模糊拓扑空间中的收敛性

General Topology and its Applications Pub Date : 1979-05-01 DOI:10.1016/0016-660X(79)90004-7

R. Lowen

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引用次数: 180

摘要

在第一段中，我们研究格IX中的滤波器，其中I是单位区间，X是任意集合。本节的主要结果是用x上的超滤子表征包含x上给定滤子的x中的最小素滤子。在第二段中，我们应用前一节的结果来定义模糊拓扑空间中的收敛性，使我们能够表征模糊紧性和模糊连续性。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Convergence in fuzzy topological spaces

In the first paragraph we study filters in the lattice I^X, where I is the unitinterval and X an arbitrary set. The main result of this section is a characterization of minimal prime filters in I^X containing a given filter in I^X by means of ultrafilters on X.

In the second paragraph we apply the results of the previous section to define convergence in a fuzzy topological space which enables us to characterize fuzzy compactness and fuzzy continuity.

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