N-邻域与N-Fuzzy有界集  

N-NEIGHBORHOOD AND N-FUZZY BOUNDED SET

作　　者：张慧[1] 

机构地区：[1]安徽师范大学数学计算机科学学院,安徽芜湖241003

出　　处：《数学杂志》2015年第5期1209-1214,共6页Journal of Mathematics

基　　金：安徽高校省级科学研究项目资助(KJ2012A136)

摘　　要：本文研究了Fuzzy拓扑空间中的N-邻域与N-Fuzzy有界集问题.利用N-邻域引入N-Fuzzy有界集概念,讨论了其与另两种Fuzzy有界集的关系,获得了三种Fuzzy有界集的等价刻画及N-Fuzzy有界集的一些基本性质,推广了Fuzzy有界集的已有结果.In this paper, we investigate N-neighborhood and N-Fuzzy bounded set in fuzzy topological spaces. By using the definition of N-neighborhood, we introduce the concept of N-Fuzzy bounded set. Base of it, we discuss the relationship between it and the other two fuzzy bounded sets, then obtain the equivalent characterizations of three fuzzy bounded sets and some basic properties of N-Fuzzy bounded set, which generalize those results in the literature.

关 键 词：FUZZY拓扑 Fuzzy拓扑线性空间 N-邻域 N-Fuzzy有界集 

分 类 号：O177[理学—数学] O189.13[理学—基础数学]