Attribute reduction in fuzzy concept lattices based on the T implication

摘要

Attribute reduction in fuzzy concept lattices based on the kind of transitive regular implication operator (T implication in short) is introduced and investigated. We first propose a kind of fuzzy concept lattices by using T implication in a fuzzy formal context at a level δ∈IT⊆[0,1] with respect to T implication. Then we introduce the notion of δ-reducts in a fuzzy formal context and give some equivalent characterizations of δ-consistent sets to determine δ-reducts. Based on δ-reducts, we divide attributes into three types (at a level δ) and establish some characterization theorems to determine the type of an attribute.