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文献[1]中的相对闭包不能对应于覆盖广义粗集理论中的另一个主要概念覆盖上近似集。因此本文给出了关于子基β的相对闭包的另一种定义,使之能对应于覆盖广义粗集理论中的覆盖上近似集。主要结果:相对闭包的一些基本性质、同一拓扑的两个子基会生成相同的相对闭包运算的充分必要条件、相对内部运算和相对闭包运算的相互依赖性。这些结果可以看作是覆盖广义粗集的理论基础。
The relative closure in [1] does not correspond to covering another approximate concept in the generalized rough set theory. Therefore, we give another definition of the relative closure of subgroup β, which can correspond to covering the overlying cover in generalized rough set theory. Main results: Some basic properties of relative closures, two sub-bases of the same topology will generate the same necessary relative closures, the relative inter-dependency between internal and relative closures. These results can be regarded as covering the theoretical basis of generalized rough sets.