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

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.