群的模糊同态与模糊商群的同构定理  

Fuzzy Homomorphism of Groups and Isomorphism Theorems of Fuzzy Quotient Groups

作　　者：姚炳学[1] 

机构地区：[1]聊城师范学院数学与系统科学系,山东聊城252059

出　　处：《模糊系统与数学》2001年第3期5-9,共5页Fuzzy Systems and Mathematics

基　　金：山东省自然科学基金资助项目 (Y2 0 0 0 A0 5 )

摘　　要：利用模糊映射 ,给出群的模糊同态的概念 ,并得到模糊同态基本定理。The concept of fuzzy homomorphism of groups is introduced based on the fuzzy mapping and the fundamental theorem of fuzzy homomorphism is given. Then several isomorphism theorems of fuzzy quotient groups are established.

关 键 词：模糊映射 模糊同态 模糊同构 群 模糊商群 同构定理 

分 类 号：O159[理学—数学] O152[理学—基础数学]