摘要
讨论粗糙集理论在代数系统——群上的应用。基于有关粗糙群、粗糙子群和粗糙不变子群的基本概念以及粗糙子群的一些性质和有关粗糙不变子群的定理 ,讨论了粗糙不变子群的若干性质和粗糙商群的概念 。
In this paper, the main work is to discuss the application of Rough Sets theory to algebra (system) - groups. Some properties of rough invariant subgroups and the concept of rough quotient (groups) are introduced based on the basic concepts with respect to rough groups and rough subgroups and rough invariant subgroups as well as some properties of rough subgroups and some theorems of (rough) invariant groups, then the rigorous proof is given.
出处
《模糊系统与数学》
CSCD
2004年第4期49-53,共5页
Fuzzy Systems and Mathematics
基金
国家自然科学基金资助项目 (6 980 3 0 0 7)
电子科技大学青年科技基金资助项目 (L 0 80 1 1 0 0 1 YF0 2 1 1 0 4 )
关键词
粗糙群
粗糙子群
粗糙不变子群
粗糙商群
Rough Groups
Rough Subgroups
Rough Invariant Subgroups
Rough Quotient Groups
