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Rough Set Approximations in Formal Concept Analysis and Knowledge Spaces

, , and . Foundations of Intelligent Systems, (2008)

Abstract

This paper proposes a generalized definition of rough set approximations, based on a subsystem of subsets of a universe. Thesubsystem is not assumed to be closed under set complement, union and intersection. The lower or upper approximation is nolonger one set but composed of several sets. As special cases, approximations in formal concept analysis and knowledge spacesare examined. The results provide a better understanding of rough set approximations.

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