LF拓扑空间的完全正则化及应用  

Complete regularization of L fuzzy topological spaces and its applications

作　　者：李生刚[1] 

机构地区：[1]陕西师范大学数学系

出　　处：《陕西师范大学学报（自然科学版）》1998年第1期8-10,15,共4页Journal of Shaanxi Normal University：Natural Science Edition

基　　金：国家自然科学基金

摘　　要：研究了ＬＦ拓扑空间的完全正则性，引入完全正则ＬＦ集和ＬＦ拓扑空间的完全正则化的概念并给出了等价刻画．在此基础上，建立了完全正则ＬＦ拓扑空间和Ｈ（λ）完全正则空间的新的特征定理．This paper is devoted to the study of complete regularity of L fuzzy topological spaces. The concepts of completely regular L fuzzy set and complete regularization of L fuzzy topological spaces are introduced and characterized. Based on these results, some characteristic theorems on completely regular L fuzzy toplogical spaces and H(λ) completely regular spaces are established.

关 键 词：模糊拓扑 完全正则性 LF拓扑空间 

分 类 号：O159[理学—数学] O189.1[理学—基础数学]