半群中的格林关系的粗糙性质

The Rough Properties of Green′s Equivalences in Semigroups

在粗糙集理论的基础上,将格林等价关系引入到粗糙集中,并与半群中的理想相联系,利用格林关系的一些基本性质,讨论半群中格林等价关系的粗糙性质,并给出这些结论的证明,进一步补充和完善了半群中的粗糙集理论.

Based on the theory of rough sets,Green′s equivalences are put into rough sets and connected with the ideals of semigroups.In the use of some basic properties of Green′s relations,some rough properties of Green′s equivalences are discussed and the conclusions are reached,which helps improve the rough sets theory in semigroups.