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This paper investigates approaches to attribute reduction in concept lattices induced by axialities. Based on an axiality, a type of covariant Galois connection between power sets, or equivalently a binary relation between the ground sets, the lattice of all concepts associated with a formal context is studied. Some judgment theorems for attribute reduction in such a lattice are proposed and proved...
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...
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