Volume 17 , Issue 1 , PP: 68-86, 2021 | Cite this article as | XML | Html | PDF | Full Length Article
Mohammad Abobala 1 * , Mikail Bal 2 , Ahmed Hatip 3
Doi: https://doi.org/10.54216/IJNS.170105
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.
refined neutrosophic matrix,n-refined , neutrosophic matrix, eigen value, eigen vector.
[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.
