Relations between granular reduct and dominance reduct in formal contexts

作者：

Highlights：

• We showed that granule-based reducts and dominance-based reducts are identical.

• We showed that the proposed two kinds attribute characteristics are identical.

• We established relations between dominance classes and irreducible elements.

• We presented some judgment theorems with respect to the irreducible elements.

摘要

•We showed that granule-based reducts and dominance-based reducts are identical.•We showed that the proposed two kinds attribute characteristics are identical.•We established relations between dominance classes and irreducible elements.•We presented some judgment theorems with respect to the irreducible elements.

论文关键词：Attribute reduction,Concept lattice,Dominance relation,Formal concept analysis,Rough set

论文评审过程：Received 27 February 2013, Revised 5 March 2014, Accepted 9 March 2014, Available online 13 April 2014.

论文官网地址：https://doi.org/10.1016/j.knosys.2014.03.006