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Attribute and size reduction mechanisms in multi-adjoint concept lattices. (English) Zbl 1382.68236

Summary: Attribute reduction and size reduction in concept lattices are key research topics in Formal Concept Analysis (FCA). This paper combines both strategies in the multi-adjoint concept lattice framework in order to simplify the information provided by the original context. Specifically, we present three procedures which merge the attribute reduction and the size reduction by means of an irreducible \(\alpha\)-cut concept lattice, analyzing the obtained properties.

MSC:

68T30 Knowledge representation
06B23 Complete lattices, completions
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