i -粗糙拓扑空间

Int. J. Rough Sets Data Anal. Pub Date : 2012-10-26 DOI:10.4018/IJRSDA.2016010106

Boby P. Mathew, S. J. John

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引用次数: 10

摘要

rough集合理论是处理不完全和不精确数据的数学工具，而拓扑学是研究空间在拓扑变换下的不变性，即同胚。本文试图建立粗糙集上的一般拓扑结构。我们在粗糙集上定义了粗糙拓扑，并研究了由此产生的粗糙拓扑空间(RTS)的一些基本拓扑性质，如粗糙开集、粗糙闭集、粗糙基和粗糙闭包等。

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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I-Rough Topological Spaces

R ough set theory is a mathematical tool to deal with incomplete and imprecise data and topology is the study of invariance of a space under topological transformations known as homeomorphisms. In this paper an attempt is made to develop general topological structure on rough sets. We defined rough topology on a rough set and some basic topological properties of the resultant Rough Topological Spaces (RTS), such as rough open sets, rough closed sets, rough base and rough closure, etc. are studied.

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Int. J. Rough Sets Data Anal.

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