Rough Sets Meet Statistics - A New View on Rough Set Reasoning About Numerical Data

In this paper, we present a new view on how the concept of rough sets may be interpreted in terms of statistics and used for reasoning about numerical data. We show that under specific assumptions, neighborhood based rough approximations may be seen as statistical estimations of certain and possible...

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Detalles Bibliográficos
Autores principales: Palangetić, Marko, Cornelis, Chris, Greco, Salvatore, Słowiński, Roman
Formato: Online Artículo Texto
Lenguaje:English
Publicado: 2020
Materias:
Article
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC7338170/
http://dx.doi.org/10.1007/978-3-030-52705-1_6
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author Palangetić, Marko
Cornelis, Chris
Greco, Salvatore
Słowiński, Roman
author_facet Palangetić, Marko
Cornelis, Chris
Greco, Salvatore
Słowiński, Roman
author_sort Palangetić, Marko
collection PubMed
description In this paper, we present a new view on how the concept of rough sets may be interpreted in terms of statistics and used for reasoning about numerical data. We show that under specific assumptions, neighborhood based rough approximations may be seen as statistical estimations of certain and possible events. We propose a way of choosing the optimal neighborhood size inspired by statistical theory. We also discuss possible directions for future research on the integration of rough sets and statistics.
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spelling pubmed-73381702020-07-07 Rough Sets Meet Statistics - A New View on Rough Set Reasoning About Numerical Data Palangetić, Marko Cornelis, Chris Greco, Salvatore Słowiński, Roman Rough Sets Article In this paper, we present a new view on how the concept of rough sets may be interpreted in terms of statistics and used for reasoning about numerical data. We show that under specific assumptions, neighborhood based rough approximations may be seen as statistical estimations of certain and possible events. We propose a way of choosing the optimal neighborhood size inspired by statistical theory. We also discuss possible directions for future research on the integration of rough sets and statistics. 2020-06-10 /pmc/articles/PMC7338170/ http://dx.doi.org/10.1007/978-3-030-52705-1_6 Text en © Springer Nature Switzerland AG 2020 This article is made available via the PMC Open Access Subset for unrestricted research re-use and secondary analysis in any form or by any means with acknowledgement of the original source. These permissions are granted for the duration of the World Health Organization (WHO) declaration of COVID-19 as a global pandemic.
spellingShingle Article
Palangetić, Marko
Cornelis, Chris
Greco, Salvatore
Słowiński, Roman
Rough Sets Meet Statistics - A New View on Rough Set Reasoning About Numerical Data
title Rough Sets Meet Statistics - A New View on Rough Set Reasoning About Numerical Data
title_full Rough Sets Meet Statistics - A New View on Rough Set Reasoning About Numerical Data
title_fullStr Rough Sets Meet Statistics - A New View on Rough Set Reasoning About Numerical Data
title_full_unstemmed Rough Sets Meet Statistics - A New View on Rough Set Reasoning About Numerical Data
title_short Rough Sets Meet Statistics - A New View on Rough Set Reasoning About Numerical Data
title_sort rough sets meet statistics - a new view on rough set reasoning about numerical data
topic Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC7338170/
http://dx.doi.org/10.1007/978-3-030-52705-1_6
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AT grecosalvatore roughsetsmeetstatisticsanewviewonroughsetreasoningaboutnumericaldata
AT słowinskiroman roughsetsmeetstatisticsanewviewonroughsetreasoningaboutnumericaldata

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