The Complementary Equivalence Relation Based Rough Set
MA Zhou-Ming1,2,3, LI Jin-Jin1,2
1.School of Mathematics and Statistics, Minnan Normal University, Zhangzhou 363000 2.Laboratory of Granular Computing, Minnan Normal University, Zhangzhou 363000 3.College of Mathematics and Information Science, Hebei Normal University, Shijiazhuang 050024
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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2014, Vol. 27 
