模糊度量空间的一些结果(英文)  

Some Results in Fuzzy Metric Spaces

作　　者：陈鹏[1] 

机构地区：[1]西部矿业股份有限公司,青海西宁810001

出　　处：《模糊系统与数学》2010年第3期46-52,共7页Fuzzy Systems and Mathematics

基　　金：The project is supported by the 863 plan:Digital mining key technology and software development

摘　　要：指出在Erceg’s伪度量公理中(B3)条件对讨论它的诱导拓扑不是本质的。基于这个结果,给出它的两种诱导拓扑的关系。最后,在Erceg’s伪度量集合上构造一个非平凡的一一映射。In the paper, we point out that the （B3） axiom in Erceg＇ s pseudo-metric is not essential to research its induced L-topology, discuss the relationship between two kinds of induced L-topologies by fuzzy pseudo-metric, and show that there is a one to one map on the set of all Ereeg＇s pseudo-metrics.

关 键 词：分子格 WAY below关系 Erceg’s伪度量 

分 类 号：O159[理学—数学]