(M, N)-Soft Intersection BL-Algebras and Their Congruences

The purpose of this paper is to give a foundation for providing a new soft algebraic tool in considering many problems containing uncertainties. In order to provide these new soft algebraic structures, we discuss a new soft set-(M, N)-soft intersection set, which is a generalization of soft intersec...

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Detalles Bibliográficos
Autores principales: Ma, Xueling, Kim, Hee Sik
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/PMC3995310/
https://www.ncbi.nlm.nih.gov/pubmed/24977197
http://dx.doi.org/10.1155/2014/461060
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author Ma, Xueling
Kim, Hee Sik
author_facet Ma, Xueling
Kim, Hee Sik
author_sort Ma, Xueling
collection PubMed
description The purpose of this paper is to give a foundation for providing a new soft algebraic tool in considering many problems containing uncertainties. In order to provide these new soft algebraic structures, we discuss a new soft set-(M, N)-soft intersection set, which is a generalization of soft intersection sets. We introduce the concepts of (M, N)-SI filters of BL-algebras and establish some characterizations. Especially, (M, N)-soft congruences in BL-algebras are concerned.
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spelling pubmed-39953102014-06-29 (M, N)-Soft Intersection BL-Algebras and Their Congruences Ma, Xueling Kim, Hee Sik ScientificWorldJournal Research Article The purpose of this paper is to give a foundation for providing a new soft algebraic tool in considering many problems containing uncertainties. In order to provide these new soft algebraic structures, we discuss a new soft set-(M, N)-soft intersection set, which is a generalization of soft intersection sets. We introduce the concepts of (M, N)-SI filters of BL-algebras and establish some characterizations. Especially, (M, N)-soft congruences in BL-algebras are concerned. Hindawi Publishing Corporation 2014 2014-04-01 /pmc/articles/PMC3995310/ /pubmed/24977197 http://dx.doi.org/10.1155/2014/461060 Text en Copyright © 2014 X. Ma and H. S. Kim. 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
Ma, Xueling
Kim, Hee Sik
(M, N)-Soft Intersection BL-Algebras and Their Congruences
title (M, N)-Soft Intersection BL-Algebras and Their Congruences
title_full (M, N)-Soft Intersection BL-Algebras and Their Congruences
title_fullStr (M, N)-Soft Intersection BL-Algebras and Their Congruences
title_full_unstemmed (M, N)-Soft Intersection BL-Algebras and Their Congruences
title_short (M, N)-Soft Intersection BL-Algebras and Their Congruences
title_sort (m, n)-soft intersection bl-algebras and their congruences
topic Research Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC3995310/
https://www.ncbi.nlm.nih.gov/pubmed/24977197
http://dx.doi.org/10.1155/2014/461060
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AT kimheesik mnsoftintersectionblalgebrasandtheircongruences

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