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Relations in the context of Turiyam sets

OBJECTIVE: Recently, the Turiyam set was introduced as an extension of the neutrosophic set to handle the uncertainty data set beyond its truth, indeterminacy and falsity values. This article introduced the Cartesian product of Turiyam sets and Turiyam relations. Further, we defined operations on Tu...

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Autores principales: Ganati, Gamachu Adugna, Srinivasa Rao Repalle, V. N., Ashebo, Mamo Abebe
Formato: Online Artículo Texto
Lenguaje:English
Publicado: BioMed Central 2023
Materias:
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC10084698/
https://www.ncbi.nlm.nih.gov/pubmed/37032345
http://dx.doi.org/10.1186/s13104-023-06292-4
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author Ganati, Gamachu Adugna
Srinivasa Rao Repalle, V. N.
Ashebo, Mamo Abebe
author_facet Ganati, Gamachu Adugna
Srinivasa Rao Repalle, V. N.
Ashebo, Mamo Abebe
author_sort Ganati, Gamachu Adugna
collection PubMed
description OBJECTIVE: Recently, the Turiyam set was introduced as an extension of the neutrosophic set to handle the uncertainty data set beyond its truth, indeterminacy and falsity values. This article introduced the Cartesian product of Turiyam sets and Turiyam relations. Further, we defined operations on Turiyam relations as well as discussed the inverse and types of Turiyam relations. RESULTS: The Cartesian product of Turiyam sets, Turiyam relations, inverse Turiyam relation and types of Turiyam relations are stated and their properties are derived. Furthermore, examples are given to clarify some concepts.
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spelling pubmed-100846982023-04-11 Relations in the context of Turiyam sets Ganati, Gamachu Adugna Srinivasa Rao Repalle, V. N. Ashebo, Mamo Abebe BMC Res Notes Research Note OBJECTIVE: Recently, the Turiyam set was introduced as an extension of the neutrosophic set to handle the uncertainty data set beyond its truth, indeterminacy and falsity values. This article introduced the Cartesian product of Turiyam sets and Turiyam relations. Further, we defined operations on Turiyam relations as well as discussed the inverse and types of Turiyam relations. RESULTS: The Cartesian product of Turiyam sets, Turiyam relations, inverse Turiyam relation and types of Turiyam relations are stated and their properties are derived. Furthermore, examples are given to clarify some concepts. BioMed Central 2023-04-09 /pmc/articles/PMC10084698/ /pubmed/37032345 http://dx.doi.org/10.1186/s13104-023-06292-4 Text en © The Author(s) 2023 https://creativecommons.org/licenses/by/4.0/Open AccessThis article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons licence, and indicate if changes were made. The images or other third party material in this article are included in the article's Creative Commons licence, unless indicated otherwise in a credit line to the material. If material is not included in the article's Creative Commons licence and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder. To view a copy of this licence, visit http://creativecommons.org/licenses/by/4.0/ (https://creativecommons.org/licenses/by/4.0/) . The Creative Commons Public Domain Dedication waiver (http://creativecommons.org/publicdomain/zero/1.0/ (https://creativecommons.org/publicdomain/zero/1.0/) ) applies to the data made available in this article, unless otherwise stated in a credit line to the data.
spellingShingle Research Note
Ganati, Gamachu Adugna
Srinivasa Rao Repalle, V. N.
Ashebo, Mamo Abebe
Relations in the context of Turiyam sets
title Relations in the context of Turiyam sets
title_full Relations in the context of Turiyam sets
title_fullStr Relations in the context of Turiyam sets
title_full_unstemmed Relations in the context of Turiyam sets
title_short Relations in the context of Turiyam sets
title_sort relations in the context of turiyam sets
topic Research Note
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC10084698/
https://www.ncbi.nlm.nih.gov/pubmed/37032345
http://dx.doi.org/10.1186/s13104-023-06292-4
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