Novel Concepts of Bipolar Fuzzy BCK-Submodules

Translations and multiplications of bipolar fuzzy BCK-submodules are discussed. Extensions of bipolar fuzzy BCK-submodules are introduced. Relations between translations and multiplications of bipolar fuzzy BCK-submodules are presented.

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Main Authors: M. A. Alghamdi, N. M. Muthana, N. O. Alshehri
Format: Article
Language:English
Published: Wiley 2017-01-01
Series:Discrete Dynamics in Nature and Society
Online Access:http://dx.doi.org/10.1155/2017/2084191
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author M. A. Alghamdi
N. M. Muthana
N. O. Alshehri
author_facet M. A. Alghamdi
N. M. Muthana
N. O. Alshehri
author_sort M. A. Alghamdi
collection DOAJ
description Translations and multiplications of bipolar fuzzy BCK-submodules are discussed. Extensions of bipolar fuzzy BCK-submodules are introduced. Relations between translations and multiplications of bipolar fuzzy BCK-submodules are presented.
format Article
id doaj-art-2a6ff53b6f564e47814f9458c5fd751b
institution Kabale University
issn 1026-0226
1607-887X
language English
publishDate 2017-01-01
publisher Wiley
record_format Article
series Discrete Dynamics in Nature and Society
spelling doaj-art-2a6ff53b6f564e47814f9458c5fd751b2025-08-20T03:54:37ZengWileyDiscrete Dynamics in Nature and Society1026-02261607-887X2017-01-01201710.1155/2017/20841912084191Novel Concepts of Bipolar Fuzzy BCK-SubmodulesM. A. Alghamdi0N. M. Muthana1N. O. Alshehri2Department of Mathematics, Faculty of Sciences, King Abdulaziz University, Jeddah, Saudi ArabiaDepartment of Mathematics, Faculty of Sciences, King Abdulaziz University, Jeddah, Saudi ArabiaDepartment of Mathematics, Faculty of Sciences, King Abdulaziz University, Jeddah, Saudi ArabiaTranslations and multiplications of bipolar fuzzy BCK-submodules are discussed. Extensions of bipolar fuzzy BCK-submodules are introduced. Relations between translations and multiplications of bipolar fuzzy BCK-submodules are presented.http://dx.doi.org/10.1155/2017/2084191
spellingShingle M. A. Alghamdi
N. M. Muthana
N. O. Alshehri
Novel Concepts of Bipolar Fuzzy BCK-Submodules
Discrete Dynamics in Nature and Society
title Novel Concepts of Bipolar Fuzzy BCK-Submodules
title_full Novel Concepts of Bipolar Fuzzy BCK-Submodules
title_fullStr Novel Concepts of Bipolar Fuzzy BCK-Submodules
title_full_unstemmed Novel Concepts of Bipolar Fuzzy BCK-Submodules
title_short Novel Concepts of Bipolar Fuzzy BCK-Submodules
title_sort novel concepts of bipolar fuzzy bck submodules
url http://dx.doi.org/10.1155/2017/2084191
work_keys_str_mv AT maalghamdi novelconceptsofbipolarfuzzybcksubmodules
AT nmmuthana novelconceptsofbipolarfuzzybcksubmodules
AT noalshehri novelconceptsofbipolarfuzzybcksubmodules