Application of Neutrosophic Soft Sets to <i>K</i>-Algebras

Application of Neutrosophic Soft Sets to <i>K</i>-Algebras

Neutrosophic sets and soft sets are two different mathematical tools for representing vagueness and uncertainty. We apply these models in combination to study vagueness and uncertainty in <i>K</i>-algebras. We introduce the notion of single-valued neutrosophic soft (SNS) <i>K</i...

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Main Authors: Muhammad Akram, Hina Gulzar, Florentin Smarandache, Said Broumi
Format: Article
Language:English
Published: MDPI AG 2018-11-01
Series:Axioms
Subjects:
K-algebras
single-valued neutrosophic soft K-algebras
(∈,∈∨q)-single-valued neutrosophic soft K-algebras
Online Access:https://www.mdpi.com/2075-1680/7/4/83
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spelling doaj-42974443357d408abb844011386c99712020-11-25T00:49:12ZengMDPI AGAxioms2075-16802018-11-01748310.3390/axioms7040083axioms7040083Application of Neutrosophic Soft Sets to <i>K</i>-AlgebrasMuhammad Akram0Hina Gulzar1Florentin Smarandache2Said Broumi3Department of Mathematics, University of the Punjab, New Campus, Lahore 54590, PakistanDepartment of Mathematics, University of the Punjab, New Campus, Lahore 54590, PakistanDepartment of Mathematics &amp; Science, University of New Mexico, 705 Gurley Ave., Gallup, NM 87301, USALaboratory of Information Processing, Faculty of Science Ben M’Sik, University of Hassan II, Casablanca 20000, MoroccoNeutrosophic sets and soft sets are two different mathematical tools for representing vagueness and uncertainty. We apply these models in combination to study vagueness and uncertainty in <i>K</i>-algebras. We introduce the notion of single-valued neutrosophic soft (SNS) <i>K</i>-algebras and investigate some of their properties. We establish the notion of <inline-formula> <math display="inline"> <semantics> <mrow> <mo>(</mo> <mo>&#8712;</mo> <mo>,</mo> <mo>&#8712;</mo> <mo>&or;</mo> <mi>q</mi> <mo>)</mo> </mrow> </semantics> </math> </inline-formula>-single-valued neutrosophic soft <i>K</i>-algebras and describe some of their related properties. We also illustrate the concepts with numerical examples.https://www.mdpi.com/2075-1680/7/4/83K-algebrassingle-valued neutrosophic soft K-algebras(∈,∈∨q)-single-valued neutrosophic soft K-algebras
collection DOAJ
language English
format Article
sources DOAJ
author Muhammad Akram
Hina Gulzar
Florentin Smarandache
Said Broumi
spellingShingle Muhammad Akram
Hina Gulzar
Florentin Smarandache
Said Broumi
Application of Neutrosophic Soft Sets to <i>K</i>-Algebras
Axioms
K-algebras
single-valued neutrosophic soft K-algebras
(∈,∈∨q)-single-valued neutrosophic soft K-algebras
author_facet Muhammad Akram
Hina Gulzar
Florentin Smarandache
Said Broumi
author_sort Muhammad Akram
title Application of Neutrosophic Soft Sets to <i>K</i>-Algebras
title_short Application of Neutrosophic Soft Sets to <i>K</i>-Algebras
title_full Application of Neutrosophic Soft Sets to <i>K</i>-Algebras
title_fullStr Application of Neutrosophic Soft Sets to <i>K</i>-Algebras
title_full_unstemmed Application of Neutrosophic Soft Sets to <i>K</i>-Algebras
title_sort application of neutrosophic soft sets to <i>k</i>-algebras
publisher MDPI AG
series Axioms
issn 2075-1680
publishDate 2018-11-01
description Neutrosophic sets and soft sets are two different mathematical tools for representing vagueness and uncertainty. We apply these models in combination to study vagueness and uncertainty in <i>K</i>-algebras. We introduce the notion of single-valued neutrosophic soft (SNS) <i>K</i>-algebras and investigate some of their properties. We establish the notion of <inline-formula> <math display="inline"> <semantics> <mrow> <mo>(</mo> <mo>&#8712;</mo> <mo>,</mo> <mo>&#8712;</mo> <mo>&or;</mo> <mi>q</mi> <mo>)</mo> </mrow> </semantics> </math> </inline-formula>-single-valued neutrosophic soft <i>K</i>-algebras and describe some of their related properties. We also illustrate the concepts with numerical examples.
topic K-algebras
single-valued neutrosophic soft K-algebras
(∈,∈∨q)-single-valued neutrosophic soft K-algebras
url https://www.mdpi.com/2075-1680/7/4/83
work_keys_str_mv AT muhammadakram applicationofneutrosophicsoftsetstoikialgebras
AT hinagulzar applicationofneutrosophicsoftsetstoikialgebras
AT florentinsmarandache applicationofneutrosophicsoftsetstoikialgebras
AT saidbroumi applicationofneutrosophicsoftsetstoikialgebras
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