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Erschienen in:
2007 | OriginalPaper | Buchkapitel
Granular Sets – Foundations and Case Study of Tolerance Spaces
verfasst von : Dominik Ślȩzak, Piotr Wasilewski
Erschienen in: Rough Sets, Fuzzy Sets, Data Mining and Granular Computing
Verlag: Springer Berlin Heidelberg
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A novel approach to extend the notions of definability and rough set approximations in information systems with non-equivalence relations is proposed. The upper approximation is defined as set-theoretic complement of negative region of a given concept; therefore, it does not need to be definable. Fundamental properties of new approximation operators are compared with the previous ones reported in literature. The proposed idea is illustrated within tolerance approximation spaces. In particular, granulation based on maximal preclasses is considered.