L-fuzzy保序算子空间上的Moore-Smith收敛理论  

Moore-Smith Convergence Theory on 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：《集美大学学报（自然科学版）》2002年第3期271-277,共7页Journal of Jimei University：Natural Science

基　　金：福建省教育厅科技项目 (JA0 2 2 41 )

摘　　要：在L fuzzy保序算子空间上引入分子网和理想的ω 极限点和ω 聚点等概念 ,系统地讨论这些概念的基本性质以及它们之间的关系 .同时 ,利用分子网和理想的ω 收敛性概念 ,给出ω 闭集以及序同态的(ω1,ω2 ) 连续性的若干特征定理 .较为完整地建立L fuzzy保序算子空间上的Moore Smith收敛理论 .In this paper,the concepts of an ω-limit point and an ω-cluster point with respect to a molecular net and an ideal in an L-fuzzy order-preserving operator space are introduced. The characterizations of the concepts and the relations between them are systematically discussed.Meanwhile,some character theorems of ω-closed sets and (ω 1,ω 2)-continuous order-homomorphisms are given.Therefore,the Moore-Smith ω-convergence theory on an L-fuzzy order-preserving operator space is more entirely established.

关 键 词：L-FUZZY保序算子空间 Moore-Smith收敛理论 分子网 理想 ω-极限点 ω-聚点 ω-闭集 (ω1 ω2)-连续性 L-FUZZY拓扑空间 

分 类 号：O189.13[理学—数学]