模糊连续映射和开映射的新特征  

NEW CHARACTERIZATIONS FOR L FUZZY CONTINUOUS MAPPINGS AND OPEN MAPPINGS

作　　者：张兴芳[1] 孟广武[1] 

机构地区：[1]聊城师范学院数学系

出　　处：《纯粹数学与应用数学》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

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.

关 键 词：LF拓扑学 模糊连续映射 开映射 LF连续映射 

分 类 号：O159[理学—数学] O189.1[理学—基础数学]