Fuzzy Concept Lattices Determined by (θ, σ)-Fuzzy Rough Approximation Operators

摘要

Formal concept analysis and rough set analysis arc two complementary approaches for analyzing data. This paper studies approaches to constructing fuzzy concept lattices based on generalized fuzzy rough approximation operators. For a Lukasiewicz implicator θ and its dual σ, a pair of (θ,σ)-fuzzy rough approximation operators is defined. We then propose three kinds of fuzzy Galois connections, and examine some of their basic properties. Thus, three complete fuzzy concept lattices can be produced, for which the properties are analogous to those of the classical concept lattices.