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Application of Neutrosophic Soft Sets to K-Algebras

Department of Mathematics, University of the Punjab, New Campus, Lahore 54590, Pakistan
Department of Mathematics & Science, University of New Mexico, 705 Gurley Ave., Gallup, NM 87301, USA
Laboratory of Information Processing, Faculty of Science Ben M’Sik, University of Hassan II, Casablanca 20000, Morocco
Authors to whom correspondence should be addressed.
Axioms 2018, 7(4), 83;
Received: 1 October 2018 / Revised: 2 November 2018 / Accepted: 2 November 2018 / Published: 12 November 2018
(This article belongs to the Special Issue Neutrosophic Topology)
PDF [349 KB, uploaded 2 December 2018]


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 K-algebras. We introduce the notion of single-valued neutrosophic soft (SNS) K-algebras and investigate some of their properties. We establish the notion of ( , q ) -single-valued neutrosophic soft K-algebras and describe some of their related properties. We also illustrate the concepts with numerical examples. View Full-Text
Keywords: K-algebras; single-valued neutrosophic soft K-algebras; (∈, ∈ ∨q)-single-valued neutrosophic soft K-algebras K-algebras; single-valued neutrosophic soft K-algebras; (∈, ∈ ∨q)-single-valued neutrosophic soft K-algebras
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 (CC BY 4.0).

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Akram, M.; Gulzar, H.; Smarandache, F.; Broumi, S. Application of Neutrosophic Soft Sets to K-Algebras. Axioms 2018, 7, 83.

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