Translative and Multiplicative Interpretation of Neutrosophic Cubic Set

In this paper, we introduce the idea of neutrosophic cubic translation (NCT) and neutrosophic cubic multiplication (NCM) and provide entirely new type of conditions for neutrosophic cubic translation and neutrosophic cubic multiplication on BF-algebra. This is the new kind of approach towards tran...

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Main Authors: MOHSIN KHALID, FLORENTIN SMARANDACHE, NEHA ANDALLEB KHALID, SAID BROUMI
Format: Article
Language:English
Published: University of New Mexico 2020-07-01
Series:Neutrosophic Sets and Systems
Subjects:
Online Access:http://fs.unm.edu/NSS/TranslativeAndMultiplicative18.pdf
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author MOHSIN KHALID
FLORENTIN SMARANDACHE
NEHA ANDALLEB KHALID
SAID BROUMI
author_facet MOHSIN KHALID
FLORENTIN SMARANDACHE
NEHA ANDALLEB KHALID
SAID BROUMI
author_sort MOHSIN KHALID
collection DOAJ
description In this paper, we introduce the idea of neutrosophic cubic translation (NCT) and neutrosophic cubic multiplication (NCM) and provide entirely new type of conditions for neutrosophic cubic translation and neutrosophic cubic multiplication on BF-algebra. This is the new kind of approach towards translation and multiplication which involves the indeterminacy membership function. We also define neutrosophic cubic magnified translation (NCMT) on BF-algebra which handles the neutrosophic cubic translation and neutrosophic cubic multiplication at the same time on membership function, indeterminacy membership function and non-membership function. We present the examples for better understanding of neutrosophic cubic translation, neutrosophic cubic multiplication, and neutrosophic cubic magnified translation, and investigate significant results of BF-ideal and BF-subalgebra by applying the ideas of NCT, NCM and NCMT. Intersection and union of neutrosophic cubic BF-ideals are also explained through this new type of translation and multiplication.
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spelling doaj.art-529a9ab8d3be4323888382d853eb393f2022-12-22T03:07:42ZengUniversity of New MexicoNeutrosophic Sets and Systems2331-60552331-608X2020-07-013529933910.5281/zenodo.3951678Translative and Multiplicative Interpretation of Neutrosophic Cubic SetMOHSIN KHALID 0FLORENTIN SMARANDACHE1NEHA ANDALLEB KHALID2SAID BROUMI3Department of Mathematics, The University of Lahore, Lahore, PakistanDepartment of Mathematics, University of New Mexico Mathematics Department 705 Gurley Ave., Gallup, NM 87301, USADepartment of Mathematics, Lahore Collage for Women University, Lahore, PakistanLaboratory of Information Processing, Faculty of Science Ben M’Sik, University Hassan II, Casablanca, MoroccoIn this paper, we introduce the idea of neutrosophic cubic translation (NCT) and neutrosophic cubic multiplication (NCM) and provide entirely new type of conditions for neutrosophic cubic translation and neutrosophic cubic multiplication on BF-algebra. This is the new kind of approach towards translation and multiplication which involves the indeterminacy membership function. We also define neutrosophic cubic magnified translation (NCMT) on BF-algebra which handles the neutrosophic cubic translation and neutrosophic cubic multiplication at the same time on membership function, indeterminacy membership function and non-membership function. We present the examples for better understanding of neutrosophic cubic translation, neutrosophic cubic multiplication, and neutrosophic cubic magnified translation, and investigate significant results of BF-ideal and BF-subalgebra by applying the ideas of NCT, NCM and NCMT. Intersection and union of neutrosophic cubic BF-ideals are also explained through this new type of translation and multiplication.http://fs.unm.edu/NSS/TranslativeAndMultiplicative18.pdfbf-algebraneutrosophic cubic translationneutrosophic cubic multiplicationneutrosophic cubic bf idealneutrosophic cubic bf subalgebraneutrosophic cubic magnified translation.
spellingShingle MOHSIN KHALID
FLORENTIN SMARANDACHE
NEHA ANDALLEB KHALID
SAID BROUMI
Translative and Multiplicative Interpretation of Neutrosophic Cubic Set
Neutrosophic Sets and Systems
bf-algebra
neutrosophic cubic translation
neutrosophic cubic multiplication
neutrosophic cubic bf ideal
neutrosophic cubic bf subalgebra
neutrosophic cubic magnified translation.
title Translative and Multiplicative Interpretation of Neutrosophic Cubic Set
title_full Translative and Multiplicative Interpretation of Neutrosophic Cubic Set
title_fullStr Translative and Multiplicative Interpretation of Neutrosophic Cubic Set
title_full_unstemmed Translative and Multiplicative Interpretation of Neutrosophic Cubic Set
title_short Translative and Multiplicative Interpretation of Neutrosophic Cubic Set
title_sort translative and multiplicative interpretation of neutrosophic cubic set
topic bf-algebra
neutrosophic cubic translation
neutrosophic cubic multiplication
neutrosophic cubic bf ideal
neutrosophic cubic bf subalgebra
neutrosophic cubic magnified translation.
url http://fs.unm.edu/NSS/TranslativeAndMultiplicative18.pdf
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