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.
出处
《模糊系统与数学》
CSCD
北大核心
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
