直觉模糊群与它的同态像  

Intuitionistic Fuzzy Group and Its Homomorphisic Image

作　　者：李晓萍[1] 王贵君[1] 

机构地区：[1]通化师范学院数学系,吉林通化134002

出　　处：《模糊系统与数学》2000年第1期45-50,共6页Fuzzy Systems and Mathematics

基　　金：吉林省教委高校青年科研基金

摘　　要：在 K.Atanassov引进直觉模糊集的基础上 ,给出它的扩展原理 ,进而定义了直觉模糊群 ,并讨论了它的简单性质 ,最后在两个经典群同态与同构意义下 ,研究了这种直觉模糊群的像、前像与逆映射等问题。On the basis of the intuitionistic fuzzy sets being introduced by K.Atanassov,we first give its extension principle in this paper,and then define the intuitionistic fuzzy groups,discuss its simple properties. Finally,in the sense of homomorphism and isomorphism between two clasical groups,we study the image,the preimage and the inverse mapping etc. of this kind of intuitionistic fuzzy groups.

关 键 词：直觉模糊集 扩展原理 直觉模糊群 同构 同态像 

分 类 号：O159[理学—数学]