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.
出处
《模糊系统与数学》
CSCD
北大核心
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)
