关于T-S模的超直觉模糊群及其同态  

THE HYPER-INTUITIONISTIC FUZZY GROUPS WITH RESPECT TO T-S NORMS AND THEIR HOMOMORPHISMS

作　　者：李晓萍[1] 王贵君[2] 

机构地区：[1]天津师范大学管理学院 [2]天津师范大学数学科学学院,天津300387

出　　处：《数学杂志》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)

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.

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 

分 类 号：O159[理学—数学]