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Soft Covering Based Rough Sets and Their Application

Soft rough sets which are a hybrid model combining rough sets with soft sets are defined by using soft rough approximation operators. Soft rough sets can be seen as a generalized rough set model based on soft sets. The present paper aims to combine the covering soft set with rough set, which gives r...

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Detalles Bibliográficos
Autores principales: Yüksel, Şaziye, Güzel Ergül, Zehra, Tozlu, Naime
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Hindawi Publishing Corporation 2014
Materias:
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC4175389/
https://www.ncbi.nlm.nih.gov/pubmed/25295312
http://dx.doi.org/10.1155/2014/970893
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author Yüksel, Şaziye
Güzel Ergül, Zehra
Tozlu, Naime
author_facet Yüksel, Şaziye
Güzel Ergül, Zehra
Tozlu, Naime
author_sort Yüksel, Şaziye
collection PubMed
description Soft rough sets which are a hybrid model combining rough sets with soft sets are defined by using soft rough approximation operators. Soft rough sets can be seen as a generalized rough set model based on soft sets. The present paper aims to combine the covering soft set with rough set, which gives rise to the new kind of soft rough sets. Based on the covering soft sets, we establish soft covering approximation space and soft covering rough approximation operators and present their basic properties. We show that a new type of the soft covering upper approximation operator is smaller than soft upper approximation operator. Also we present an example in medicine which aims to find the patients with high prostate cancer risk. Our data are 78 patients from Selçuk University Meram Medicine Faculty.
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spelling pubmed-41753892014-10-07 Soft Covering Based Rough Sets and Their Application Yüksel, Şaziye Güzel Ergül, Zehra Tozlu, Naime ScientificWorldJournal Research Article Soft rough sets which are a hybrid model combining rough sets with soft sets are defined by using soft rough approximation operators. Soft rough sets can be seen as a generalized rough set model based on soft sets. The present paper aims to combine the covering soft set with rough set, which gives rise to the new kind of soft rough sets. Based on the covering soft sets, we establish soft covering approximation space and soft covering rough approximation operators and present their basic properties. We show that a new type of the soft covering upper approximation operator is smaller than soft upper approximation operator. Also we present an example in medicine which aims to find the patients with high prostate cancer risk. Our data are 78 patients from Selçuk University Meram Medicine Faculty. Hindawi Publishing Corporation 2014 2014-09-09 /pmc/articles/PMC4175389/ /pubmed/25295312 http://dx.doi.org/10.1155/2014/970893 Text en Copyright © 2014 Şaziye Yüksel et al. https://creativecommons.org/licenses/by/3.0/ This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
spellingShingle Research Article
Yüksel, Şaziye
Güzel Ergül, Zehra
Tozlu, Naime
Soft Covering Based Rough Sets and Their Application
title Soft Covering Based Rough Sets and Their Application
title_full Soft Covering Based Rough Sets and Their Application
title_fullStr Soft Covering Based Rough Sets and Their Application
title_full_unstemmed Soft Covering Based Rough Sets and Their Application
title_short Soft Covering Based Rough Sets and Their Application
title_sort soft covering based rough sets and their application
topic Research Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC4175389/
https://www.ncbi.nlm.nih.gov/pubmed/25295312
http://dx.doi.org/10.1155/2014/970893
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