本文讨论基于逆串行且有性质(P)的广义近似空间与近似空间的联系;通过构造方法说明对称关系下的广义近似空间都对应于某个逆串行关系的广义近似空间,进而讨论对称的且有性质(P)的广义近似空间与近似空间的联系;最后讨论了自反且传递关系下广义近似空间的拓扑性质.
In this paper,we discuss the relationship between generalized approximation spaces based on inverse serial relation and approximation spaces,prove that generalized approximation spaces based on symmetry relation corresponding to some generalized approximation spaces based on inverse serial relation,and study the relationship between generalized approximation spaces based on symmetry-(P) relation and approximation spaces.Finally,we discuss the topological properties of generalized approximation spaces based on reflective and transitive relation.