On Abelian and Related Fuzzy Subsets of Groupoids

We introduce the notion of abelian fuzzy subsets on a groupoid, and we observe a variety of consequences which follow. New notions include, among others, diagonal symmetric relations, several types of quasi orders, convex sets, and fuzzy centers, some of whose properties are also investigated.

Detalles Bibliográficos
Autores principales: Shin, Seung Joon, Kim, Hee Sik, Neggers, J.
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Hindawi Publishing Corporation 2013
Materias:
Research Article
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC3830823/
https://www.ncbi.nlm.nih.gov/pubmed/24285936
http://dx.doi.org/10.1155/2013/476057
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author Shin, Seung Joon
Kim, Hee Sik
Neggers, J.
author_facet Shin, Seung Joon
Kim, Hee Sik
Neggers, J.
author_sort Shin, Seung Joon
collection PubMed
description We introduce the notion of abelian fuzzy subsets on a groupoid, and we observe a variety of consequences which follow. New notions include, among others, diagonal symmetric relations, several types of quasi orders, convex sets, and fuzzy centers, some of whose properties are also investigated.
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spelling pubmed-38308232013-11-27 On Abelian and Related Fuzzy Subsets of Groupoids Shin, Seung Joon Kim, Hee Sik Neggers, J. ScientificWorldJournal Research Article We introduce the notion of abelian fuzzy subsets on a groupoid, and we observe a variety of consequences which follow. New notions include, among others, diagonal symmetric relations, several types of quasi orders, convex sets, and fuzzy centers, some of whose properties are also investigated. Hindawi Publishing Corporation 2013-10-29 /pmc/articles/PMC3830823/ /pubmed/24285936 http://dx.doi.org/10.1155/2013/476057 Text en Copyright © 2013 Seung Joon Shin 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
Shin, Seung Joon
Kim, Hee Sik
Neggers, J.
On Abelian and Related Fuzzy Subsets of Groupoids
title On Abelian and Related Fuzzy Subsets of Groupoids
title_full On Abelian and Related Fuzzy Subsets of Groupoids
title_fullStr On Abelian and Related Fuzzy Subsets of Groupoids
title_full_unstemmed On Abelian and Related Fuzzy Subsets of Groupoids
title_short On Abelian and Related Fuzzy Subsets of Groupoids
title_sort on abelian and related fuzzy subsets of groupoids
topic Research Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC3830823/
https://www.ncbi.nlm.nih.gov/pubmed/24285936
http://dx.doi.org/10.1155/2013/476057
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