L-fuzzy保序算子空间的ω-基及其性质  

w-base and Its Properties in L-fuzzy Order-preserving Operator Spaces

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》2003年第3期143-145,共3页Journal of Jianghan Petroleum Institute

基　　金：福建省教育厅科技项目(JA02241)

摘　　要：在L-fuzzy保序算子空间中引入ω^-基、ω^-子基、ω^-远域基和ω^-远域子基等概念。系统地研究了ω^-基、ω^-子基、ω^-远城基和ω^-远城子基这些概念的性质以及它们之间的关系,同时给出了这些概念在刻画序同态的ω^-连续性以及分子网和理想的ω^-收敛性的若干应用。The concepts of ω base, ω subbase,ω R-neighborhoods subbase in L-fuzzy order-preserving operator spaces are introduced. Their properties and relationships between them are systematically discussed. Meanwhile, some applications in depicting ω continuity of order-homomorphism and ω convergence of molecular nets and ideals are given by them.

关 键 词：L-FUZZY保序算子空间 ω-基 ω-子基 ω-远域基 ω-远域子基 ω-开集 ω-闭集 序同态 

分 类 号：O189.11[理学—数学]