L-fuzzy拓扑空间中α-开运算及α-紧性

摘要

给出了 L-fuzzy 拓扑空间中 L-fuzzyα-开运算的定义。然后借助 L-fuzzy α-开运算给出 L-fuzzy 拓扑空间中 L-fuzzy α-紧的定义；其次给出 L-拓扑空间中开覆盖及 fuzzy α-紧的定义；并分别得到了一些相关性质；最后讨论了 L-fuzzy 拓扑空间中L-fuzzy α-紧与L-拓扑空间中fuzzy α-紧之间的关系。%In this paper,we give the concept of L-fuzzyα-open operator in L-fuzzy topological spaces and use it to obtain L-fuzzy α-compactness in L-fuzzy topological spaces. Moreover we give the concept of open cover and a-fuzzyα-compact in L-topological spaces and its related properties. Finally, We also study the relationship between L-fuzzyα-compactness and fuzzyα-compactness in L-topological spaces.