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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...
Autores principales: | , , |
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Formato: | Online Artículo Texto |
Lenguaje: | English |
Publicado: |
Hindawi Publishing Corporation
2014
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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. |
format | Online Article Text |
id | pubmed-4175389 |
institution | National Center for Biotechnology Information |
language | English |
publishDate | 2014 |
publisher | Hindawi Publishing Corporation |
record_format | MEDLINE/PubMed |
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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