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International Journal of Neutrosophic Science
Volume 23 , Issue 4, PP: 395-404 , 2024 | Cite this article as | XML | Html |PDF

Title

Fuzzy Metric Space of Weak Fuzzy Complex Numbers and Plithogenic Metric Spaces

  Hazim M. Wali Al-Tameemi 1 *

1  The Osol Aldeen Private University College, Iraq
    (Drhazim8@oue.edu.iq)


Doi   :   https://doi.org/10.54216/IJNS.230432

Received: June 17, 2023 Revised: January 26, 2024 Accepted: March 18, 2024

Abstract :

The main goal of this work is to define for the first time the concept of the metric space of weak fuzzy complex numbers, where we present a suitable metric defined over the ring of weak fuzzy complex numbers, and we study the open balls, closed balls, and torus generated from its structure. On the other hand, we study the symbolic 2-plithogenic and 3-plithogenic/4-plithogenic metric space and its ability to be generated from classical metrics, with many interesting properties related to its analytical structure. Also, many examples will be illustrated to clarify and explain the novelty of this work.

Keywords :

Fuzzy number; weak fuzzy complex number; weak fuzzy complex metric space; plithogenic set.

References :

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[2] Ali, R. (2023). On The Weak Fuzzy Complex Inner Products On Weak Fuzzy Complex Vector Spaces. Neoma Journal Of Mathematics and Computer Science. Vol.1. DOI: 10.5281/zenodo.7953682

[3] Alhasan,Y., Alfahal, A., Abdulfatah, R., Nordo, G.& Zahra, M.(2023). On Some Novel Results About Weak Fuzzy Complex Matrices. International Journal of Neutrosophic Science (IJNS), Vol. 21, No. 01, PP. 134-140. https://doi.org/10.54216/IJNS.210112

[4] Razouk,L., Mahmoud, S., & Ali, M.(2023). A Computer Program for The System Of Weak Fuzzy Complex Numbers And Their Arithmetic Operations Using Python. Galoitica: Journal Of Mathematical Structures and Applications, Vol. 08, No. 01, PP. 45-51. https://doi.org/10.54216/GJMSA.080104

[5] Alfahal, A., Abobala, M., Alhasan, Y., & Abdulfatah, R. (2023). Generating Weak Fuzzy Complex and Anti Weak Fuzzy Complex Integer Solutions for Pythagoras Diophantine Equation X2 +Y2=Z2 . International Journal of Neutrosophic Science (IJNS), Vol. 22, No. 01, PP. 08-14. https://doi.org/10.54216/IJNS.220201.

[5] M. B. Zeina, N. Altounji, M. Abobala, and Y. Karmouta, “Introduction to Symbolic 2-Plithogenic Probability Theory,” Galoitica: Journal of Mathematical Structures and Applications, vol. 7, no. 1, 2023.

[6] Ben Othman, K., Von Shtawzen, O., Khaldi, A., and Ali, R., "On the Concept of Symbolic 7-Plithogenic Real Matrices", Pure Mathematics For Theoretical Computer Science, Vol.1, 2023.

[7] Florentin Smarandache: Plithogenic Set, an Extension of Crisp, Fuzzy, Intuitionistic Fuzzy, and Neutrosophic Sets – Revisited, Neutrosophic Sets and Systems, vol. 21, 2018, pp. 153-166.

[8] Ben Othman, K., Von Shtawzen, O., Khaldi, A., and Ali, R., "On the Symbolic 8-Plithogenic Matrices", Pure Mathematics for Theoretical Computer Science, Vol.1, 2023.

[9] Merkepci, H., and Abobala, M., " On the Symbolic 2-Plithogenic Rings", International Journal of Neutrosophic Science, 2023.

[10] Galarza, F., Flores, M., Rivero, D., & Abobala, M. (2023). On Weak Fuzzy Complex Pythagoras Quadruples. International Journal of Neutrosophic Science (IJNS), Vol. 22, No. 02, PP. 108-113. https://doi.org/10.54216/IJNS.220209

[11] Alhasan, Y., Xu, L., Abdulfatah, R., & Alfahal, A. (2023). The Geometrical Characterization for The Solutions of a Vectorial Equation By Using Weak Fuzzy Complex Numbers and Other Generalizations Of Real Numbers. International Journal of Neutrosophic Science (IJNS), Vol. 21, No. 04, PP. 155-159. https://doi.org/10.54216/IJNS.210415

[12] Taffach, N., and Ben Othman, K., " An Introduction to Symbolic 2-Plithogenic Modules Over Symbolic 2-Plithogenic Rings", Neutrosophic Sets and Systems, Vol 54, 2023.

[13] Rawashdeh, A., "An Introduction to The Symbolic 3-plithogenic Number Theory", Neoma Journal of Mathematics and Computer Science, 2023.

[14] Sankari, H., and Abobala, M., " On the Classification of The Group of Units of Rational and Real 2-Cyclic Refined Neutrosophic Rings", Neutrosophic Sets and Systems, 2023.

[15] Sankari, H., and Abobala, M., " On the Algebraic Homomorphisms Between Symbolic 2-plithogenic Rings And 2-cyclic Refined Rings", Neutrosophic Sets and Systems, 2023.

[16] Von Shtawzen, O., Rawashdeh, A., and Zayood, K., " On the Symbolic 2-Plithogenic Split-Complex Real Square Matrices and Their Algebraic Properties", Neutrosophic Sets and Systems, 2023.

[17] Salman, N, K., " On The Computing Of Symbolic 2-Plithogenic And 3-Plithogenic Complex Roots Of Unity", Neutrosophic Sets and Systems, 2023.

 

 


Cite this Article as :
Style #
MLA Hazim M. Wali Al-Tameemi. "Fuzzy Metric Space of Weak Fuzzy Complex Numbers and Plithogenic Metric Spaces." International Journal of Neutrosophic Science, Vol. 23, No. 4, 2024 ,PP. 395-404 (Doi   :  https://doi.org/10.54216/IJNS.230432)
APA Hazim M. Wali Al-Tameemi. (2024). Fuzzy Metric Space of Weak Fuzzy Complex Numbers and Plithogenic Metric Spaces. Journal of International Journal of Neutrosophic Science, 23 ( 4 ), 395-404 (Doi   :  https://doi.org/10.54216/IJNS.230432)
Chicago Hazim M. Wali Al-Tameemi. "Fuzzy Metric Space of Weak Fuzzy Complex Numbers and Plithogenic Metric Spaces." Journal of International Journal of Neutrosophic Science, 23 no. 4 (2024): 395-404 (Doi   :  https://doi.org/10.54216/IJNS.230432)
Harvard Hazim M. Wali Al-Tameemi. (2024). Fuzzy Metric Space of Weak Fuzzy Complex Numbers and Plithogenic Metric Spaces. Journal of International Journal of Neutrosophic Science, 23 ( 4 ), 395-404 (Doi   :  https://doi.org/10.54216/IJNS.230432)
Vancouver Hazim M. Wali Al-Tameemi. Fuzzy Metric Space of Weak Fuzzy Complex Numbers and Plithogenic Metric Spaces. Journal of International Journal of Neutrosophic Science, (2024); 23 ( 4 ): 395-404 (Doi   :  https://doi.org/10.54216/IJNS.230432)
IEEE Hazim M. Wali Al-Tameemi, Fuzzy Metric Space of Weak Fuzzy Complex Numbers and Plithogenic Metric Spaces, Journal of International Journal of Neutrosophic Science, Vol. 23 , No. 4 , (2024) : 395-404 (Doi   :  https://doi.org/10.54216/IJNS.230432)