1025 846
Full Length Article
International Journal of Neutrosophic Science
Volume 17 , Issue 1, PP: 68-86 , 2021 | Cite this article as | XML | Html |PDF

Title

A Review on Recent Advantages in Algebraic Theory of Neutrosophic Matrices

  Mohammad Abobala 1 * ,   Mikail Bal 2 ,   Ahmed Hatip 3

1  Tishreen University, Department of Mathematics, Syria
    (mohammadabobala777@gmail.com)

2  Gaziantep University, Department of Mathematics, Turkey
    (mikailbal46@hotmail.com)

3  Gaziantep University, Department of Mathematics, Turkey
    (kollnaar5@gmail.com)


Doi   :   https://doi.org/10.54216/IJNS.170105

Received: September 14, 2021 Accepted: December 02, 2021

Abstract :

This work is dedicated to give the reader a wide review for recent advantages in the algebraic study of neutrosophic matrices, refined neutrosophic matrices, and n-refined neutrosophic matrices.

Keywords :

refined neutrosophic matrix , n-refined neutrosophic matrix , eigen value , eigen vector.

References :

[1] Abobala, M., "A Study of AH-Substructures in n-Refined Neutrosophic Vector Spaces", International Journal of Neutrosophic Science", Vol. 9, pp.74-85, 2020.

[2] Abobala, M., "On Some Neutrosophic Algebraic Equations", Journal of New Theory, Vol. 33, 2020.

[3]Sankari, H., and Abobala, M.," Neutrosophic Linear Diophantine Equations With two Variables", Neutrosophic Sets and Systems, Vol. 38, 2020.

[4] Dhar M., Broumi S.,and Smarandache F., "A Note on Square Neutrosophic Fuzzy Matrices", Neutrosophic Sets and Systems'', Vol. 3, pp. 37-41 2014.

[5] Khaled, H., and Younus, A., and Mohammad, A., " The Rectangle Neutrosophic Fuzzy Matrices", Faculty of Education Journal Vol. 15, 2019. (Arabic version)

[6] Smarandache, F., and Abobala, M., "n-Refined Neutrosophic Rings", International Journal of Neutrosophic Science, Vol. 6, pp. 83-90 , 2020.

[7] Ibrahim, M., and Abobala, M., "An Introduction To Refined Neutrosophic Number Theory", Neutrosophic Sets and Systems, Vol. 45, 2021.

 [8] Sankari, H., and Abobala, M.," AH-Homomorphisms In Neutrosophic Rings and Refined Neutrosophic Rings", Neutrosophic Sets and Systems, Vol. 38, 2020.

[9]W. B. V. Kandasamy and F. Smarandache, Neutrosophic Rings, Hexis, Phoenix, Arizona: Infinite Study, 2006.

[10]F. Smarandache, "Neutrosophic Set a Generalization of the Intuitionistic Fuzzy Sets," Inter. J. Pure Appl. Math., pp. 287-297, 2005.

[11] Agboola, A.A.A,. and Akinleye, S.A,. "Neutrosophic Vector Spaces", Neutrosophic Sets and Systems, Vol. 4 , pp. 9-17, 2014.

[12] Sankari, H., and Abobala, M., "n-Refined Neutrosophic Modules", Neutrosophic Sets and Systems, Vol. 36 , 2020.

 [13] Ibrahim, M.A., Agboola, A.A.A, Badmus, B.S., and Akinleye, S.A., "On refined Neutrosophic Vector Spaces I", International Journal of Neutrosophic Science, Vol. 7, pp. 97-109, 2020.

[14] Ibrahim, M.A., Agboola, A.A.A, Badmus, B.S., and Akinleye, S.A., "On refined Neutrosophic Vector Spaces II", International Journal of Neutrosophic Science, Vol. 9, pp. 22-36, 2020.

[15]F. Smarandache, Introduction to Neutrosophic Statistics, USA: Sitech & Education Publishing, 2014.

[16] Sankari, H., and Abobala, M., " Solving Three Conjectures About Neutrosophic Quadruple Vector Spaces", Neutrosophic Sets and Systems, Vol. 38, 2020.

[17] Abobala, M., "A Study Of Nil Ideals and Kothe's Conjecture In Neutrosophic Rings", International Journal of Mathematics and Mathematical Sciences, hindawi, 2021

[18] Adeleke, E.O., Agboola, A.A.A., and Smarandache, F., "Refined Neutrosophic Rings I", International Journal of  Neutrosophic Science, Vol 2 , pp77-81, 2020.

[19] Agboola, A.A.A,. Akwu, A.D,. and Oyebo, Y.T,. "Neutrosophic Groups and Subgroups", International .J .Math.Combin, Vol. 3, pp. 1-9, 2012.

[20]Smarandache, F., "Refined Literal Indeterminacy and the Multiplication Law of Sub-Indeterminacies", Neutrosophic Sets ans Systems, Vol. 9, 2015

[21] Smarandache, F., "n-Valued Refined Neutrosophic Logic and Its Applications in Physics", Progress in Physics, Vol. 4, pp.143-146, 2013.

 [22] Adeleke, E.O., Agboola, A.A.A., and Smarandache, F., "Refined Neutrosophic Rings II", International Journal of  Neutrosophic Science, Vol. 2, pp. 89-94, 2020.

[23] Abobala, M., " Semi Homomorphisms and Algebraic Relations Between Strong Refined Neutrosophic Modules and Strong Neutrosophic Modules", Neutrosophic Sets and Systems, Vol. 39, 2021.

