摘要
引入并系统地讨论了L-fuzzy拓扑空间的N-聚点与N-导算子,结果表明它们具有一般拓扑学中相应的几乎全部结论。例如杨忠道定理成立;X_λ为L-fuzzy集A的N-聚点当且仅当A-x_1中有收敛于x_λ的分子网;(A∨B)^(d*)=A^(d*)∨B^(d*)等等。
The concepts of N-accumulation point and N-derived operator in L-fuzzy topological spces are introduced and their properties are systematically discussed. The results show that their properties are nearly paralled. with C·T.Yang's theorem. the x_λ is the N-accumulation point of L-fuzzy set A iff there's a molecular net converged to x_λ in A-x_1 (A∨ B)^(d*)=A~^(d*)∨B^(d*), etc.
出处
《陕西师大学报(自然科学版)》
CSCD
1990年第3期8-11,共4页
Journal of Shaanxi Normal University(Natural Science Edition)
关键词
L-F拓扑空间
N-聚点
N-导算子
L-fuzzy topological spaces
N-accumulation point
N-derived Operator
remote neighborhood