Deng度量的扩张定理  

Expansion Theorem of Deng’s Metric

作　　者：陈鹏 邱昕[1] CHEN Peng;QIU Xin(Institute of Microelectronics,Chinese Academy of Sciences,Beijing 100029,China)

机构地区：[1]中国科学院微电子研究所

出　　处：《模糊系统与数学》2019年第4期54-65,共12页Fuzzy Systems and Mathematics

摘　　要：本文给出Deng度量在完全分配格上的点式扩张及其它的几种等价形式,指出了它所诱导的拓扑和一致结构就是Erceg度量诱导的拓扑和Hutton一致结构.In this paper,we give the pointwise extension theorems of the Deng's metric on a completely distributive lattice and its several other equivalent axiom forms,and point out that the topology and uniform structure induced by the Deng's metric are the topology induced by the Erceg's metric and the Hutton's uniform structure respectively.

关 键 词：Deng度量 扩张定理 模糊点 第三类度量 O1-nbd簇 

分 类 号：O189[理学—数学]