摘要
分析了文[4]中的直觉模糊子群关于它的正规子群的诱导商集的概念之不足,重新定义了直觉模糊商群,同时引入了商直觉模糊子群,并利用集合套研究了直觉模糊子群和直觉模糊正规子群,此外还讨论了其相关性质及同构定理。
In this paper,the intuitionistic fuzzy quotient group is redefined,after analysing the shortage of the concept of induced quotient sets determined by an intuitionistic fuzzy group on its normal subgroup in [4].And the quotient intuitionstic fuzzy subgroup is introduced.Then,we study the intuitionistic fuzzy subgroup and intuitionistic fuzzy normal subgroup by nested sets.Moreover,some characters and isomorphism theorems of intuitionistic fuzzy subgroups are discussed.
出处
《模糊系统与数学》
CSCD
北大核心
2008年第5期57-62,共6页
Fuzzy Systems and Mathematics
基金
国家自然科学基金资助项目(6036400170461001)
海南省自然科学基金资助项目(80401)
关键词
直觉模糊集
直觉模糊子群
直觉模糊商群
商直觉模糊子群
既约集合套
Intuitionistic Fuzzy Set
Intuitionistic Fuzzy Subgroup
Intuitionistic Fuzzy Quotient Group
Quotient Intuitionistic Fuzzy Subgroup
Irreducible Nested Set
