2004•IEEE Annual Meeting of the Fuzzy Information, 2004. Processing NAFIPS '04.Requires access

Concept lattices in rough set theory

Yiyu Y. Yao

Abstract

An alternative formulation of rough set theory can be developed based on a binary relation between two universes, one is a finite set of objects and the other is a finite set of properties. Rough set approximation operators are defined with respect to the binary relation. Three concept lattices are constructed based on approximation operators. They are different from, but related to, the concept lattice built in formal concept analysis. Through the study of the introduced concept lattices, one can obtain an in-depth understanding of data analysis using rough set theory.

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Key concepts: Rough set, Binary relation, Formal concept analysis, Set theory, Universal set, Binary number, Relation (database), Set (abstract data type)