L-fuzzy集值映射的连续性  

Continuity of L-fuzzy Set Valued Mappings

作　　者：陈水利[1] 

机构地区：[1]集美大学数学系,福建厦门361021

出　　处：《江汉石油学院学报》2001年第1期75-78,共4页Journal of Jianghan Petroleum Institute

基　　金：集美大学科研基金资助项目

摘　　要：在 L-fuzzy拓扑空间中引入 L-fuzzy上 (下 )拓扑、 L-fuzzy Vietoris拓扑、 L-fuzzy上 (下 )连续和L-fuzzy连续集值映射等概念。研究了这 3种 L-fuzzy拓扑的基本性质 ,给出 L-fuzzy集值映射的上连续性、下连续性和连续性的The concepts of L fuzzy upper(lower,Vietoris) topology,upper(lower) continuity and L fuzzy continuity of L fuzzy set valued mappings in L fuzzy topological spaces are introduced Some basic properties of the three L fuzzy topologies are discussed Six character theorems respecting upper(lower) continuous and continuous L fuzzy set valued mappings and their operation properties are given as well

关 键 词：L-fuzzy 拓扑 L-fuzzy集植映射 连续性 

分 类 号：O189.13[理学—数学]