不分明拓扑的不分明层次拓扑  

L-FUZZY STRATIFORM TOPOLOGIE OF L-FUZZY TOPOLOGIES

作　　者：张兴芳 郑亚林[1] 

机构地区：[1]聊城教育学院数学系,宝鸡文理学院数学系

出　　处：《宝鸡文理学院学报（自然科学版）》1996年第1期1-4,10,共5页Journal of Baoji University of Arts and Sciences(Natural Science Edition)

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.

关 键 词：不分明拓扑学 层次闭集 不分明层次拓扑 良紧性 

分 类 号：O189[理学—数学]