516 509

Title

On the Refined AH-Isometry and Its Applications in Refined Neutrosophic Surfaces

  Mehmet Celik 1 * ,   Ahmed Hatip 2

1  Department Of Mathematics, Gaziantep University, Gaziantep, Turkey
    (mathcelik@gmail.com)

2  Department Of Mathematics, Gaziantep University, Gaziantep, Turkey
    (Kollnaar5@gmail.com)


Doi   :   https://doi.org/10.54216/GJMSA.020103

Received: March 16, 2022 Accepted: July 09, 2022

Abstract :

The aim of this paper is to generalize the neutrosophic AH-isometry into the system of refined neutrosophic numbers, where it presents an isometer between the refined neutrosophic space with one/two neutrosophic dimensions and the cartesian product of classical Euclidean spaces.Also, many refined neutrosophic geometrical surfaces such as refined circles and lines will be handled according to the isometry.

Keywords :

Refined Neutrosophic Space; refined neutrosophic geometry; semi homomorphism; refined AH-isometry

References :

[1] J. Anuradha and V. S, "Neutrosophic Fuzzy Hierarchical Clustering for Dengue Analysis in Sri Lanka," Neutrosophic Sets and Systems, vol. 31, pp. 179-199, 2020.

[2]A. Chakraborty, B. Banik, S. P. Mondal, and S. Alam, " Arithmetic and Geometric Operators of Pentagonal Neutrosophic Number and its Application in Mobile Communication Service-Based MCGDM Problem," Neutrosophic Sets and Systems, vol. 32, pp. 61-79, 2020.

[3]S. K. Patro and F. Smarandache, "THE NEUTROSOPHIC STATISTICAL DISTRIBUTION, MORE PROBLEMS, MORE SOLUTIONS," Neutrosophic Sets and Systems, vol. 12, pp. 73-79, 2016.

[4] Abobala, M., Ziena, B,M., Doewes, R., and Hussein, Z., "The Representation Of Refined Neutrosophic Matrices By Refined Neutrosophic Linear Functions", International Journal Of Neutrosophic Science, 2022.

[5] Abobala, M., Bal, M., Aswad, M., "A Short Note On Some Novel Applications of Semi Module Homomorphisms", International journal of neutrosophic science, 2022.

[6] Abobala, M., Hatip, A., Bal,M.," A Study Of Some Neutrosophic Clean Rings", International journal of neutrosophic science, 2022.

[7] Hatip, A., "Neutrosophic Special Functions", International Journal of Neutrosophic Science,

[8] Alhamido, R., and Gharibah, T., "Neutrosophic Crisp Tri-Topological Spaces", Journal of New Theory, Vol. 23, pp.13-21, 2018.

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

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

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

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

 [13] G. Shahzadi, M. Akram and A. B. Saeid, "An Application of Single-Valued Neutrosophic Sets in Medical Diagnosis," Neutrosophic Sets and Systems, vol. 18, pp. 80-88, 2017.

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

[15] T.Chalapathi and L. Madhavi,. "Neutrosophic Boolean Rings", Neutrosophic Sets and Systems, Vol. 33, pp. 57-66, 2020.

[16] 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.

[17] 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.

[18] 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.

[19] Abobala, M., Hatip, A., and Bal, M., " A Review On Recent Advantages In Algebraic Theory Of Neutrosophic Matrices", International Journal of Neutrosophic Science, Vol.17, 2021.

[20] Olgun, N., and Khatib, A., "Neutrosophic Modules", Journal of Biostatistic and Biometric Application", Vol. 3, 2018.

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

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

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

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

[25] 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.

[26]

Mohammad Abobala, Ahmad Hatip, "An Algebraic Approach to Neutrosophic Euclidean Geometry," Neutrosophic Sets and Systems, pp. 114-123, 1 Jun 2021.

 


Cite this Article as :
Style #
MLA Mehmet Celik, Ahmed Hatip. "On the Refined AH-Isometry and Its Applications in Refined Neutrosophic Surfaces." Galoitica: Journal of Mathematical Structures and Applications, Vol. 2, No. 1, 2022 ,PP. 21-28 (Doi   :  https://doi.org/10.54216/GJMSA.020103)
APA Mehmet Celik, Ahmed Hatip. (2022). On the Refined AH-Isometry and Its Applications in Refined Neutrosophic Surfaces. Journal of Galoitica: Journal of Mathematical Structures and Applications, 2 ( 1 ), 21-28 (Doi   :  https://doi.org/10.54216/GJMSA.020103)
Chicago Mehmet Celik, Ahmed Hatip. "On the Refined AH-Isometry and Its Applications in Refined Neutrosophic Surfaces." Journal of Galoitica: Journal of Mathematical Structures and Applications, 2 no. 1 (2022): 21-28 (Doi   :  https://doi.org/10.54216/GJMSA.020103)
Harvard Mehmet Celik, Ahmed Hatip. (2022). On the Refined AH-Isometry and Its Applications in Refined Neutrosophic Surfaces. Journal of Galoitica: Journal of Mathematical Structures and Applications, 2 ( 1 ), 21-28 (Doi   :  https://doi.org/10.54216/GJMSA.020103)
Vancouver Mehmet Celik, Ahmed Hatip. On the Refined AH-Isometry and Its Applications in Refined Neutrosophic Surfaces. Journal of Galoitica: Journal of Mathematical Structures and Applications, (2022); 2 ( 1 ): 21-28 (Doi   :  https://doi.org/10.54216/GJMSA.020103)
IEEE Mehmet Celik, Ahmed Hatip, On the Refined AH-Isometry and Its Applications in Refined Neutrosophic Surfaces, Journal of Galoitica: Journal of Mathematical Structures and Applications, Vol. 2 , No. 1 , (2022) : 21-28 (Doi   :  https://doi.org/10.54216/GJMSA.020103)