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关于T-S模的超直觉模糊群及其同态
引用本文:李晓萍,王贵君.关于T-S模的超直觉模糊群及其同态[J].数学杂志,2008,28(1):71-76.
作者姓名:李晓萍  王贵君
作者单位:1. 天津师范大学,管理学院,天津,300387
2. 天津师范大学,数学科学学院,天津,300387
基金项目:国家自然科学基金 , 天津市教委资助项目
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.

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  直觉模糊群  同态与同构  HOMOMORPHISMS  NORMS  结果  意义  群同态  性质  利用  商群  直觉模糊正规子群  研究
文章编号:0255-7797(2008)01-0071-06
收稿时间:2005-04-20
修稿时间:2005-08-20

THE HYPER-INTUITIONISTIC FUZZY GROUPS WITH RESPECT TO T-S NORMS AND THEIR HOMOMORPHISMS
LI Xiao-ping,WANG Gui-jun.THE HYPER-INTUITIONISTIC FUZZY GROUPS WITH RESPECT TO T-S NORMS AND THEIR HOMOMORPHISMS[J].Journal of Mathematics,2008,28(1):71-76.
Authors:LI Xiao-ping  WANG Gui-jun
Abstract: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.
Keywords:Intuitionistic fuzzy sets  hyper-intuitionistic fuzzy groups  hyper-intuitionlstic fuzzy normal subgroups  intuitionistic fuzzy groups of quotients  homomorphism  
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