摘要
作为半连续格上半基和局部半基的推广,文章引入相容半连续格的相容半基及局部相容半基的概念。讨论了它们的基本性质,特别地,借助于相容半基与局部相容半基给出了相容半连续格的一些等价刻画。
As a generalization of semi-basis and local semi-basis on semicontinuous lattices, in this paper, the concept of consistently semi-basis and locally consistently semi-basis on consistently semicontinuous lattices is given, then some properties of them are discussed. In particular, some equivalent characterizations of consistently semicontinuous lattices on the basis of consistently semi-basis and locally consistently semi-basis are given.
出处
《模糊系统与数学》
CSCD
北大核心
2016年第2期152-155,共4页
Fuzzy Systems and Mathematics
基金
国家自然科学基金资助项目(11571175)
安徽省高校自然科学研究重点项目(KJ2015A064)
关键词
相容半连续格
相容半基
局部相容半基
Consistently Semicontinuous Lattices
Consistently Semi-basis
Locally Consistently Semi-basis
