Attribute Reductions of Object-Oriented Soft Concept Lattices in Soft Contexts

초록

Attribute reduction of a formal context is one of the main aims in formal concept analysis. Several methods have been proposed to deal with attribute reduction in an object-oriented concept lattice; however, these methods are inevitably very complicated. To overcome this problem, we study the notion of consistent sets and attribute reduction in object-oriented soft concept lattices in a soft context. Using independent attributes and object-oriented soft concepts, we study the characterization of consistent sets and attribute reductions of objectoriented soft concept lattices. In particular, we introduce two classes of independent attributes for object-oriented soft concepts, 1m and 2m, to construct effective attribute reductions for object-oriented soft concept lattices. Subsequently, we investigate the relationship between the two classes and attribute reduction in object-oriented soft concept lattices. Finally, we investigate meaningful information on how to construct attribute reductions for object-oriented soft concept lattices. Additionally, we apply this information to find attribute reductions in the object-oriented concept lattices of formal contexts.

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