Characterizations of Attributes in Generalized Approximation Representation Spaces

We discuss characterizations of three important types of attribute sets in generalized approximation representation spaces, in which binary relations on the universe are reflexive. Many information tables, such as consistent or inconsistent decision tables, variable precision rough set models, consistent decision tables with ordered valued domains and with continuous valued domains, and decision tables with fuzzy decisions, can be unified to generalized approximation representation spaces. A general approach to knowledge reduction based on rough set theory is proposed.

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