摘要
本文研究Ｌ－ｆｕｚｚｙ 拓扑空间的一类几乎开Ｌ－ｆｕｚｚｙ 集的性质，在Ｌ－ｆｕｚｚｙ 拓扑空间中引入了α－结构的概念，证明了由一般拓扑空间（Ｘ，Ｔ）诱导的Ｌ－ｆｕｚｚｙ 拓扑空间（ＬＸ，ＷＬ（Ｔ））的α－结构必是ＬＸ 上的Ｌ－ｆｕｚｚｙ 拓扑，并且指出这个拓扑就是由一般拓扑空间（Ｘ，Ｔ）的α－ 结构诱导的．此外，本文还给出了与诱导的Ｌ－ｆｕｚｚｙ拓扑空间的α－结构相关的若干性质．
In this paper, a kind of nearly open sets in L fuzzy topological spaces is investigated. First, the notion of the α structure for L fuzzy topological spaces is introduced. Then it is proved that the α structure for L fuzzy topological space (L X, W L (T)), which is induced by the general topological space (X,T) , is a L fuzzytopoly on L X , and it is just induced by the α structure for (X,T). Moreover, the properties of the α struceture for induced L fuzzy topological spaces are obtained .
出处
《数学杂志》
CSCD
1999年第3期245-249,共5页
Journal of Mathematics
基金
国家自然科学基金
关键词
拓扑空间
a-集
a-结构
LF拓扑空间
topological space
L fuzzy topological space
induced L fuzzy topological space
α set
α structure.
