作 者: ;
机构地区: 五邑大学数学与计算科学学院数学系
出 处: 《数学进展》 2004年第3期316-322,共7页
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.