Abstract

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 ∈ I T ⊆ [ 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.

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