基于正规子群的群的粗糙

Inequality of roughness measures based on lower approximation

主要讨论了粗糙集理论在群中的应用.基于粗糙集理论,继续探讨了一个群的子集关于正规子群的粗糙近似子群.同时,给出了粗交换子群的概念与性质.最后,在商群中讨论了粗糙集的一些性质,并给出这些结论的严格证明,进一步补充和完善了粗糙群理论.

This paper discusses the application of rough sets theory on group. Based on the rough theory, a rough subgroup with respect to a normal subgroup of a group is discussed. At the same time, the concept and properties of rough subgroup are given. Finally, some properties of rough set in quotient group are given and proved. Thus the rough theory in groups are completed and perfected.