【摘要】 给出了拟正规(,∨q)-模糊子群的概念,讨论了正规(,∨q)-模糊子群与拟正规(,∨q)-模糊子群之间的关系,研究了拟正规(,∨q)-模糊子群的一些性质.证明了正规(,∨q)-模糊子群一定为拟正规(,∨q)-模糊子群,拟正规子群一定为拟正规(,∨q)-模糊子群,A为拟正规(,∨q)-模糊子群当且仅当它的截集A为G的拟正规子群.更多还原

【Abstract】 In this paper,the concept of quasi-normal(,∨q)-fuzzy subgroup is put forward and the relation between normal(,∨q)-fuzzy subgroup and quasi-normal(,∨q)-fuzzy subgroup is discussed,some properties of quasi-normal(,∨q)-fuzzy subgroup are presented.It is proved that a normal(,∨q)-fuzzy subgroup is a quasi-normal(,∨q)-fuzzy subgroup,a quasi-normal subgroup is a quasi-normal(,∨q)-fuzzy subgroup,and A is a quasi-normal(,∨q)-fuzzy subgroup if and only if cut set(A~λ) of A is a quasi-normal subgroup of G.更多还原