关于三角模的直觉模糊群及其同态像  

The Intuitionistic Fuzzy Group with respect to Trigonal Norms and Its Homomorphic Image

作　　者：李晓萍[1] 

机构地区：[1]天津师范大学数学科学学院,天津300074

出　　处：《模糊系统与数学》2005年第1期57-62,共6页Fuzzy Systems and Mathematics

基　　金：天津市高校科技发展基金项目 (2 0 0 314 10 ) ;天津师范大学科研启动基金项目 (135 5 RL0 16 )

摘　　要：本文在K.Atanassov引进的直觉模糊集概念的基础上,利用T模和S模,定义了两个直觉模糊集的乘积,给出了关于三角模的直觉模糊群的概念及其等价命题,最后在两个经典群同态与同构意义下。On the basis of the concept of the intuitionistic fuzzy set introduced by K.Atanassov,making use of T-norm and S-norm, we define the product of two intuitionistic fuzzy sets, give the concept of the intuitionistic fuzzy subgroup with respect to trigonal norms and its equivalent proposition in this (paper.) Finally, in the sense of homomorphism and ismorphism between two classical groups, study the homomorphic image and original image etc.of this kind of intuitionistic fuzzy groups.

关 键 词：直觉模糊集 T模 S模 直觉模糊群 同态 同构 

分 类 号：O159[理学—数学]