$L$-Fuzzy拓扑空间中的可数紧性度和Lindel\"{o}f性质度

Measures of Countable Compactness and the Lindel\"{o}f Property in $L$-Fuzzy Topological Spaces

中文关键词:  $L$-fuzzy拓扑  可数紧性  Lindel\"{o}f性质  蕴含算子  模糊紧性度

英文关键词:$L$-fuzzy topology  countable compactness  Lindel\"{o}f property  implication operator  fuzzy compactness degree

中文摘要:

      本文借助于蕴含算子``$\mapsto$',在$L$-fuzzy拓扑空间中,提出了可数紧性度和Lindel\"{o}f性质度的概念,并研究了它们的诸多性质.

英文摘要:

      In this paper, the concept of countable compactness degree and the concept of Lindel\"{o}f property degree are defined in $L$-fuzzy topological spaces by means of implication operator $\mapsto$. Many properties of them are discussed.