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    Attribute reductions in object-oriented concept lattices

    Access Status
    Fulltext not available
    Authors
    Ma, J.
    Leung, Yee-Hong
    Zhang, W.
    Date
    2013
    Type
    Journal Article
    
    Metadata
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    Citation
    Ma, J. and Leung, Y. and Zhang, W. 2013. Attribute reductions in object-oriented concept lattices. International Journal of Machine Learning and Cybernetics. 5 (5): pp. 789-813.
    Source Title
    International Journal of Machine Learning and Cybernetics
    DOI
    10.1007/s13042-013-0214-0
    ISSN
    1868-8071
    School
    Department of Electrical and Computer Engineering
    URI
    http://hdl.handle.net/20.500.11937/56937
    Collection
    • Curtin Research Publications
    Abstract

    © 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.

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