模糊格中理想的σ-收敛性  

σ Convergence of Ideals in Fuzzy Lattices

作　　者：陈水利[1] 吴介儒[2] 

机构地区：[1]江汉石油学院基础科学系,湖北荆州434102 [2]武汉城市建设学院基础科学系,湖北武汉430074

出　　处：《武汉城市建设学院学报》1999年第4期43-47,共5页Journal of Wuhan Urban Construction Institute

基　　金：湖北省自然科学基金!(98J078)

摘　　要：在模糊格中引入理想的σ极限点和σ聚点等概念，研究了理想的σ收敛性与分子网的σ收敛性之间的关系及其应用，建立了完整的理想的收敛理论，此理论不仅在格上拓扑学的研究中具有重要意义，而且在模糊推理规则的研究方面富有广阔的应用前景．The concepts of σ? limit points and σ? cluster points of ideals in a fuzzy lattice are introduced.The relationships between σ? convergence of ideals and molecular nets and their application are discussed.A complete σ? convergence theory of ideals is established.The theory has not only important meaning in studying topology on lattices but also extensive foreground in researching rule of fuzzy reasoning.

关 键 词：模糊格 理论 σ-收敛性 分子网 

分 类 号：O159[理学—数学] O157.5[理学—基础数学]