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International Journal of Neutrosophic Science
Volume 22 , Issue 2, PP: 131-143 , 2023 | Cite this article as | XML | Html |PDF

Title

The Symbolic Plithogenic Complex Numbers

  Yaser Ahmad Alhasan 1 * ,   Raja Abdullah Abdulfatah 2

1  Deanship of the Preparatory Year, Prince Sattam bin Abdulaziz University, Alkharj, SaudiArabia
    (y.alhasan@psau.edu.sa)

2  Deanship of the Preparatory Year, Prince Sattam bin Abdulaziz University, Alkharj, SaudiArabia
    (r.abdulfatah@psau.edu.sa)


Doi   :   https://doi.org/10.54216/IJNS.220211

Received: April 28, 2023 Revised: June 25, 2023 Accepted: September 28, 2023

Abstract :

In this paper, we presented symbolic plithogenic complex numbers, and studied the arithmetic operations: addition, subtraction, multiplication and division. Also, we defined the conjugate, inverted and the absolute value of symbolic plithogenic complex numbers, the theories related to the conjugate of symbolic plithogenic complex numbers are proved.

Keywords :

symbolic plithogenic numbers; symbolic plithogenic complex numbers; conjugate complex plithogenic numbers.

References :

[1] F. Smarandache, " Introduction to the Symbolic Plithogenic Algebraic Structures (revisited)". Neutrosophic Sets and Systems, Volume 53, PP: 653-665, 2023

 

[2] F. Smarandache, "Plithogeny, Plithogenic Set, Logic, Probability, and Statistics", 2017.

 

[3] F. Smarandache, "An Overview of Plithogenic Set and Symbolic Plithogenic Algebraic Structures", Journal of Fuzzy Extension and Applications, Volume 4, pp. 48-55, 2023.

 

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

[5] A. Rawashdeh, "An Introduction To The Symbolic 3-plithogenic Number Theory", Neoma Journal Of Mathematics and Computer Science, 2023.

 

[6] M. Abobala, and A. Allouf, " On A Novel Security Scheme for The Encryption and Decryption Of 2×2 Fuzzy Matrices with Rational Entries Based on The Algebra of Neutrosophic Integers and El-Gamal Crypto-System", Neutrosophic Sets and Systems, vol.54, 2023.

 

[7] 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.


Cite this Article as :
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MLA Yaser Ahmad Alhasan, Raja Abdullah Abdulfatah. "The Symbolic Plithogenic Complex Numbers." International Journal of Neutrosophic Science, Vol. 22, No. 2, 2023 ,PP. 131-143 (Doi   :  https://doi.org/10.54216/IJNS.220211)
APA Yaser Ahmad Alhasan, Raja Abdullah Abdulfatah. (2023). The Symbolic Plithogenic Complex Numbers. Journal of International Journal of Neutrosophic Science, 22 ( 2 ), 131-143 (Doi   :  https://doi.org/10.54216/IJNS.220211)
Chicago Yaser Ahmad Alhasan, Raja Abdullah Abdulfatah. "The Symbolic Plithogenic Complex Numbers." Journal of International Journal of Neutrosophic Science, 22 no. 2 (2023): 131-143 (Doi   :  https://doi.org/10.54216/IJNS.220211)
Harvard Yaser Ahmad Alhasan, Raja Abdullah Abdulfatah. (2023). The Symbolic Plithogenic Complex Numbers. Journal of International Journal of Neutrosophic Science, 22 ( 2 ), 131-143 (Doi   :  https://doi.org/10.54216/IJNS.220211)
Vancouver Yaser Ahmad Alhasan, Raja Abdullah Abdulfatah. The Symbolic Plithogenic Complex Numbers. Journal of International Journal of Neutrosophic Science, (2023); 22 ( 2 ): 131-143 (Doi   :  https://doi.org/10.54216/IJNS.220211)
IEEE Yaser Ahmad Alhasan, Raja Abdullah Abdulfatah, The Symbolic Plithogenic Complex Numbers, Journal of International Journal of Neutrosophic Science, Vol. 22 , No. 2 , (2023) : 131-143 (Doi   :  https://doi.org/10.54216/IJNS.220211)