二元关系与粗糙近似算子的性质关系研究

Research on the Relationship between Two Binary Relations and Properties of Rough Approximation Operators

将Pawlak粗糙集模型中的近似空间上的等价关系推广到任意的二元关系,得到广义近似空间A=(U,R),定义了广义近似空间的下近似和上近似,并讨论了串行的、自反的、对称的和传递的等特殊的二元关系与近似算子的特性刻画,找到了二者之间的性质联系.

By extendig the equivalence relation to binary relation on Pawlak rough set approximation space,we obtain the generalized approximation space A=（U,R）,and define its lower and upper approxi-mation.Also,we discuss the characterization of serial ,reflexive,symmetric and transitive binary special re-lationship and approximate operator and find the relations of properties between the two .