A New Extended Soft Intersection Set to (M, N)-SI Implicative Fitters of BL-Algebras

Molodtsov's soft set theory provides a general mathematical framework for dealing with uncertainty. The concepts of (M, N)-SI implicative (Boolean) filters of BL-algebras are introduced. Some good examples are explored. The relationships between (M, N)-SI filters and (M, N)-SI implicative filte...

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Detalles Bibliográficos
Autores principales: Zhan, Jianming, Liu, Qi, 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/PMC4137623/
https://www.ncbi.nlm.nih.gov/pubmed/25202729
http://dx.doi.org/10.1155/2014/517039
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author Zhan, Jianming
Liu, Qi
Kim, Hee Sik
author_facet Zhan, Jianming
Liu, Qi
Kim, Hee Sik
author_sort Zhan, Jianming
collection PubMed
description Molodtsov's soft set theory provides a general mathematical framework for dealing with uncertainty. The concepts of (M, N)-SI implicative (Boolean) filters of BL-algebras are introduced. Some good examples are explored. The relationships between (M, N)-SI filters and (M, N)-SI implicative filters are discussed. Some properties of (M, N)-SI implicative (Boolean) filters are investigated. In particular, we show that (M, N)-SI implicative filters and (M, N)-SI Boolean filters are equivalent.
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spelling pubmed-41376232014-09-08 A New Extended Soft Intersection Set to (M, N)-SI Implicative Fitters of BL-Algebras Zhan, Jianming Liu, Qi Kim, Hee Sik ScientificWorldJournal Research Article Molodtsov's soft set theory provides a general mathematical framework for dealing with uncertainty. The concepts of (M, N)-SI implicative (Boolean) filters of BL-algebras are introduced. Some good examples are explored. The relationships between (M, N)-SI filters and (M, N)-SI implicative filters are discussed. Some properties of (M, N)-SI implicative (Boolean) filters are investigated. In particular, we show that (M, N)-SI implicative filters and (M, N)-SI Boolean filters are equivalent. Hindawi Publishing Corporation 2014 2014-07-21 /pmc/articles/PMC4137623/ /pubmed/25202729 http://dx.doi.org/10.1155/2014/517039 Text en Copyright © 2014 Jianming Zhan 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
Zhan, Jianming
Liu, Qi
Kim, Hee Sik
A New Extended Soft Intersection Set to (M, N)-SI Implicative Fitters of BL-Algebras
title A New Extended Soft Intersection Set to (M, N)-SI Implicative Fitters of BL-Algebras
title_full A New Extended Soft Intersection Set to (M, N)-SI Implicative Fitters of BL-Algebras
title_fullStr A New Extended Soft Intersection Set to (M, N)-SI Implicative Fitters of BL-Algebras
title_full_unstemmed A New Extended Soft Intersection Set to (M, N)-SI Implicative Fitters of BL-Algebras
title_short A New Extended Soft Intersection Set to (M, N)-SI Implicative Fitters of BL-Algebras
title_sort new extended soft intersection set to (m, n)-si implicative fitters of bl-algebras
topic Research Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC4137623/
https://www.ncbi.nlm.nih.gov/pubmed/25202729
http://dx.doi.org/10.1155/2014/517039
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