摘要
在L-拓扑空间中定义了L-子集的几乎超紧性,讨论了几乎超紧L-子集的性质以及L-子集的几乎超紧性与超紧性、近似超紧性及几乎良紧性之间的关系,给出了几乎超紧L-子集的网式及滤子刻画并证明了L-拓扑空间的几乎超紧性是几乎紧性的"L-推广"。
In this paper, almost ultra-fuzzy compactness of L-sets is introduced in L-topological spaces, and properties of almost ultra-fuzzy compact L-sets and relationships between this kind compactness and other kinds of fuzzy compactness are discussed. Almost ultra-fuzzy compact L-sets are characterized in terms of net or filter. It is proved that almost ultra-fuzzy compactness is an L-extension.
出处
《模糊系统与数学》
CSCD
北大核心
2012年第2期1-6,共6页
Fuzzy Systems and Mathematics
关键词
几乎超紧性
α-相关远域族
几乎α-相关远域族
Α-网
α-滤子
Almost Ultra-fuzzy Compactness
α-relative R-neighborhood
Almost α-relative R-neighborhood
α-net
α-filter
