Attribute reduction in fuzzy concept lattices based on the T implication

Authors:
Lifeng Li;Jianke Zhang
Affiliations:
Department of Applied Mathematics and Applied Physics, Xi'an Institute of Posts and Telecommunications, Xi'an 710121, China;Department of Applied Mathematics and Applied Physics, Xi'an Institute of Posts and Telecommunications, Xi'an 710121, China and School of Science, Xidian University, Xi'an 710126, China
Venue:
Knowledge-Based Systems
Year:
2010

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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 @d@?I"T@?[0,1] with respect to T implication. Then we introduce the notion of @d-reducts in a fuzzy formal context and give some equivalent characterizations of @d-consistent sets to determine @d-reducts. Based on @d-reducts, we divide attributes into three types (at a level @d) and establish some characterization theorems to determine the type of an attribute.