基于覆盖粗糙集的拓扑性质

Fourth International Conference on Fuzzy Systems and Knowledge Discovery (FSKD 2007) Pub Date : 2007-08-24 DOI:10.1109/FSKD.2007.592

William Zhu, Fei-Yue Wang

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引用次数: 21

摘要

在覆盖设置中，文献中粗糙集模型有五种类型，但从拓扑的角度只对其中一种进行了研究。在本文中，我们讨论了另外四种基于覆盖的粗糙集的拓扑性质;特别给出了下逼近运算成为内算子的条件和上逼近运算成为闭包算子的条件。

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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Topological Properties in Covering-Based Rough Sets

In covering setting, there are five types of rough set models in literature, but only one type of them has been studied from the point of topological view. In this paper, we address the topological properties in the other four types of covering-based rough sets; especially we present the conditions under which lower approximation operations become interior operators and the conditions under which the upper approximation operations become closure operators.

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Fourth International Conference on Fuzzy Systems and Knowledge Discovery (FSKD 2007)

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