直觉模糊全不变子群与特征子群  

Intuitionistic fuzzy fully invariant subgroups and characteristic subgroups

作　　者：李晓萍[1] 孙刚[2] 

机构地区：[1]天津师范大学管理学院,天津300387 [2]大连海事大学轮机工程学院,辽宁大连116026

出　　处：《山东大学学报（理学版）》2012年第2期119-122,共4页Journal of Shandong University(Natural Science)

基　　金：国家自然科学基金资助项目(60974144)

摘　　要：通过引入直觉模糊集截集的概念,定义了直觉模糊全不变子群与直觉模糊特征子群,并借助于直觉模糊集截集性质和表示,研究了直觉模糊全不变子群与特征子群的蕴涵关系。此外,讨论了循环群上的直觉模糊子群的结构及其特征。The cut-sets of an intuitionistic fuzzy set are introduced,and an intuitionistic fuzzy fully invariant subgroup and an intuitionstic fuzzy characteristic subgroup are defined.The relationship between the intuitionistic fuzzy fully invariant subgroups and intuitionstic fuzzy characteristic subgroups is investigated.Finally,the structure and characteristic of the intuitionistic fuzzy subgroup of a circulating group are discussed.

关 键 词：直觉模糊集 直觉模糊子群 直觉模糊全不变子群 直觉模糊特征子群 

分 类 号：O159[理学—数学]