Subalgebras of BCK/BCI-Algebras Based on Cubic Soft Sets

Operations of cubic soft sets including “AND” operation and “OR” operation based on P-orders and R-orders are introduced and some related properties are investigated. An example is presented to show that the R-union of two internal cubic soft sets might not be internal. A sufficient condition is pro...

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Detalles Bibliográficos
Autores principales: Muhiuddin, G., Feng, Feng, Jun, Young Bae
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Hindawi Publishing Corporation 2014
Materias:
Research Article
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC4034581/
https://www.ncbi.nlm.nih.gov/pubmed/24895652
http://dx.doi.org/10.1155/2014/458638
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author Muhiuddin, G.
Feng, Feng
Jun, Young Bae
author_facet Muhiuddin, G.
Feng, Feng
Jun, Young Bae
author_sort Muhiuddin, G.
collection PubMed
description Operations of cubic soft sets including “AND” operation and “OR” operation based on P-orders and R-orders are introduced and some related properties are investigated. An example is presented to show that the R-union of two internal cubic soft sets might not be internal. A sufficient condition is provided, which ensure that the R-union of two internal cubic soft sets is also internal. Moreover, some properties of cubic soft subalgebras of BCK/BCI-algebras based on a given parameter are discussed.
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spelling pubmed-40345812014-06-03 Subalgebras of BCK/BCI-Algebras Based on Cubic Soft Sets Muhiuddin, G. Feng, Feng Jun, Young Bae ScientificWorldJournal Research Article Operations of cubic soft sets including “AND” operation and “OR” operation based on P-orders and R-orders are introduced and some related properties are investigated. An example is presented to show that the R-union of two internal cubic soft sets might not be internal. A sufficient condition is provided, which ensure that the R-union of two internal cubic soft sets is also internal. Moreover, some properties of cubic soft subalgebras of BCK/BCI-algebras based on a given parameter are discussed. Hindawi Publishing Corporation 2014 2014-05-08 /pmc/articles/PMC4034581/ /pubmed/24895652 http://dx.doi.org/10.1155/2014/458638 Text en Copyright © 2014 G. Muhiuddin 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
Muhiuddin, G.
Feng, Feng
Jun, Young Bae
Subalgebras of BCK/BCI-Algebras Based on Cubic Soft Sets
title Subalgebras of BCK/BCI-Algebras Based on Cubic Soft Sets
title_full Subalgebras of BCK/BCI-Algebras Based on Cubic Soft Sets
title_fullStr Subalgebras of BCK/BCI-Algebras Based on Cubic Soft Sets
title_full_unstemmed Subalgebras of BCK/BCI-Algebras Based on Cubic Soft Sets
title_short Subalgebras of BCK/BCI-Algebras Based on Cubic Soft Sets
title_sort subalgebras of bck/bci-algebras based on cubic soft sets
topic Research Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC4034581/
https://www.ncbi.nlm.nih.gov/pubmed/24895652
http://dx.doi.org/10.1155/2014/458638
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