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Prospects for Applied Mathematics and Data Analysis

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Volume 1 • Issue 2 • PP: 37-44 • 2023

Some Algebraic Structure of Neutrosophic Matrices

Adel M. Al-Odhari 1*
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1Faculty of Education, Humanities and Applied Sciences (khawlan) and Department of Foundations of Sciences, Faculty of Engineering, Sana'a University. Box:13509, Sana'a, Yemen
* Corresponding Author.
DOI https://doi.org/10.54216/PAMDA.010204
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© 2023 The Author(s). Published by ASPG. This article is licensed under the Creative Commons Attribution 4.0 International License (CC BY 4.0).

Received: August 12, 2022 Accepted: December 23, 2022
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Abstract

In this paper, we investigate some operations of algebraic structure of neutrosophic matrices related to indeterminacy real numbers.  

Keywords

Neutrosophic Matrix Operations on Neutrosophic Matrix Rank of Neutrosophic Matrix.

References

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[2]  Y. A. Alhasan, Concepts of Neutrosophic Complex Numbers, International Journal of Neutrosophic Science (IJNS), Vol. 8 No. 1, PP. 9-18, 2020.

[3]  M. Ali, and F. Smarandache. Complex neutrosophic set. Neural Computing & Applications,28(7) (2021,1-18.

[4]  K.T. Atanassov, Intuitionistic fuzzy sets, VII ITKR’s Session, Sofia, 1983. 

[5]  K.T. Atanassov, Intuitionistic fuzzy sets, Fuzzy Sets and Systems 20 (1986) 87-96. New York. NC 1995.

[6]  D. Cherney, T. Denton, R. Thomas and A. Waldron, Linear Algebra, Davis California, 2013.

[7]  L. Hogben, Handbook of Linear Algebra, Taylor & Francis Group, LLC,2007.

[8]  W.B. V. Kandasamy and F. Smarandache, Basic Neutrosophic and their Applications to Fuzzy and Neutrosophic models, Hexis, Church Rock, 2004.  http://fs.unm.edu/NAS.pdf

[9]  W.B. V. Kandasamy and F. Smarandache, Some Neutrosophic Algebraic Structures and Neutrosophic NAlgebraic Structures, Hexis, Phoenix, Arizona 2006. https://arxiv.org/ftp/math/papers/0603/0603581.pdf.

[10]  W.B. V. Kandasamy and F. Smarandache, Neutrosophic Rings, Hexis, Phoenix,Arizona, 2006.https://www.researchgate.net/publication/308949184_NEUTROSOPHIC_RINGS.

[11]  W.B. V. Kandasamy and F. Smarandache, Finite Neutrosophic Complex Numbers, Ohio: Zip Publishing, 2011.

[12]  D. C. Lay, Linear Algebra and its applications, Addison-Wesley,2012. 

[13]  F. Smarandache (2002a), A Unifying Field in Logics: Neutrosophic Logic, in Multiple-Valued Logic / An International Journal, Vol. 8, No. 3, 385-438, 2002, www.gallup.unm.edu/~smarandache/eBookneutrosophics4.pdf.

[14]  F. Smarandache (2002b), Neutrosophy, A New Branch of Philosophy, in Multiple-Valued Logic / An International Journal, Vol. 8, No. 3, 297-384, 2002. This whole issue of this journal is dedicated to Neutrosophy and Neutrosophic Logic.

[15]  A. Salama, R. Dalla, M. Al Aswad and R. Ali, On Some Novel Results About Neutrosophic Square Complex Matrices, Journal of Neutrosophic and Fuzzy Systems (JNFS) Vol. 04, No. 01, PP. 21-29, 2022. 

[16]  F. Smarandache, Neutrosophic Set, A Generalization of The Intuitionistic Fuzzy Sets, Inter. J. Pure Appl. Math., 24, pp. 287 – 297, 2005.

[17]  F. Smarandache, n-Valued Refined Neutrosophic Logic and Its Applications to Physics, Progress in Physics, Vol. 4, 143-146, 2013,Physicshttp://fs.unm.edu/RefinedNeutrosophicSet.pdf.

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Al-Odhari, Adel M.. "Some Algebraic Structure of Neutrosophic Matrices." Prospects for Applied Mathematics and Data Analysis, vol. Volume 1, no. Issue 2, 2023, pp. 37-44. DOI: https://doi.org/10.54216/PAMDA.010204
Al-Odhari, A. (2023). Some Algebraic Structure of Neutrosophic Matrices. Prospects for Applied Mathematics and Data Analysis, Volume 1(Issue 2), 37-44. DOI: https://doi.org/10.54216/PAMDA.010204
Al-Odhari, Adel M.. "Some Algebraic Structure of Neutrosophic Matrices." Prospects for Applied Mathematics and Data Analysis Volume 1, no. Issue 2 (2023): 37-44. DOI: https://doi.org/10.54216/PAMDA.010204
Al-Odhari, A. (2023) 'Some Algebraic Structure of Neutrosophic Matrices', Prospects for Applied Mathematics and Data Analysis, Volume 1(Issue 2), pp. 37-44. DOI: https://doi.org/10.54216/PAMDA.010204
Al-Odhari A. Some Algebraic Structure of Neutrosophic Matrices. Prospects for Applied Mathematics and Data Analysis. 2023;Volume 1(Issue 2):37-44. DOI: https://doi.org/10.54216/PAMDA.010204
A. Al-Odhari, "Some Algebraic Structure of Neutrosophic Matrices," Prospects for Applied Mathematics and Data Analysis, vol. Volume 1, no. Issue 2, pp. 37-44, 2023. DOI: https://doi.org/10.54216/PAMDA.010204
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