of the proposed algorithm.http://dx.doi.org/10.1155/2014/679037 |
| spellingShingle | Junyi Zhou Shaohui Ma Jianzhen Li Granular Space Reduction to a β Multigranulation Fuzzy Rough Set Abstract and Applied Analysis |
| title | Granular Space Reduction to a β Multigranulation Fuzzy Rough Set |
| title_full | Granular Space Reduction to a β Multigranulation Fuzzy Rough Set |
| title_fullStr | Granular Space Reduction to a β Multigranulation Fuzzy Rough Set |
| title_full_unstemmed | Granular Space Reduction to a β Multigranulation Fuzzy Rough Set |
| title_short | Granular Space Reduction to a β Multigranulation Fuzzy Rough Set |
| title_sort | granular space reduction to a β multigranulation fuzzy rough set |
| url | http://dx.doi.org/10.1155/2014/679037 |
| work_keys_str_mv | AT junyizhou granularspacereductiontoabmultigranulationfuzzyroughset AT shaohuima granularspacereductiontoabmultigranulationfuzzyroughset AT jianzhenli granularspacereductiontoabmultigranulationfuzzyroughset |