References

[1]  Abobala,  M.,  "AH-Subspaces  in  Neutrosophic  Vector  Spaces",  International  Journal  of  Neutrosophic 

Science, Vol. 6 , pp. 80-86. 2020.

[2]  Abobala,  M.,.  "A  Study  of  AH-Substructures  in  n-Refined  Neutrosophic  Vector  Spaces",  International 

Journal of Neutrosophic Science", Vol. 9, pp.74-85. 2020.

[3]  Alhamido, R., and Abobala, M., "AH-Substructures in Neutrosophic Modules", International Journal of

Neutrosophic Science, Vol. 7, pp. 79-86 . 2020.

[4]  Smarandache,  F.,  "  A  Unifying  Field  in  Logics:  Neutrosophic  Logic,  Neutrosophy,  Neutrosophic  Set, 

Neutrosophic Probability", American Research Press. Rehoboth, 2003.

[5]  Suresh,  R.,  and  S.  Palaniammal,.  "Neutrosophic  Weakly  Generalized  open  and  Closed  Sets", 

Neutrosophic Sets and Systems, Vol. 33, pp. 67-77,. 2020.

[6]  Olgun,  N.,  and   Hatip,  A.,   "The  Effect  Of  The  Neutrosophic  Logic  On  The  Decision  Making,  in 

Quadruple Neutrosophic Theory And Applications", Belgium, EU, Pons Editions Brussels,pp. 238-253. 

2020.

[7]  Abobala, M., "Classical Homomorphisms Between n-refined Neutrosophic Rings", International Journal 

of Neutrosophic Science", Vol. 7, pp. 74-78. 2020. 

[8]  Smarandache, F., and Abobala, M., n-Refined neutrosophic Rings, International Journal of Neutrosophic 

Science, Vol. 5 , pp. 83-90, 2020.

[9]  Abobala, M.,  On Some Special Substructures of Neutrosophic Rings and Their Properties, International 

Journal of Neutrosophic Science", Vol. 4 , pp. 72-81, 2020.

[10]  Abobala, M., "On Some Special Substructures of Refined Neutrosophic Rings",  International Journal of 

Neutrosophic Science, Vol. 5, pp. 59-66. 2020.

[11]  Sankari,  H., and Abobala, M.," AH-Homomorphisms In neutrosophic Rings and Refined Neutrosophic 

Rings", Neutrosophic Sets and Systems, Vol. 38, pp. 101-112, 2020.

[12]  Smarandache,  F.,  and  Kandasamy,  V.W.B.,  "  Finite  Neutrosophic  Complex  Numbers",·Source:  arXiv. 

2011.

[13]  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.

[14]  Smarandache, F., " n-Valued Refined Neutrosophic Logic and Its Applications in Physics", Progress in 

Physics, 143-146, Vol. 4, 2013.

[15]  Adeleke,  E.O.,  Agboola,  A.A.A.,and  Smarandache,  F.,   "Refined  Neutrosophic  Rings  I",  International 

Journal of Neutrosophic Science, Vol. 2(2), pp. 77-81. 2020.

[16]  Adeleke, E.O., Agboola, A.A.A., and Smarandache, F., "Refined Neutrosophic Rings II",  International 

Journal of Neutrosophic Science, Vol. 2(2), pp. 89-94. 2020.

[17]  Abobala,  M.,  On  Refined  Neutrosophic  Matrices  and  Their  Applications  In  Refined  Neutrosophic 

Algebraic Equations, Journal Of Mathematics, Hindawi, 2021

[18]  Giorgio, N, Mehmood, A., and Broumi, S.," Single Valued neutrosophic Filter", International Journal of 

Neutrosophic Science, Vol. 6, 2020.

[19]  Abobala, M., "On The Characterization of Maximal and Minimal Ideals In Several Neutrosophic Rings", 

Neutrosophic Sets and Systems, Vol. 45, 2021. 

[20]  Milles,  S,  Barakat,  M,  and  Latrech,  A.,  "  Completeness  and  Compactness  In  Standard  Single  Valued 

neutrosophic Metric Spaces", International Journal of Neutrosophic Science, Vol.12 , 2021.

[21]  Abobala,  M.,  "On  Some  Algebraic  Properties  of  n-Refined  Neutrosophic  Elements  and  n-Refined 

Neutrosophic Linear Equations", Mathematical Problems in Engineering, Hindawi, 2021

[22]   Kandasamy V, Smarandache F., and Kandasamy I., Special Fuzzy Matrices for Social Scientists . Printed 

in the United States of America,2007, book, 99 pages.

