诱导的L-fuzzy拓扑空间的α-结构  

ON α-STRUCTURE FOR INDUCED L-FUZZY TOPOLOGICAL SPACES

作　　者：高大永[1] 

机构地区：[1]首都师范大学,北京100037

出　　处：《数学杂志》1999年第3期245-249,共5页Journal of Mathematics

基　　金：国家自然科学基金

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 .

关 键 词：拓扑空间 a-集 a-结构 LF拓扑空间 

分 类 号：O189.1[理学—数学] O159[理学—基础数学]