【摘要】 主要讨论粗糙集理论在群上的应用,基于有关粗糙群中的等价关系、粗糙正规子群、粗糙商群,粗糙群中的同态和同构的概念,进一步讨论了粗糙群的同构,提出了粗糙群的三个同构定理,并给出了这些结论的一个严格证明,进一步丰富了代数中的粗糙集理论．更多还原

【Abstract】 This article mainly discusses the application of rough sets theory to algebra system-group.On the basis of the e- quivalent relation of rough group,the concept of rough normal subgroup,rough quotient group,homomorphism and isomor- phism of rough groups,the isomorphism of rough groups are further discussed and three theorems are introduced and proved,which make rough sets theory in algebra much richer.更多还原