[23]   Khaled,  H.,  and  Younus,  A.,  and  Mohammad,  A.,  "  The  Rectangle  Neutrosophic  Fuzzy  Matrices", 

Faculty of Education Journal Vol. 15, 2019. (Arabic version).

[24]   F. Smarandache, Neutrosophic Theory and Applications, Le Quy Don Technical University, Faculty of 

Information technology, Hanoi, Vietnam, 17

th

May 2016.

[25]  Ibrahim,  M.,  and  Abobala,  M.,  "An  Introduction  To  Refined  Neutrosophic  Number  Theory", 

Neutrosophic Sets and Systems, Vol. 45, 2021.

[26]  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.

[27]  Abobala, M, "n-Cyclic Refined Neutrosophic Algebraic Systems Of Sub-Indeterminacies, An Application 

To Rings and Modules", International Journal of Neutrosophic Science, Vol. 12, pp. 81-95 . 2020.

[28]  Smarandache, F., "Neutrosophic Set a Generalization of the Intuitionistic Fuzzy Sets", Inter. J. Pure Appl. 

Math., pp. 287-297. 2005. 

[29]   Merkepci, H., and Abobala, M., " The Application of AH-isometry In The Study Of Neutrosophic Conic 

Sections", Galoitica Journal Of Mathematical Structure And Applications, Vol.2, 2022.

[30]  Aswad,  F,  M.,  "  A  Study  of  Neutrosophic  Complex  Number  and  Applications",  Neutrosophic 

Knowledge, Vol. 1, 2020.

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

[32]   Aswad,  M.,  "  A  Study  of  The  Integration  Of  Neutrosophic  Thick  Function",  International  journal  of 

neutrosophic Science, 2020. 

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

[34]   Abobala,  M.,  and  Hatip,  A.,  "An  Algebraic  Approach  to  Neutrosophic  Euclidean  Geometry", 

Neutrosophic Sets and Systems, Vol. 43, 2021.

[35]   Aswad, M., " A Study Of neutrosophic Differential Equation By using A Neutrosophic Thick Function", 

neutrosophic knowledge, Vol. 1, 2020.

[36]  Olgun,  N.,  Hatip,  A.,  Bal,  M.,  and  Abobala,  M.,  "  A  Novel  Approach  To  Necessary  and  Sufficient 

Conditions  For  The  Diagonalization  of  Refined  Neutrosophic  Matrices",  International  Journal  of 

Neutrosophic Science, Vol. 16, pp. 72-79, 2021.

[37]  Khaled,  H.,  Smarandache,  F.,  and  Essa,  A.,  "A  Neutrosophic  Binomial  Factorial  Theorem  With  Their 

Refrains", Neutrosophic Sets and Systems, Vol. 14, 2016.

[38]  Zeina, M. B., and Hatip, A., "Neutrosophic Random Variables ", Neutrosophic Sets and Systems, Vol. 39 

, 2021.

[39]  Zeina, M. B., "Erlang  Service Queueing Model with Neutrosophic Parameters", International Journal of 

Neutrosophic Science, Vol. 6 ,2020.

[40]  Zeina,  M.  B.,  "Neutrosophic  Event-Based  Queueing  Model",  International  Journal  of  Neutrosophic 

Science, Vol. 6 , 2020.

[41]  Ali,  R.,  "A  Short  Note  On  The  Solution  of  n-Refined  Neutrosophic  Linear  Diophantine  Equations", 

International Journal Of Neutrosophic Science, Vol. 15, 2021.

[42]  Hajjari,  A.,  and  Ali,  R.,  "  A  Contribution  To  Kothe's  Conjecture  In  Refined  Neutrosophic  Rings", 

International Journal of Neutrosophic Science", Vol. 16, 2021.

[43]  Merkepci, M,; Sarkis, M. An Application of Pythagorean Circles in  Cryptography and Some Ideas for 

Future Non Classical  Systems. Galoitica Journal of Mathematical Structures and Applications  2022,  2, 

28-30, doi: 10.54216/GJMSA.020205.

[44]   Merkepci,  M.,  and  Ali,  R.,  "  A  Study  of  Some  Neutrosophic  Algebraic  Games  and  Their  Winning 

Stratigies", Galoitica Journal Of Mathematical Structure And Applications, Vol.2, 2022.

[45]  Merkepci, H., and Ahmad, K., " On The Conditions Of Imperfect Neutrosophic Duplets and Imperfect 

Neutrosophic Triplets", Galoitica Journal Of Mathematical Structure And Applications, Vol.2, 2022.