Generalized Rough Set Model Based on Strong Symmetric Binary Relation
MA Zhou-Ming, LI Jin-Jin
Department of Mathematics and Information Science,Zhangzhou Normal University,Zhangzhou 363000 Laboratory of Granular Computing,Zhangzhou Normal University,Zhangzhou 363000
Abstract The axiomatization is one of the most important topics in rough set theory. The definition of strong symmetric binary relation is presented by analyzing axiomatic characterizations of symmetric approximate operators. In contrast with the properties of equivalence relation, some important characteristics of the proposed binary relation are presented, and the necessary and sufficient condition for a symmetric binary relation becoming a strong symmetric one is given. The properties of corresponding generalized rough set are investigated, and the corresponding axiomatic group is studied. Utilizing of the correlation between these axioms and accurate sets, the characteristics of accurate sets in the generalized rough set based on a binary relation are discussed, and some assistance is provided to method and application of rough set theory.
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2012, Vol. 25 
