中文摘要：

两个域上的覆盖粗糙集模型推广了一般关系下的粗糙集模型,定义了两个域上的覆盖二元关系,给出了最小子覆盖新的描述,进而得到两个域上基于最小子覆盖的粗糙集近似算子;给出了若干性质和定理的证明;通过与两个域上的粗糙集模型进行实例对比得出了两个域上的覆盖粗糙集模型的优点。

英文摘要：

Covering rough set model over two different universes extends rough set model in general relation. Covering binary relation on two different universes is defined, which provides a new description of the minimal subcovering. Rough set approximation operators based on minimal subcovering on two different universes are presented. Several important properties and theorems are proposed and proved. An example is illustrated to explain the advantages of the model established in this paper by comparing with rough set model over two different universes.