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Type-irr Attribute Reduction in Decision Formal Concept

Mei-Zheng Li

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Abstract

Attribute reduction in concept lattices is one of the key problems in the study of concept lattice theory. This paper defines a irr-consistent set and provides an approach to attribute reduction in concept lattices of a consistent decision formal context and an inconsistent decision formal context based on irreducible element. After the reduction of a formal context, the computation of concept lattices becomes more simple and convenient.

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What this paper is about

Attribute reduction in concept lattices is one of the key problems in the study of concept lattice theory. This paper defines a irr-consistent set and provides an approach to attribute reduction in concept lattices of a consistent decision formal context and an inconsistent decision formal context based on irreducible element. After the reduction of a formal context, the computation of concept lattices becomes more simple and convenient.

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Available abstract

Attribute reduction in concept lattices is one of the key problems in the study of concept lattice theory. This paper defines a irr-consistent set and provides an approach to attribute reduction in concept lattices of a consistent decision formal context and an inconsistent decision formal context based on irreducible element. After the reduction of a formal context, the computation of concept lattices becomes more simple and convenient.

Key concepts: Lattice Miner, Computer science, Formal concept analysis, Reduction (mathematics), Attribute domain, Context (archaeology), Rough set, Computation

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