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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...
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/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. |
format | Online Article Text |
id | pubmed-4058160 |
institution | National Center for Biotechnology Information |
language | English |
publishDate | 2014 |
publisher | Hindawi Publishing Corporation |
record_format | MEDLINE/PubMed |
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 |
work_keys_str_mv | AT ahnsunshin fuzzyupperboundsingroupoids AT kimyounghee fuzzyupperboundsingroupoids AT neggersj fuzzyupperboundsingroupoids |