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The Complementary Equivalence Relation Based Rough Set
Pages: 873-878
Year: Issue:  10
Journal: Pattern Recognition and Artificial Intelligence

Keyword:  Rough SetEquivalence RelationComplementary Equivalence RelationAccurate Set;
Abstract: A binary relation can be regarded as a set,and thus its complementary set is taken into account.Based on the set attribute of the equivalence relations,the definition of the complementary equivalence relation is given firstly,and its characterization of the relationship among the internal elements is probed.Firstly,the rough set based on the complementary equivalence relation is constructed,and the basis of its axiomatization is discussed as well. Secondly,the mutual relation between the rough set based on the complementary equivalence relation and the classical rough set is studied. And by the proposed rough set,the corresponding calculations of the classical approximation operators is predigested,and the key knowledge like basic accurate set is also fixed.
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