ON SOME SETS IN DIGITAL TOPOLOGY

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Abstract

The notions of strong and weak forms of open sets and closed sets in the digital line and digital plane have been used in digital image filtering techniques. The purpose of this paper is to characterize such sets in Digital Topology with special reference to b-closed sets and b-open sets. Key–Words:Digital topology, Khalimsky topology, b#-closed sets, b#-open sets.
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关于数字拓扑中的一些集合
数字直线和数字平面的开集和闭集的强弱形式的概念已被应用于数字图像滤波技术中。本文的目的是利用b-闭集和b-开集在数字拓扑中刻画这样的集合。关键词:数字拓扑,Khalimsky拓扑,b#-闭集,b#-开集。
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Poincare Journal of Analysis and Applications
Poincare Journal of Analysis and Applications Mathematics-Applied Mathematics
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