直觉模糊全不变子群与特征子群分析研究  

Analysis of intuitionistic fuzzy fully invariant subgroup and characteristic subgroup

作　　者：杨云飞[1] YANG Yunfei(School of Mathematics Science, Inner Mongolia Normal University, Hohhot 010022,China)

机构地区：[1]内蒙古师范大学数学科学学院,内蒙古呼和浩特010022

出　　处：《黑龙江工程学院学报》2017年第1期52-55,共4页Journal of Heilongjiang Institute of Technology

摘　　要：针对直觉模糊集的相关理论,定义两种新的子群——直觉模糊全不变子群、直觉模糊特征子群。然后,研究直觉模糊集截集的性质和表示方法,探究直觉模糊全不变子群和直觉模糊特征子群两者内在的数理逻辑关系。最后,在循环群的基础上,进一步探究直接模糊子群的数理特性和结构形态。This paper,based on the theory of intuitionistic fuzzy sets,defines two new subgroups：the intuitionistic fuzzy fully invariant subgroup and the intuitionistic fuzzy characteristic subgroup.Then,it studies the properties and representation methods of intuitionistic fuzzy set,and explores the mathematical and logical relations between intuitionistic fuzzy fully invariant subgroup and intuitionistic fuzzy characteristic subgroup.Finally,on the basis of the cyclic group,it further presents the mathematical properties and structure form of the intuitionistic fuzzy subgroup.

关 键 词：直觉模糊特征子群 直觉模糊全不变子群 循环群 

分 类 号：O159[理学—数学]