L-模糊SP-紧集(英文)  

L-fuzzy SP-compact Sets

作　　者：白世忠[1] 

机构地区：[1]五邑大学数学系,江门广东529020

出　　处：《数学进展》2004年第3期316-322,共7页Advances in Mathematics（China）

基　　金：The work is supported by the NNSF of China and NSF of Guangdong Province(No.10271069,021358)

摘　　要：本文在L-模糊拓扑空间引入了一种新的紧性—SP-紧性,给出了SP-紧性的α-网,α-滤子,r-SP-覆盖,,r^+-有限交性质等多种刻画。这种紧性是针对任意L-模糊子集来定义的,且保持了一般拓扑空间中紧性的许多好的性质。A new compactness which is L-fuzzy SP-compactness is introduced in L-fuzzy topological spaces. The SP-compactness is described with α-net, α-filter, r-SP-cover form and r^+-finite intersection property The SP-compactness is defined for arbitrary L-fuzzy subsets, and it preserves many good properties of compactness in general topological spaces.

关 键 词：L-模糊拓扑 模糊格 半准闭集 远域 SP-紧性 

分 类 号：O189[理学—数学]