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Fuzzy Upper Bounds in Groupoids

The notion of a fuzzy upper bound over a groupoid is introduced and some properties of it are investigated. We also define the notions of an either-or subset of a groupoid and a strong either-or subset of a groupoid and study some of their related properties. In particular, we consider fuzzy upper b...

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Detalles Bibliográficos
Autores principales: Ahn, Sun Shin, Kim, Young Hee, Neggers, J.
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Hindawi Publishing Corporation 2014
Materias:
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC4058160/
https://www.ncbi.nlm.nih.gov/pubmed/24982979
http://dx.doi.org/10.1155/2014/697012
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author Ahn, Sun Shin
Kim, Young Hee
Neggers, J.
author_facet Ahn, Sun Shin
Kim, Young Hee
Neggers, J.
author_sort Ahn, Sun Shin
collection PubMed
description The notion of a fuzzy upper bound over a groupoid is introduced and some properties of it are investigated. We also define the notions of an either-or subset of a groupoid and a strong either-or subset of a groupoid and study some of their related properties. In particular, we consider fuzzy upper bounds in Bin(X), where Bin(X) is the collection of all groupoids. Finally, we define a fuzzy-d-subset of a groupoid and investigate some of its properties.
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spelling pubmed-40581602014-06-30 Fuzzy Upper Bounds in Groupoids Ahn, Sun Shin Kim, Young Hee Neggers, J. ScientificWorldJournal Research Article The notion of a fuzzy upper bound over a groupoid is introduced and some properties of it are investigated. We also define the notions of an either-or subset of a groupoid and a strong either-or subset of a groupoid and study some of their related properties. In particular, we consider fuzzy upper bounds in Bin(X), where Bin(X) is the collection of all groupoids. Finally, we define a fuzzy-d-subset of a groupoid and investigate some of its properties. Hindawi Publishing Corporation 2014 2014-05-28 /pmc/articles/PMC4058160/ /pubmed/24982979 http://dx.doi.org/10.1155/2014/697012 Text en Copyright © 2014 Sun Shin Ahn 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
Ahn, Sun Shin
Kim, Young Hee
Neggers, J.
Fuzzy Upper Bounds in Groupoids
title Fuzzy Upper Bounds in Groupoids
title_full Fuzzy Upper Bounds in Groupoids
title_fullStr Fuzzy Upper Bounds in Groupoids
title_full_unstemmed Fuzzy Upper Bounds in Groupoids
title_short Fuzzy Upper Bounds in Groupoids
title_sort fuzzy upper bounds in groupoids
topic Research Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC4058160/
https://www.ncbi.nlm.nih.gov/pubmed/24982979
http://dx.doi.org/10.1155/2014/697012
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