References

1. Smarandache F. NeutrosophicPrecalculus and Neutrosophiccalclus, University of New Mexico, 705

Gurley Ave. Gallup,NM 87301, USA, 2015.

2. Smarandache F. Neutrosophic Measure and NeutrosophicIntegral , In Neutrosophic Sets and Systems, 3 –

7, Vol. 1, 2013.

3. A. A Salama, Smarandache F. Kroumov,Neutrosophic Closed Set and Continuous Functions, in

Neutrosophic Sets and Systems, Vol.4, 4- 8, 2014.

4. A. A Salama; I. M Hanafy; HewaydaElghawalbyDabash M.S, Neutrosophic Crisp Closed RRegion and

Neutrosophic Crisp Continuous Functions, New Trends in Neutrosophic Theory and Applications.

5. A. A Salama; HewaydaElghawalby; M.S,Dabash; A.M. NASR, RetracNeutrosophic Crisp System For

Gray Scale Image, Asian Journal Of Mathematics and Computer Research, Vol 24, 104-117, (2018).

6. F. smarandache. "Neutrosophy and Neutrosophic Logic, First International Conference on Neutrosophy,

neutrosophic Logic, Set, Probability, and Statistics" University of New Mexico, Gallup, NM87301, USA

2002.

7. M. Abdel-Basset; E. Mai. Mohamed; C. Francisco;H. Z. Abd EL-Nasser. "Cosine similarity measures of

bipolar neutrosophic set for diagnosis of bipolar disorder diseases" Artificial Intelligence in Medicine Vol.

101, 101735, (2019).

8. Abobala, M., Bal, M., Aswad, M., "A Short Note On Some Novel Applications of Semi Module

Homomorphisms", International journal of neutrosophic science, 2022.

9. Smarandache F., and Abobala, M., "n-Refined Neutrosophic Vector Spaces", International Journal of

Neutrosophic Science, Vol. 7, pp. 47-54. 2020.

10. Abobala, M., On Refined Neutrosophic Matrices and Their Applications In Refined Neutrosophic

Algebraic Equations, Journal Of Mathematics, Hindawi, 2021

11. 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.

12. M. Abdel-Basset; E. Mohamed; G. Abdullah; and S. Florentin. "A novel model for evaluation Hospital

medical care systems based on plithogenic sets" Artificial Intelligence in Medicine 100 (2019), 101710.

13. M. Abdel-Basset; G. Gunasekaran Mohamed; G. Abdullah. C. Victor, "A Novel Intelligent Medical

Decision Support Model Based on soft Computing and Iot" IEEE Internet of Things Journal, Vol. 7,

(2019).

14. M. Abdel-Basset; E. Mohamed; G. Abdullah; G. Gunasekaran; L. Hooang Viet." A novel group decision

making model based on neutrosophic sets for heart disease diagnosis" Multimedia Tools and Applications,

1-26, (2019).

15. A. A Salama. Basic Structure of Some Classes of Neutrosophic Crisp Nearly Open Sets and Possible

Application to GIS Topology. Neutrosophic Sets and Systems, Vol. 7, 18-22, (2015).

16. A. A Salama; F. Smarandache. Neutrosophic Set Theory, Neutrosophic Sets and Systems, Vol. 5, 1-9,

(2014).

17. F. Smarandache, The Neutrosophic Triplet Group and its Application to physics, Seminar Universidad

National de Quilmes , Department of science and Technology, Beunos Aires, Argentina, 20 June 2014.

18. A. B.AL-Nafee; R.K. Al-Hamido; F.Smarandache. "Separation Axioms In Neutrosophic Crisp

Topological Spaces", Neutrosophic Sets and Systems, vol. 25, 25-32, (2019).

19. Abobala, M., Bal, M., and Hatip, A.," A Review On Recent Advantages In Algebraic Theory Of

Neutrosophic Matrices", International Journal of Neutrosophic Science, Vol. 17, 2021.

20. R.K. Al-Hamido, Q. H. Imran, K. A. Alghurabi, T. Gharibah, “On Neutrosophic Crisp Semi Alpha

Closed Sets”, Neutrosophic Sets and Systems”, vol. 21, 28-35, (2018).

21. Sankari, H., and Abobala, M., "Neutrosophic Linear Diophantine Equations With two Variables",

Neutrosophic Sets and Systems, Vol. 38, pp. 22-30, 2020.

22. Sankari, H., and Abobala, M." n-Refined Neutrosophic Modules", Neutrosophic Sets and Systems, Vol.

36, pp. 1-11. 2020.

23. Abobala, M., "AH-Subspaces in Neutrosophic Vector Spaces", International Journal of Neutrosophic

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

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

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

25. Agboola, A.A.A., "On Refined Neutrosophic Algebraic Structures," Neutrosophic Sets and

Systems,Vol.10, pp. 99-101. 2015.

26. Abobala, M., "Classical Homomorphisms Between Refined Neutrosophic Rings and Neutrosophic Rings",

International Journal of Neutrosophic Science, Vol. 5, pp. 72-75. 2020.

27. Q. H. Imran, F. Smarandache, R.K. Al-Hamido, R. Dhavasselan, “On Neutrosophic Semi Alpha open

Sets”, Neutrosophic Sets and Systems, vol. 18, 37-42, (2017).

