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On the neutrosophic soft set with rough set theory
Rough set is a very powerful invention to the whole world for dealing with uncertain, incomplete and imprecise problems. Also soft set theory and neutrosophic set theory are advance mathematical tools to handle these uncertain, incomplete, inconsistent information in a better way. The purpose of thi...
Autores principales: | , , |
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Formato: | Online Artículo Texto |
Lenguaje: | English |
Publicado: |
Springer Berlin Heidelberg
2021
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Materias: | |
Acceso en línea: | https://www.ncbi.nlm.nih.gov/pmc/articles/PMC8383033/ https://www.ncbi.nlm.nih.gov/pubmed/34456619 http://dx.doi.org/10.1007/s00500-021-06089-2 |
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author | Das, Minakhi Mohanty, Debadutta Parida, Kedar Chandra |
author_facet | Das, Minakhi Mohanty, Debadutta Parida, Kedar Chandra |
author_sort | Das, Minakhi |
collection | PubMed |
description | Rough set is a very powerful invention to the whole world for dealing with uncertain, incomplete and imprecise problems. Also soft set theory and neutrosophic set theory are advance mathematical tools to handle these uncertain, incomplete, inconsistent information in a better way. The purpose of this article is to expand the scope of rough set, soft set and neutrosophic set theory. We have introduced the concept of neutrosophic soft set with roughness without using full soft set. Some definitions, properties and examples have been established on neutrosophic soft rough set. Moreover, dispensable and equalities are written on roughness with neutrosophic soft set. |
format | Online Article Text |
id | pubmed-8383033 |
institution | National Center for Biotechnology Information |
language | English |
publishDate | 2021 |
publisher | Springer Berlin Heidelberg |
record_format | MEDLINE/PubMed |
spelling | pubmed-83830332021-08-24 On the neutrosophic soft set with rough set theory Das, Minakhi Mohanty, Debadutta Parida, Kedar Chandra Soft comput Mathematical Methods in Data Science Rough set is a very powerful invention to the whole world for dealing with uncertain, incomplete and imprecise problems. Also soft set theory and neutrosophic set theory are advance mathematical tools to handle these uncertain, incomplete, inconsistent information in a better way. The purpose of this article is to expand the scope of rough set, soft set and neutrosophic set theory. We have introduced the concept of neutrosophic soft set with roughness without using full soft set. Some definitions, properties and examples have been established on neutrosophic soft rough set. Moreover, dispensable and equalities are written on roughness with neutrosophic soft set. Springer Berlin Heidelberg 2021-08-24 2021 /pmc/articles/PMC8383033/ /pubmed/34456619 http://dx.doi.org/10.1007/s00500-021-06089-2 Text en © The Author(s), under exclusive licence to Springer-Verlag GmbH Germany, part of Springer Nature 2021 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 | Mathematical Methods in Data Science Das, Minakhi Mohanty, Debadutta Parida, Kedar Chandra On the neutrosophic soft set with rough set theory |
title | On the neutrosophic soft set with rough set theory |
title_full | On the neutrosophic soft set with rough set theory |
title_fullStr | On the neutrosophic soft set with rough set theory |
title_full_unstemmed | On the neutrosophic soft set with rough set theory |
title_short | On the neutrosophic soft set with rough set theory |
title_sort | on the neutrosophic soft set with rough set theory |
topic | Mathematical Methods in Data Science |
url | https://www.ncbi.nlm.nih.gov/pmc/articles/PMC8383033/ https://www.ncbi.nlm.nih.gov/pubmed/34456619 http://dx.doi.org/10.1007/s00500-021-06089-2 |
work_keys_str_mv | AT dasminakhi ontheneutrosophicsoftsetwithroughsettheory AT mohantydebadutta ontheneutrosophicsoftsetwithroughsettheory AT paridakedarchandra ontheneutrosophicsoftsetwithroughsettheory |