L-拓扑空间的相对近似模糊紧集及其性质

The relative near fuzzy compactness and their properties in L-Topological spaces

当L是完备格的DeMorgan代数时定义了L-拓扑空间的相对近似模糊紧性。讨论了相对近似模糊紧性与近似模糊紧性之间的关系,并用网和覆盖等工具对相对近似模糊紧性进行了刻画,研究了相对近似模糊紧性的性质。证明了相对近似模糊紧性的闭遗传性等性质。给出了相对近似模糊紧性的若干等价刻画。

The concept of relative near fuzzy compactness is introduced in L-topological spaces. For L, a complete DeMorgan algebra is defined, Relations between relative near fuzzy compactness and near fuzzy compactness were discussed. Some characteristic theorems of relative near compactness were given in term of nets and covers. Finally, some properties of relative near fuzzy compactness were presented.