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Approach Merotopies and Associated Near Sets

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Author(s): James Peters | Surabhi Tiwari | Rashmi Singh

Journal: Theory and Applications of Mathematics & Computer Science
ISSN 2067-2764

Volume: 3;
Issue: 1;
Start page: 1;
Date: 2013;
Original page

Keywords: Approach space | associated set | p-containment | merotopy | near sets

ABSTRACT
This article introduces associated near sets of a collection of sets. The proposed approach introduces a means of defining as well as describing an ε-approach merotopy in terms of the members of associated sets of collections that are sufficiently near. A characterization for continuous functions is established using associated near sets. This article also introduces p-containment considered in the context of near sets. An application of the proposed approach is given in terms of digital image classification.
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