摘要
介绍了模糊开(闭)球并证明了它们的一些性质。定义了模糊开(闭)集,由此诱导了广义模糊赋范空间上的一个拓扑。借助于广义模糊赋范空间中模糊闭球套的概念,证明了有关完备广义模糊赋范空间的两个结论。
The definitions of fuzzy open ball and fuzzy closed ball are introduced and some properties of them are proved. Then fuzzy open and fuzzy closed sets are defined which can induced a topology on a generalized fuzzy normed space （X,N, ＊ ）. Finally two conclusions of a complete generalized fuzzy normed space are proved by the concept of nest of fuzzy closed balls in a generalized fuzzy normed space.
出处
《山东大学学报（理学版）》
CAS
CSCD
北大核心
2011年第4期113-117,126,共6页
Journal of Shandong University(Natural Science)
基金
国家自然科学基金资助项目(10571113
10871224)
关键词
广义模糊赋范空间
模糊收敛性
模糊有界性
模糊闭球套
generalized fuzzy normed space
fuzzy convergence
fuzzy boundedness
nest of fuzzy closed balls
