I-Fuzzy拓扑空间中的可数性  

Countabilities in I-fuzzy Topological Spaces

作　　者：李清华[1] 方进明[2] 

机构地区：[1]烟台大学数学系,山东烟台264005 [2]中国海洋大学数学系,山东青岛266071

出　　处：《模糊系统与数学》2005年第3期71-75,共5页Fuzzy Systems and Mathematics

基　　金：山东自然科学基金资助项目(Q99A02)

摘　　要：引入I-fuzzy拓扑空间中的I-fuzzy第一可数性,I-fuzzy第二可数性,I-fuzzy稠密性,I-fuzzy可分性,I-fuzzyLindelo¨f性等概念。界定了它们的本质性质,并讨论了它们之间的关系,还给出了第一可数I-fuzzy拓扑空间中的映射连续性的序列刻画。In this paper, we introduce the concepts of I- fuzzy first-countability, I- fuzzy secondcountability, I- fuzzy density, I- fuzzy separability and I- fuzzy Lindelo^-f property and study their characteristic properties and their connections. Moreover, we characterize the continuous map by convergence of sequences in I- fuzzy topological space with I- fuzzy first-countability.

关 键 词：I-fuzzy 拓扑空间 I—fuzzy第一可数性 I—fuzzy第二可数性 I—fuzzy稠密性 I—fuzzy可分性 I—fuzzy Lindelof性 

分 类 号：O159[理学—数学]