【摘要】 在A.George和P.Veeramani模糊度量空间的基础上得到了模糊度量空间的一些拓扑性质:模糊度量空间上的一致连续定理;每一个模糊度量空间是可分的和每一个可分的模糊度量空间满足第二可数公理;每个模糊度量空间是可度量化的.更多还原

【Abstract】 In this paper,we investigate some topological properties of fuzzy metric spaces(in the sense of A.George and P.Veeramani,Fuzzy Sets Systm1994,64:395.).The following results are proved:there is uniform continuity theorem for fuzzy metric spaces,each fuzzy metric space is separable and each separable fuzzy metric space satisfies the second countable axiom,and finally each fuzzy metric space is metrizable.更多还原