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    Dependence-space-based attribute reduction in consistent decision tables

    Access Status
    Fulltext not available
    Authors
    Mi, J.
    Leung, Yee-Hong
    Wu, W.
    Date
    2011
    Type
    Journal Article
    
    Metadata
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    Citation
    Mi, J. and Leung, Y. and Wu, W. 2011. Dependence-space-based attribute reduction in consistent decision tables. Soft Computing. 15 (2): pp. 261-268.
    Source Title
    Soft Computing
    DOI
    10.1007/s00500-010-0656-1
    ISSN
    1432-7643
    School
    Department of Electrical and Computer Engineering
    URI
    http://hdl.handle.net/20.500.11937/57748
    Collection
    • Curtin Research Publications
    Abstract

    This paper proposes a novel approach to attribute reduction in consistent decision tables within the framework of dependence spaces. For a consistent decision table (U, A ? {d}), an equivalence relation r on the conditional attribute set A and a congruence relation R on the power set of A are constructed, respectively. Two closure operators, T r and T R , and two families of closed sets, C r and C R are then constructed with respect to the two equivalence relations. After discussing the properties of C r and C R the necessary and sufficient condition for C r = C R is obtained and employed to formulate an approach to attribute reduction in consistent decision tables. It is also proved, under the condition C r = C R that a relative reduct is equivalent to a R-reduction defined by Novotny and Pawlak (Fundam Inform 16:275-287, 1992). © 2010 Springer-Verlag.

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