摘要
给定不分明拓扑η．证明了每个层次闭集族恰好形成一个新的不分明拓扑．称之为η的不分明层次拓扑．并讨论了其基本性质。揭示了层次诱导拓扑与不分明层次拓扑之间的内在联系．提出了判定拓扑性质是否理想的标准，并证明了良紧性、Ｌｏｗｅｎ紧性、三种层分离性及稠密性等均为理想的拓扑性质。
Given an L-fuzzy co-topology η.it is porved that each family of L- fuzzy strtiform closed sets just forms a new L-fuzzy co-topology .and it is called an L-fuzzy stratiform topology of η.then its basic properties are discrssed.The relation are exposed between straliform induced topologies and L-fuzzy stratiform topologies. A standard is presented which judge whether an L -fuzzy topological property is reasonable or not.and they are reasonable are proved that N-compactness. Lowen's compactness. three stratiform separatioms (Hausdorff. regular. norm ) and stratiform density etc.
出处
《宝鸡文理学院学报（自然科学版）》
CAS
1996年第1期1-4,10,共5页
Journal of Baoji University of Arts and Sciences(Natural Science Edition)
关键词
不分明拓扑学
层次闭集
不分明层次拓扑
良紧性
L-fuzzy topology
Stratiform closed set
L-fuzzy stratiform toplolgy
Reasonable topological property
N-compactness
Stratiform separation
Stratiform density
fuzzy lattice
