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On twelve types of covering-based rough sets

Covering approximation spaces are a generalization of equivalence-based rough set theories. In this paper, we will consider twelve types of covering based approximation operators by combining four types of covering lower approximation operators and three types of covering upper approximation operato...

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Detalles Bibliográficos
Autores principales: Safari, Samira, Hooshmandasl, Mohammad Reza
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer International Publishing 2016
Materias:
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC4937015/
https://www.ncbi.nlm.nih.gov/pubmed/27441129
http://dx.doi.org/10.1186/s40064-016-2670-y
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author Safari, Samira
Hooshmandasl, Mohammad Reza
author_facet Safari, Samira
Hooshmandasl, Mohammad Reza
author_sort Safari, Samira
collection PubMed
description Covering approximation spaces are a generalization of equivalence-based rough set theories. In this paper, we will consider twelve types of covering based approximation operators by combining four types of covering lower approximation operators and three types of covering upper approximation operators. Then, we will study the properties of these new pairs and show they have most of the common properties among existing covering approximation pairs. Finally, the relation between these new pairs is studied.
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spelling pubmed-49370152016-07-20 On twelve types of covering-based rough sets Safari, Samira Hooshmandasl, Mohammad Reza Springerplus Research Covering approximation spaces are a generalization of equivalence-based rough set theories. In this paper, we will consider twelve types of covering based approximation operators by combining four types of covering lower approximation operators and three types of covering upper approximation operators. Then, we will study the properties of these new pairs and show they have most of the common properties among existing covering approximation pairs. Finally, the relation between these new pairs is studied. Springer International Publishing 2016-07-07 /pmc/articles/PMC4937015/ /pubmed/27441129 http://dx.doi.org/10.1186/s40064-016-2670-y Text en © The Author(s) 2016 Open AccessThis article is distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution, and reproduction in any medium, provided you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made.
spellingShingle Research
Safari, Samira
Hooshmandasl, Mohammad Reza
On twelve types of covering-based rough sets
title On twelve types of covering-based rough sets
title_full On twelve types of covering-based rough sets
title_fullStr On twelve types of covering-based rough sets
title_full_unstemmed On twelve types of covering-based rough sets
title_short On twelve types of covering-based rough sets
title_sort on twelve types of covering-based rough sets
topic Research
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC4937015/
https://www.ncbi.nlm.nih.gov/pubmed/27441129
http://dx.doi.org/10.1186/s40064-016-2670-y
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