Attribute reduction in concept lattices and attribute characteristics

Xia Wang, Wen‐Xiu Zhang · Computer Engineering and Applications Journal · 2008

This paper mainly studies attribute reduction in concept lattices based on irreducible elements and constructions of attribute reducts.The judgment method of irreducible elements is first presented,and an approach to attribute reduction in concept lattices is developed based on join irreducible elements.Attribute characteristics are then analyzed by attribute reducts,and necessary and sufficient conditions of different types of attributes are provided respectively.Finally,constructions of attribute reducts are described by attribute characteristics.

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