摘要
给定模糊格Ｌ及ＬＦ拓扑空间（ＬＸ，δ），对Ｌ的素元ｒ及分子α，在（ＬＸ，δ）中引入了ｒ－开集及α－闭集的概念．证明了所有的ｒ－开集Ｏｒ（δ）和α－闭集Ｃα（δ）分别形成一个ＬＦ拓扑和ＬＦ余拓扑，借助于它俩得到了ＬＦ连续映射和ＬＦ开映射的若干新特征．
Given a fuzzy lattice L and an L fuzzy topological space (L X,δ ),for prime element r and molecule α of L , the concepts of r open sets and α closed sets in ( L X,δ ) are introduced. It is proved that all r open sets O r(δ) and all α closed sets C α(δ) form an L fuzzy topology and an L fuzzy co topology respectively. By using these concepts, a series of new characterizations of L fuzzy continuous mappings and L fuzzy open mappings are obtained.
出处
《纯粹数学与应用数学》
CSCD
1999年第1期82-85,共4页
Pure and Applied Mathematics
基金
山东省自然科学基金
关键词
LF拓扑学
模糊连续映射
开映射
LF连续映射
L fuzzy topology
stratified L fuzzy topology
L fuzzy continuous mapping
L fuzzy open mapping
fuzzy lattice.
