Galoitica: Journal of Mathematical Structures and Applications

Journal DOI

https://doi.org/10.54216/GJSMA

Submit Your Paper

2834-5568ISSN (Online)

Volume 2 , Issue 1 , PP: 21-28, 2022 | Cite this article as | XML | Html | PDF | Full Length Article

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 :
    Celik, Mehmet. , Hatip, Ahmed. On the Refined AH-Isometry and Its Applications in Refined Neutrosophic Surfaces. Galoitica: Journal of Mathematical Structures and Applications, vol. , no. , 2022, pp. 21-28. DOI: https://doi.org/10.54216/GJMSA.020103
    Celik, M. Hatip, A. (2022). On the Refined AH-Isometry and Its Applications in Refined Neutrosophic Surfaces. Galoitica: Journal of Mathematical Structures and Applications, (), 21-28. DOI: https://doi.org/10.54216/GJMSA.020103
    Celik, Mehmet. Hatip, Ahmed. On the Refined AH-Isometry and Its Applications in Refined Neutrosophic Surfaces. Galoitica: Journal of Mathematical Structures and Applications , no. (2022): 21-28. DOI: https://doi.org/10.54216/GJMSA.020103
    Celik, M. , Hatip, A. (2022) . On the Refined AH-Isometry and Its Applications in Refined Neutrosophic Surfaces. Galoitica: Journal of Mathematical Structures and Applications , () , 21-28 . DOI: https://doi.org/10.54216/GJMSA.020103
    Celik M. , Hatip A. [2022]. On the Refined AH-Isometry and Its Applications in Refined Neutrosophic Surfaces. Galoitica: Journal of Mathematical Structures and Applications. (): 21-28. DOI: https://doi.org/10.54216/GJMSA.020103
    Celik, M. Hatip, A. "On the Refined AH-Isometry and Its Applications in Refined Neutrosophic Surfaces," Galoitica: Journal of Mathematical Structures and Applications, vol. , no. , pp. 21-28, 2022. DOI: https://doi.org/10.54216/GJMSA.020103