L-fuzzy层保序算子空间中的层连通性  

L-fuzzy Stratified Order-preserving Operator Space and Stratified Connectedness

作　　者：吴修云[1] 

机构地区：[1]湖南科技学院数学系,湖南永州425100

出　　处：《模糊系统与数学》2011年第5期34-37,共4页Fuzzy Systems and Mathematics

基　　金：湖南科技学院青年课题(11XKYTB038)

摘　　要：在[6]中引入ωα-闭集的基础上,引入ωα-连通,讨论其主要的拓扑性质,说明在层保序算子空间中樊矶定理仍然成立。另外,文中建立了两种不同层保序算子之间的关系,给出两种定义的等价条件。Based on the concept ofωα-closed set introduced in [6],the paper introduces the concept ofωα-connectedness.It main topological properties are discussed.The K.Fan’s theorem in stratified order preserving operator spaces still holds.The relations between the two different stratified connectedness is established,and equivalent condition between the two concepts is reached.

关 键 词：ωα-闭集 (ω1α ω2α)-连续 ωα-连通 α-ωα-连通 

分 类 号：O189[理学—数学]