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

Authors:
Yan-Qing Yao;Ju-Sheng Mi
Affiliations:
College of Mathematics and Information Science, Hebei Normal University, Shijiazhuang, Hebei, P.R. China 050016;College of Mathematics and Information Science, Hebei Normal University, Shijiazhuang, Hebei, P.R. China 050016
Venue:
RSKT '09 Proceedings of the 4th International Conference on Rough Sets and Knowledge Technology
Year:
2009

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Abstract

Formal concept analysis and rough set analysis are 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.