模糊半连续格的性质-陕西师范大学学报期刊社网站

陕西师范大学学报（自然科学版）

数学与计算机科学

模糊半连续格的性质

韩艳伟，赵彬*

(陕西师范大学数学与信息科学学院，陕西西安 710062 )

韩艳伟,女,硕士研究生,研究方向为格上拓扑与模糊推理.E-mail: hanyanwei528@163.com.* 通信作者：赵彬,男,教授,博士研究生导师.E-mail: zhaobin@snnu.edu.cn.

摘要:

在模糊完备格上定义了一种新的模糊Way-below关系,在此基础上引入了模糊半连续格的概念,证明了它是分明半连续格的一种推广.讨论了模糊半连续格上模糊Way-below关系的性质,并利用模糊Galois伴随给出了模糊半连续格的一个等价刻画.

关键词：

模糊半素理想; 模糊半连续格; 模糊Galois伴随

收稿日期：

2011-04-15

中图分类号：

O153.1

文献标识码：

文章编号：

1672-4291(2011)06-0006-04

基金项目：

国家自然科学基金资助项目(10871121, 11171196).

Doi:

Some properties of fuzzy semicontinuous lattices

HAN Yan-wei, ZHAO Bin*

(College of Mathematics and Information Science, Shaanxi Normal University, Xi′an 710062, Shaanxi, China)

Abstract:

A new kind of fuzzy way-below relation on fuzzy complete lattices is defined. Based on it, the concept of fuzzy semicontinuous lattice is introduced.We show that such a fuzzy semicontinuous lattice is a generalization of a semicontinuous lattice. Some properties of the fuzzy way-below relation on fuzzy semicontinuous lattices are discussed. An equivalent characterization of fuzzy semicontinuous lattices is given by using fuzzy Galois connections.

KeyWords:

fuzzy semiprime ideal; fuzzy semicontinuous lattice; fuzzy Galois connection