模糊β-N-紧性(英文)

FUZZY β-N-COMPACTNESS

本文研究了在L-拓扑空间中引入β-N-紧性概念.借助于β-开a-覆盖和β-开强a-覆盖,得到β-N-紧的L-集合是N-紧的.β-闭的L-集合和β-N-紧的L-集合的交是β-N-紧的.并且证明了β-N-紧性是一般拓扑中β-紧性的良性扩张.

In this paper, we introduce the concept of β-N-compacmess in L-topological spaces. By means of the notions of β-open a-shading andβ-open strong a-shading,we obtain the following results.. A β-N-compact L-set is N-compact. The intersection of aβ-closed L-set and a fi- N-compact L-set is β-N-compact. It is proved that β-N-compacmess is a good extension of β-compactness in general topology.