摘要
主要讨论了粗糙集理论在群理论中的应用。基于粗糙半群中的同余关系,提出了粗糙商群的概念。由粗集中的粗糙同态和粗糙同构,进而讨论了粗糙商群的一些性质,并给出了这些结论严格的证明,进一步补充和完善了半群中的粗糙集理论。
In this paper, the main work is to discuss the application of rough sets theory on group. Based on the notion of the congruence relation in a rough semigroup, the concept of rough quotient group is introduced. According to the concepts of the rough homomorphism and rough isomorphism in rough sets, some properties which are related to the rough quotient group are given and proved, thus the rough theory in groups are completed and perfected.
出处
《模式识别与人工智能》
EI
CSCD
北大核心
2003年第1期126-128,共3页
Pattern Recognition and Artificial Intelligence
基金
国家自然科学基金资助项目(No.69803007)
关键词
粗糙商群
性质
粗糙群
同余关系
粗糙集理论
机器学习
知识发现
Rough Group, Congruence Relation, Rough Quotient Group, Rough Homomorphism, Rough Isomorphism
