Attribute reductions in object-oriented concept lattices
© 2013, Springer-Verlag Berlin Heidelberg. Attribute reduction is one of the main issues in the study of concept lattice. This paper mainly deals with attribute reductions of an object-oriented concept lattice constructed on the basis of rough set. Attribute rank of object-oriented concept lattice i...
| Main Authors: | , , |
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| Format: | Journal Article |
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Springer
2013
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| Online Access: | http://hdl.handle.net/20.500.11937/56937 |
| _version_ | 1848759974433390592 |
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| author | Ma, J. Leung, Yee-Hong Zhang, W. |
| author_facet | Ma, J. Leung, Yee-Hong Zhang, W. |
| author_sort | Ma, J. |
| building | Curtin Institutional Repository |
| collection | Online Access |
| description | © 2013, Springer-Verlag Berlin Heidelberg. Attribute reduction is one of the main issues in the study of concept lattice. This paper mainly deals with attribute reductions of an object-oriented concept lattice constructed on the basis of rough set. Attribute rank of object-oriented concept lattice is first defined, and relationships between attribute rank and object-oriented concepts are then discussed. Based on attribute rank, generating algorithm of object-oriented concepts is investigated. The object-oriented consistent set and object-oriented reduction of an object-oriented concept lattice are defined. Adjustment theorems of the object-oriented consistent set, and the necessary and sufficient conditions for a attribute subset to be an object-oriented consistent set of an object-oriented concept lattice are discussed. Then the object-oriented discernibility matrix of an object-oriented concept lattice is defined and its properties are also studied. Based on the object-oriented discernibility matrix, an approach to object-oriented reductions of an object-oriented concept lattice is proposed, and the attribute characteristics are also analyzed. |
| first_indexed | 2025-11-14T10:08:24Z |
| format | Journal Article |
| id | curtin-20.500.11937-56937 |
| institution | Curtin University Malaysia |
| institution_category | Local University |
| last_indexed | 2025-11-14T10:08:24Z |
| publishDate | 2013 |
| publisher | Springer |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | curtin-20.500.11937-569372017-09-27T10:48:51Z Attribute reductions in object-oriented concept lattices Ma, J. Leung, Yee-Hong Zhang, W. © 2013, Springer-Verlag Berlin Heidelberg. Attribute reduction is one of the main issues in the study of concept lattice. This paper mainly deals with attribute reductions of an object-oriented concept lattice constructed on the basis of rough set. Attribute rank of object-oriented concept lattice is first defined, and relationships between attribute rank and object-oriented concepts are then discussed. Based on attribute rank, generating algorithm of object-oriented concepts is investigated. The object-oriented consistent set and object-oriented reduction of an object-oriented concept lattice are defined. Adjustment theorems of the object-oriented consistent set, and the necessary and sufficient conditions for a attribute subset to be an object-oriented consistent set of an object-oriented concept lattice are discussed. Then the object-oriented discernibility matrix of an object-oriented concept lattice is defined and its properties are also studied. Based on the object-oriented discernibility matrix, an approach to object-oriented reductions of an object-oriented concept lattice is proposed, and the attribute characteristics are also analyzed. 2013 Journal Article http://hdl.handle.net/20.500.11937/56937 10.1007/s13042-013-0214-0 Springer restricted |
| spellingShingle | Ma, J. Leung, Yee-Hong Zhang, W. Attribute reductions in object-oriented concept lattices |
| title | Attribute reductions in object-oriented concept lattices |
| title_full | Attribute reductions in object-oriented concept lattices |
| title_fullStr | Attribute reductions in object-oriented concept lattices |
| title_full_unstemmed | Attribute reductions in object-oriented concept lattices |
| title_short | Attribute reductions in object-oriented concept lattices |
| title_sort | attribute reductions in object-oriented concept lattices |
| url | http://hdl.handle.net/20.500.11937/56937 |