[24] Agboola, A.A.A., “On Reļ¬ned Neutrosophic Algebraic Structures”, Neutrosophic Sets and Systems,Vol.10, pp. 99-101, 2015.

[25]Thomas, M. G., " Convergence of Powers of a Fuzzy Matrix", J. Math. Annal. Appl. 57 , pp. 476-480, 1977.

[26] Das, R., Smarandache, F., and Tripathy, B., "Neutrosophic Fuzzy Matrices and Some Algebraic Operations", Neutrosophic Sets and Systems, Vol. 32, pp. 401-409, 2020

[27] Abobala, M., and Hatip, A., "AH-Substructures In Strong Refined Neutrosophic Modules", International Journal of Neutrosophic Science, Vol. 9, pp. 110-116 , 2020.

 [28]Abobala, M., and Hatip, A., "An Algebraic Approch To Neutrosophic Euclidean Geometry", Neutrosophic Sets and Systems, Vol. 43, 2021.

 [29] Hatip, A., and Olgun, N., " On Refined Neutrosophic R-Module", International Journal of Neutrosophic Science, Vol. 7, pp.87-96, 2020.

[30] Abobala, M., and Alhamido, R., "AH-Substructures in Neutrosophic Modules", International Journal of Neutrosophic Science, Vol. 7, pp. 79-86 , 2020.

[31] Aswad, M., " A Study of The Integration Of Neutrosophic Thick Function", International journal of neutrosophic Science, 2020. 

 [32]Abobala, M., "Neutrosophic Real Inner Product Spaces", Neutrosophic Sets and Systems, Vol. 43, 2021.

[33]Akram, M., Single-Valued Neutrosophic Graphs, Infosys Science Foundation Series in Mathematical Sciences, Springer, 2018.

 [34] Abobala, M., On Refined Neutrosophic Matrices and Their Applications In Refined Neutrosophic Algebraic Equations, Journal Of Mathematics, Hindawi, 2021

[35] Abobala, M., On The Representation of Neutrosophic Matrices by Neutrosophic Linear Transformations, Journal of Mathematics, Hindawi, 2021. 

[36]Abobala, M., A Study of Maximal and Minimal Ideals of n-Refined Neutrosophic Rings, Journal of Fuzzy Extension and Applications, Vol. 2, pp. 16-22, 2021.

[37] Abobala, M., "On The Characterization of Maximal and Minimal Ideals In Several Neutrosophic Rings", Neutrosophic Sets and Systems, Vol. 45, 2021.

 [38]Abobala, M., Hatip, A., Olgun, N., Broumi, S., Salama, A,A., and Khaled, E, H., The Algebraic Creativity In The Neutrosophic Square Matrices, Neutrosophic Sets and Systems, Vol. 40, pp.1-11, 2021.

 [39] Suryoto, H., and Uidjiani, T., " On Clean Neutrosophic Rings", IOP Conference Series, Journal of Physics, Conf. Series 1217, 2019.

 [40] Abobala, M., "On Some Algebraic Properties of n-Refined Neutrosophic Elements and n-Refined Neutrosophic Linear Equations", Mathematical Problems in Engineering, Hindawi, 2021.

[41] Ali, R, "Neutrosophic Matrices and their Properties", Hal- Archives, 2021.

 [43] Hatip, A., Bal, M., and Abobala, M.," A Novel Approach To Necessary and Sufficient Conditions For The Diagonalization of Refined Neutrosophic Matrices, Interational Journal of Neutrosophic Science, Vol.16, 2021.

[44] Aswad. F, M., " A Study of neutrosophic Bi Matrix", Neutrosophic Knowledge, Vol. 2, 2021.


Cite this Article as :
Style #
MLA Mohammad Abobala, Mikail Bal, Ahmed Hatip. "A Review on Recent Advantages in Algebraic Theory of Neutrosophic Matrices." International Journal of Neutrosophic Science, Vol. 17, No. 1, 2021 ,PP. 68-86 (Doi   :  https://doi.org/10.54216/IJNS.170105)
APA Mohammad Abobala, Mikail Bal, Ahmed Hatip. (2021). A Review on Recent Advantages in Algebraic Theory of Neutrosophic Matrices. Journal of International Journal of Neutrosophic Science, 17 ( 1 ), 68-86 (Doi   :  https://doi.org/10.54216/IJNS.170105)
Chicago Mohammad Abobala, Mikail Bal, Ahmed Hatip. "A Review on Recent Advantages in Algebraic Theory of Neutrosophic Matrices." Journal of International Journal of Neutrosophic Science, 17 no. 1 (2021): 68-86 (Doi   :  https://doi.org/10.54216/IJNS.170105)
Harvard Mohammad Abobala, Mikail Bal, Ahmed Hatip. (2021). A Review on Recent Advantages in Algebraic Theory of Neutrosophic Matrices. Journal of International Journal of Neutrosophic Science, 17 ( 1 ), 68-86 (Doi   :  https://doi.org/10.54216/IJNS.170105)
Vancouver Mohammad Abobala, Mikail Bal, Ahmed Hatip. A Review on Recent Advantages in Algebraic Theory of Neutrosophic Matrices. Journal of International Journal of Neutrosophic Science, (2021); 17 ( 1 ): 68-86 (Doi   :  https://doi.org/10.54216/IJNS.170105)
IEEE Mohammad Abobala, Mikail Bal, Ahmed Hatip, A Review on Recent Advantages in Algebraic Theory of Neutrosophic Matrices, Journal of International Journal of Neutrosophic Science, Vol. 17 , No. 1 , (2021) : 68-86 (Doi   :  https://doi.org/10.54216/IJNS.170105)