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Prospects for Applied Mathematics and Data Analysis
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Title

Some Algebraic Structure of Neutrosophic Matrices

  Adel M. Al-Odhari 1 *

1  Faculty of Education, Humanities and Applied Sciences (khawlan) and Department of Foundations of Sciences, Faculty of Engineering, Sana'a University. Box:13509, Sana'a, Yemen
    (a.aleidhri@su.edu.ye)

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Doi   :   https://doi.org/10.54216/PAMDA.010204

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

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 :

[1]  M. Abobala, AH-Subspaces in Neutrosophic Vector Spaces, International Journal of Neutrosophic Science (IJNS), Vol. 6, No. 2, PP. 80-86, 2020 

[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.

Cite this Article as :
Style #
MLA Adel M. Al-Odhari. "Some Algebraic Structure of Neutrosophic Matrices." Prospects for Applied Mathematics and Data Analysis, Vol. 1, No. 2, 2023 ,PP. 37-44 (Doi   :  https://doi.org/10.54216/PAMDA.010204)
APA Adel M. Al-Odhari. (2023). Some Algebraic Structure of Neutrosophic Matrices. Journal of Prospects for Applied Mathematics and Data Analysis, 1 ( 2 ), 37-44 (Doi   :  https://doi.org/10.54216/PAMDA.010204)
Chicago Adel M. Al-Odhari. "Some Algebraic Structure of Neutrosophic Matrices." Journal of Prospects for Applied Mathematics and Data Analysis, 1 no. 2 (2023): 37-44 (Doi   :  https://doi.org/10.54216/PAMDA.010204)
Harvard Adel M. Al-Odhari. (2023). Some Algebraic Structure of Neutrosophic Matrices. Journal of Prospects for Applied Mathematics and Data Analysis, 1 ( 2 ), 37-44 (Doi   :  https://doi.org/10.54216/PAMDA.010204)
Vancouver Adel M. Al-Odhari. Some Algebraic Structure of Neutrosophic Matrices. Journal of Prospects for Applied Mathematics and Data Analysis, (2023); 1 ( 2 ): 37-44 (Doi   :  https://doi.org/10.54216/PAMDA.010204)
IEEE Adel M. Al-Odhari, Some Algebraic Structure of Neutrosophic Matrices, Journal of Prospects for Applied Mathematics and Data Analysis, Vol. 1 , No. 2 , (2023) : 37-44 (Doi   :  https://doi.org/10.54216/PAMDA.010204)
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