模糊商群的推广(英文)  

Generalization of Fuzzy Quotient Groups

作　　者：姚炳学[1] 刘华文[1] 

机构地区：[1]山东大学数学与系统科学学院

出　　处：《模糊系统与数学》2003年第2期19-23,共5页Fuzzy Systems and Mathematics

基　　金：The Natural Science Foundation of China(70 2 710 4 8) ;The Natural Science Foundation of Shandong Province(Y2 0 0 0 A0 5 )

摘　　要：引入关于一个子群的正规模糊子集概念 ,研究正规模糊子集的一些性质 ,并在此基础上将模糊商群做了自然推广 ,最后建立群同态下正规模糊子集的对应定理。In this paper the concept of normal fuzzy subsets concerning a subgroup of a given group is introduced and some properties of normal fuzzy subsets are discussed. Based on normal fuzzy subsets, the concept of fuzzy quotient groups is generalized naturally. Last, several correspondence theorems for normal fuzzy subsets under group homomorphism are established.

关 键 词：模糊商群 正规模糊子集 同态 对应定理 完全格 

分 类 号：O152.7[理学—数学]