L-fuzzy拓扑空间中的近似超紧性

The Nearly Ultra-fuzzy Compactness in L-fuzzy Topological Spaces

利用相关远域族的概念介绍一种近似超紧性,讨论它与超紧性以及近似良紧性之间的关系,证明它具有正则闭遗传、有限可和、弱拓扑不变和乘积性等性质,并对它进行网式和滤子式刻画。

<Abstrcat> In this paper, the nearly ultra-fuzzy compactness is introdeced in L-fuzzy topological (spaces) by the concepts of relative-R-neighborhood family. The relationships between this compactness and the other compactness are discussed. It possesses almost all the properties such as hereditary with (respect) to regular closed subsets,weakly topoligical property and the product theorem. The (characterizations) of it are obtained.