摘要
本文研究了关于T-S模的直觉模糊正规子群、超直觉模糊群、超直觉模糊正规子群和直觉模糊商群,利用T模、S模的定义及性质,在两个经典群同态的意义下,获得了关于超直觉模糊群的同态与同构等若干结果.
We give the definition of the intuitionistic fuzzy normal subgroup, the hyper-intuitionistic fuzzy normal subgroup and the intuitionistic fuzzy group of quotients with respect to T-S norms and their some important results in this paper. Furthermore, in the sense of the homomrphism between two classical groups, we discuss the homomorphisms of the hyper-intuitionistic fuzzy groups with respect to T-S norms, etc. in detail.
出处
《数学杂志》
CSCD
北大核心
2008年第1期71-76,共6页
Journal of Mathematics
基金
国家自然科学基金资助项目(70571056)
天津市高等学校科技发展基金项目(20031410)
关键词
直觉模糊集
超直觉模糊群
超直觉模糊正规子群
直觉模糊商群
同态
Intuitionistic fuzzy sets
hyper-intuitionistic fuzzy groups
hyper-intuitionlstic fuzzy normal subgroups
intuitionistic fuzzy groups of quotients
homomorphism.
