Classes of Int-Soft Filters in Residuated Lattices

The notions of int-soft filters, int-soft G-filters, regular int-soft filters, and MV-int-soft filters in residuated lattices are introduced, and their relations, properties, and characterizations are investigated. Conditions for an int-soft filter to be an int-soft G-filter, a regular int-soft filt...

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Detalles Bibliográficos
Autores principales: Jun, Young Bae, Ahn, Sun Shin, Lee, Kyoung Ja
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/PMC4163402/
https://www.ncbi.nlm.nih.gov/pubmed/25243219
http://dx.doi.org/10.1155/2014/595160
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author Jun, Young Bae
Ahn, Sun Shin
Lee, Kyoung Ja
author_facet Jun, Young Bae
Ahn, Sun Shin
Lee, Kyoung Ja
author_sort Jun, Young Bae
collection PubMed
description The notions of int-soft filters, int-soft G-filters, regular int-soft filters, and MV-int-soft filters in residuated lattices are introduced, and their relations, properties, and characterizations are investigated. Conditions for an int-soft filter to be an int-soft G-filter, a regular int-soft filter, or an MV-int-soft filter are provided. The extension property for an int-soft G-filter is discussed. Finally, it is shown that the notion of an MV-int-soft filter coincides with the notion of a regular int-soft filter in BL-algebras.
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spelling pubmed-41634022014-09-21 Classes of Int-Soft Filters in Residuated Lattices Jun, Young Bae Ahn, Sun Shin Lee, Kyoung Ja ScientificWorldJournal Research Article The notions of int-soft filters, int-soft G-filters, regular int-soft filters, and MV-int-soft filters in residuated lattices are introduced, and their relations, properties, and characterizations are investigated. Conditions for an int-soft filter to be an int-soft G-filter, a regular int-soft filter, or an MV-int-soft filter are provided. The extension property for an int-soft G-filter is discussed. Finally, it is shown that the notion of an MV-int-soft filter coincides with the notion of a regular int-soft filter in BL-algebras. Hindawi Publishing Corporation 2014 2014-08-27 /pmc/articles/PMC4163402/ /pubmed/25243219 http://dx.doi.org/10.1155/2014/595160 Text en Copyright © 2014 Young Bae Jun 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
Jun, Young Bae
Ahn, Sun Shin
Lee, Kyoung Ja
Classes of Int-Soft Filters in Residuated Lattices
title Classes of Int-Soft Filters in Residuated Lattices
title_full Classes of Int-Soft Filters in Residuated Lattices
title_fullStr Classes of Int-Soft Filters in Residuated Lattices
title_full_unstemmed Classes of Int-Soft Filters in Residuated Lattices
title_short Classes of Int-Soft Filters in Residuated Lattices
title_sort classes of int-soft filters in residuated lattices
topic Research Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC4163402/
https://www.ncbi.nlm.nih.gov/pubmed/25243219
http://dx.doi.org/10.1155/2014/595160
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