直觉模糊群与它的诱导商群  

Intuitionistic Fuzzy Group and Its Induced Quotient Group

作　　者：林梦雷[1] 

机构地区：[1]厦门大学数学科学学院,福建厦门361500

出　　处：《厦门大学学报（自然科学版）》2006年第2期157-161,共5页Journal of Xiamen University：Natural Science

基　　金：漳州师院科研基金(SK03005)资助

摘　　要：根据Atanassov K所定义的直觉模糊集的概念,给出一个直觉模糊集为直觉模糊群的充要条件;引入直觉模糊群关于它的正规子群的诱导商集的概念;利用代数思想及方法证明直觉模糊群的诱导商集也是直觉模糊群.该结论完整地解决了一个直觉模糊群关于它的正规子群的商集的问题.The concept of an intuitionistic fussy set was defined by Atanassov K. In this paper, necessary and sufficient conditions were given for whether an intuitionistic fussy set was an intuitionistic fussy group. The concept of the induced quotient set determined by an intuitionistic fussy group on its normal subgroup was introduced. By using algebraic methods,it was proved that the induced quotient set determined by an intuitionistic fussy group was still an intuitionistic fussy group. Thus the problem of a quotient set de termined by an intuitionistic fussy group on its normal subgroup was completely solved. This research enriches the theory of a fussy group.

关 键 词：直觉模糊集 直觉模糊群 直觉模糊群的诱导商集 直觉模糊群的诱导商群 直觉模糊正规子群 

分 类 号：O159[理学—数学]