28. Al-Hamido, R. K.; “A study of multi-Topological Spaces”, PhD Theses, AlBaath university , Syria,

(2019).

29. Al-Hamido, R. K.; “Neutrosophic Crisp Supra Bi-Topological Spaces”, International Journal of

Neutrosophic Science, Vol. 1, 66-73, (2018).

30. R.K. Al-Hamido, “Neutrosophic Crisp Bi-Topological Spaces”, Neutrosophic Sets and Systems, vol. 21,

66-73, (2018).

31. R.K. Al-Hamido, T. Gharibah, S. JafariF.Smarandache, “On Neutrosophic Crisp Topology via NTopology”,

Neutrosophic Sets and Systems, vol. 21, 96-109, (2018).

32. A. Hatip, "The Special Neutrosophic Functions," International Journal of Neutrosophic Science (IJNS), p.

13, 12 May 2020.\

33. Kandasamy, I., Kandasamy, V., and Smarandache, F., "Algebraic structure of Neutrosophic Duplets in

Neutrosophic Rings", Neutrosophic Sets and Systems, Vol. 18, pp. 85-95. 2018.

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

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

35. 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.

36. Aswad, F, M., " A Study of Neutrosophic Complex Number and Applications", Neutrosophic Knowledge,

Vol. 1, 2020.

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

neutrosophic Science, 2020.

38. 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.

39. M. Ali, F. Smarandache, M. Shabir and L. Vladareanu., "Generalization of Neutrosophic Rings and

Neutrosophic Fields", Neutrosophic Sets and Systems, vol. 5, pp. 9-14, 2014.

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

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

41. Abobala, M., " Semi Homomorphisms and Algebraic Relations Between Strong Refined Neutrosophic

Modules and Strong Neutrosophic Modules", Neutrosophic Sets and Systems, Vol. 39, 2021.

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

43. Abobala, M., On The Representation of Neutrosophic Matrices by Neutrosophic Linear Transformations,

Journal of Mathematics, Hindawi, 2021.

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

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

45. Kandasamy V, Smarandache F., and Kandasamy I., Special Fuzzy Matrices for Social Scientists . Printed

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

46. Abobala, M., Partial Foundation of Neutrosophic Number Theory, Neutrosophic Sets and Systems, Vol.

39 , 2021.

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

Neutrosophic Science, Vol. 6, 2020.

48. 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.

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

50. Abobala, M., "On Some Special Elements In Neutrosophic Rings and Refined Neutrosophic Rings",

Journal of New Theory, vol. 33, 2020.

51. Chellamani, P., and Ajay, D., "Pythagorean neutrosophic Fuzzy Graphs", International Journal of

Neutrosophic Science, Vol. 11, 2021.

52. Prem Kumar Singh, Fourth dimension data representation and its analysis using Turiyam Context, Journal

of Computer and Communications, 2021, Vol. 9, no. 6, pp. 222-

229,DOI: 10.4236/jcc.2021.96014, https://www.scirp.org/journal/paperinformation.aspx?paperid=110694

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

Neutrosophic Sets and Systems, Vol. 45, 2021.

54. Abobala, M., Hatip, A., Bal,M.," A Study Of Some Neutrosophic Clean Rings", International journal of

neutrosophic science, 2022.

55. Prem Kumar Singh, AntiGeometry and NeutroGeometry Characterization of Non-Euclidean Data Sets,

Journal of Neutrosophic and Fuzzy Systems, Nov 2021, Volume 1, Issue 1, pp. 24-33, ISSN:

, DOI: https://doi.org/10.54216/JNFS.0101012 [76] Singh, P,K., " Anti-geometry and NeutroGeometry

Characterization of Non-Euclidean Data", Journal of Neutrosophic and Fuzzy Systems, vol. 1, 2022

56. Abobala, M., and Hatip, A., "An Algebraic Approch To Neutrosophic Euclidean Geometry",

57. Singh, P,K., " Data With Turiyam Set for Fourth Dimension Quantum Information Processing", Journal of

Neutrosophic and Fuzzy Systems, vol.1, 2022.

58. Ibrahim, M., and Abobala, M., "An Introduction To Refined Neutrosophic Number Theory", Neutrosophic

Sets and Systems, Vol. 45, 2021.

59. Singh, P, K., Ahmad, K., Bal, M., Aswad, M.," On The Symbolic Turiyam Rings", Journal of

Neutrosophic and Fuzzy Systems, 2022.

60. Bal, M.,, Singh, P., Ahmad, K., and Aswad, M., " A Short Introduction To The Concept Of Symbolic

Turiyam Matrix", Neutrosophic and Fuzzy Systems, 2022.

61. Bal, M., Singh, P., and Ahmad, K., " An Introduction To The Symbolic Turiyam R-Modules and

Turiyam Modulo Integers", Neutrosophic and Fuzzy Systems, 2022.

62. Bal, M., Singh, P., and Ahmad, K., " An Introduction To The Symbolic Turiyam Vector Spaces and

Complex Numbers", Neutrosophic and Fuzzy Systems, 2022.