Deng伪度量与Erceg伪度量的关系  

The Relation between Deng's Pseudo-metric and Erceg's Pseudo-metric

作　　者：陈鹏[1,2] 

机构地区：[1]河南科技大学数学与统计学院,河南洛阳471003 [2]北京工业大学应用数理学院,北京100124

出　　处：《模糊系统与数学》2015年第1期1-5,共5页Fuzzy Systems and Mathematics

基　　金：河南科技大学博士启动项目(09001613);河南科技大学科研创新能力培育基金资助项目(13000810)

摘　　要：证明一个Deng度量是一个Erceg度量,但反之不成立,并且证明Deng度量的拓扑可以被远域刻画且它所诱导的拓扑和m-一致结构就是Erceg度量所诱导的拓扑和Hutton一致结构。In this paper, we point out that Deng＇s pseudo-metric is Erceg＇s pseudo-metric, but the converse is not true, prove that the topology induced by Deng＇ s pseudo-metric can characterized by Q-neighborhoods, therefore its topology is Q-C1, and what is more, show that Deng＇s topology and it＇s m-uniformity are respectively Erceg＇s topology and Hutton＇s uniformity.

关 键 词：Deng伪度量 Erceg伪度量 m-一致结构 Q-C1 

分 类 号：O189[理学—数学]