相容拟半连续Domain和相容交半连续Domain

J4 ›› 2012, Vol. 47 ›› Issue (2): 104-108.

相容拟半连续Domain和相容交半连续Domain

郭智莲^1,2, 杨海龙^1*

1. 陕西师范大学数学与信息科学学院, 陕西西安 710062;
2.西北政法大学经济管理学院, 陕西西安 710063

收稿日期:2011-04-17 出版日期:2012-02-20 发布日期:2012-12-24
通讯作者: 杨海龙(1977- ),男,博士,讲师,研究方向为不确定理论与格上拓扑学.Email: yanghailong@snnu.edu.cn
作者简介:郭智莲(1980- ),女,博士研究生,讲师,研究方向为格上拓扑与模糊推理.Email: gzl-434@163.com
基金资助:
国家自然科学基金资助项目(10871121,11171196)

Consistently quasi-semicontinuous Domains and consistently meet-semicontinuous Domains

GUO Zhi-lian^1,2, YANG Hai-long^1*

1. College of Mathematics and Information Science, Shaanxi Normal University, Xi’an 710062, Shaanxi, China;
2. School of Economics and Management, Northwest University of Politics and Law, Xi’an 710063, Shaanxi, Chin

Received:2011-04-17 Online:2012-02-20 Published:2012-12-24

摘要/Abstract

摘要：

引入了相容拟半连续Domain和相容交半连续Domain的概念, 给出了一系列好的性质。分别给出了相容半连续Domain与相容拟半连续Domain、相容交半连续Domain间的关系, 并且利用相容半Scott拓扑刻画了相容交半连续Domain。

关键词: 相容半连续Domain; 相容拟半连续Domain; 相容交半连续Domain

Abstract:

The concepts of consistently quasi-semicontinuous Domains and consistently meet-semicontinuous Domains are introduced, and some properties are given. The relations of consistently semicontinuous Domains and consistently quasi-semicontinuous Domains and consistently meet-semicontinuous Domains are discussed. Also, the equivalences of consistently meet-semicontinuous Domains are given.

Key words: consistently semicontinuous Domains; consistently quasi-semicontinuous Domains; consistently meet-semicontinuous Domains

郭智莲1,2, 杨海龙1*. 相容拟半连续Domain和相容交半连续Domain[J]. J4, 2012, 47(2): 104-108.

GUO Zhi-lian1,2, YANG Hai-long1*. Consistently quasi-semicontinuous Domains and consistently meet-semicontinuous Domains[J]. J4, 2012, 47(2): 104-108.

参考文献

多维度评价

Viewed

Full text

Abstract

Cited

Shared

Discussed