直积群上几类直觉模糊子群及其投影  

A few kinds of intuitionistic fuzzy groups on a direct product group and their projections

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,天津300387 [2]天津师范大学数学科学学院,天津300387

出　　处：《纯粹数学与应用数学》2009年第1期1-7,共7页Pure and Applied Mathematics

基　　金：国家自然科学基金(70571056).

摘　　要：给出了直觉模糊子群的性质及其等价命题,并通过定义直觉模糊集的直积与投影,获得了直觉模糊直积群及直觉模糊投影子群,进而在直觉模糊标准子群的条件下,分别讨论了直积群上的直觉模糊正规子群、直觉模糊特征子群、直觉模糊共轭与其直觉模糊投影子群的关系.In this paper,we give the properties and some equivalent propositions of intuitionistic fuzzy subgroups. By defining the direct product and projections of intuitionistic fuzzy sets,obtain the intuitionstic fuzzy product group and the intuitionistic fuzzy projective subgroups. Furthermore,when the condition of the intuitionistic fuzzy standard subgroup is satisfied,the realationships between the intuitionistic fuzzy normal subgroup,the intuitionistic fuzzy characteristic subgroup,the intuitionistic fuzzy conjugate and their own intuitionistic fuzzy projective subgroups are discussed,respectively.

关 键 词：直觉模糊子群 直觉模糊投影子群 直觉模糊标准子群 直觉模糊共轭 

分 类 号：O159[理学—数学]