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.