L-拓扑空间中的几乎超紧L-子集  

Almost Ultra-fuzzy Compact L-subsets in L-topological Spaces

作　　者：杨文华[1] 李生刚[1] 

机构地区：[1]陕西师范大学数学与信息科学学院,陕西西安710062

出　　处：《模糊系统与数学》2012年第2期1-6,共6页Fuzzy Systems and Mathematics

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.

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 

分 类 号：O189[理学—数学]