ASPG Menu
search

American Scientific Publishing Group

verified Journal

International Journal of Neutrosophic Science

ISSN
Online: 2690-6805 Print: 2692-6148
Frequency

Continuous publication

Publication Model

Open access · Articles freely available online · APC applies after acceptance

International Journal of Neutrosophic Science
Full Length Article

Volume 27Issue 2PP: 58-67 • 2026

The Integration of Symbolic 2-Plithogenic and Symbolic 3-Plithogenic Rational Functions

Jenan Shtayat 1* ,
wael mahmoud mohammad salameh 2 ,
Ahmad A. Abubaker 3 ,
Esraa Aljubarah 4 ,
Ahmed Atallah Alsaraireh 5 ,
S. Kalaiselvan 6
1Department of mathematics, Yarmouk University, Irbid 21163, Jordan
2Faculty of Information Technology, Abu Dhabi University, Abu Dhabi, United Arab Emirates
3Faculty of Computer Studies, Arab Open University, Saudi Arabia
4Independent Researcher, Nabels, Palestine
5The university of Jordan–Aqaba Department of computer information systems, Jordan
6Department of Mathematics, Bannari Amman Institute of Technology, Sathyamangalam-638401, Tamil Nadu, India
* Corresponding Author.
Received: February 07, 2025 Revised: May 25, 2025 Accepted: July 06, 2025

Abstract

The primary aim of this study is to explore the integration of symbolic 2-plithogenic and 3 plithogenic rational functions by formulating explicit and simplified rules to facilitate their evaluation, by using the division symbolic 2-plithogenic and symbolic 3-plithogenic rational numbers respectively. In addition to the theoretical proof of these rules, relevant examples are provided to illustrate these ideas.

Keywords

Symbolic 2-plithogenic rational functions Symbolic 3-plithogenic rational functions Division Integral

References

 [1] Khan, M. A., and Ali, R., “Advanced neutrosophic decision-making framework for multi-criteria problems,” Journal of Computational and Theoretical Nanoscience, vol. 22, no. 5, pp. 1105–1114, 2025.

 

[2] A. A. A. Agboola, “On refined neutrosophic algebraic structures”, Neutrosophic Sets and Systems, vol. 10, pp. 99-101, 2015.

 

[3] M. Abobala, “On some special elements in neutrosophic rings and refined neutrosophic rings”, Journal of New Theory, vol. 33, 2020.

 

[4] Abobala, M., “On Refined Neutrosophic Matrices and Their Applications In Refined Neutrosophic Al-gebraic Equations”, Journal Of Mathematics, Hindawi, 2021.

 

[5] Zhang, Y., Li, J., and Wang, X., “Neutrosophic analysis of uncertainty in decision-making processes,” Journal of Intelligent Fuzzy Systems, vol. 38, no. 2, pp. 1239–1249, 2020.

 

[6] Albasheer, O., Hajjari., A., and Dalla., R., “On The Symbolic 3-Plithogenic Rings and Their Algebraic Properties”, Neutrosophic Sets and Systems, Vol 54, 2023.

 

[7] Ali, R., and Hasan, Z., “An Introduction To The Symbolic 3-Plithogenic Vector Spaces”, Galoitica Journal Of Mathematical Structures and Applications, Vol. 6, 2023.

 

 [8] Ali, R.; and Hasan, Z., “An Introduction to the Symbolic 3-Plithogenic Modules”, Galoitica Journal Of Mathematical Structures and Applications, Vol. 6, 2023.

 

[9] Alhasan, Y. A., Mohamed, M. E. A. M., Ahassan, Q., and Abdulfatah, R. A. “Division of 3-Refined Neutrosophic Numbers by using the Identification Method and the 3-Refined AH-Isometry”, Neutrosophic Sets and Systems, 80, 507-515, 2025.

 

[10] Alhasan, Y. A., Mohamed, M. E. A. M., Ahassan, Q., and Abdulfatah, R. A. “The Extended Study of the2-symbolic Plithogenic Numbers”,Plithogenic Log. Comp. Vol. 2 37–48, 2024.

 

[11] Basheer, O. A., Hajjari, A., and Dalla, R., “On the symbolic 3-plithogenic rings and their algebraic properties”, Neutrosophic Sets and Systems, 54(1), 5, 2023.

 

[12] Gupta, R., and Sharma, P., “A new approach to neutrosophic set theory and its applications in real-world problems,” of Applied Mathematics and Computation, vol. 405, p. 126302, 2021.

 

[13] Merkepci, H., “On Novel Results about the Algebraic Properties of Symbolic 3-Plithogenic and 4- Plithogenic Real Square Matrices”, Symmetry, 2023.

 

[14] Musa, I. A., and Alhasan, Y. A., “The integral of 2-refined rational neutrosophic functions”, Neutrosophic Sets and Systems, 80(1), 40, 2025.

 

[15] Smarandache, F., “Introduction to the Symbolic Plithogenic Algebraic Structures (revisited)”, Neutrosophic Sets and Systems, vol. 53, 2023.

Cite This Article

Choose your preferred format

format_quote
Shtayat, Jenan, salameh, wael mahmoud mohammad, Abubaker, Ahmad A., Aljubarah, Esraa, Alsaraireh, Ahmed Atallah, Kalaiselvan, S.. "The Integration of Symbolic 2-Plithogenic and Symbolic 3-Plithogenic Rational Functions." International Journal of Neutrosophic Science, vol. Volume 27, no. Issue 2, 2026, pp. 58-67. DOI: https://doi.org/10.54216/IJNS.270206
Shtayat, J., salameh, w., Abubaker, A., Aljubarah, E., Alsaraireh, A., Kalaiselvan, S. (2026). The Integration of Symbolic 2-Plithogenic and Symbolic 3-Plithogenic Rational Functions. International Journal of Neutrosophic Science, Volume 27(Issue 2), 58-67. DOI: https://doi.org/10.54216/IJNS.270206
Shtayat, Jenan, salameh, wael mahmoud mohammad, Abubaker, Ahmad A., Aljubarah, Esraa, Alsaraireh, Ahmed Atallah, Kalaiselvan, S.. "The Integration of Symbolic 2-Plithogenic and Symbolic 3-Plithogenic Rational Functions." International Journal of Neutrosophic Science Volume 27, no. Issue 2 (2026): 58-67. DOI: https://doi.org/10.54216/IJNS.270206
Shtayat, J., salameh, w., Abubaker, A., Aljubarah, E., Alsaraireh, A., Kalaiselvan, S. (2026) 'The Integration of Symbolic 2-Plithogenic and Symbolic 3-Plithogenic Rational Functions', International Journal of Neutrosophic Science, Volume 27(Issue 2), pp. 58-67. DOI: https://doi.org/10.54216/IJNS.270206
Shtayat J, salameh w, Abubaker A, Aljubarah E, Alsaraireh A, Kalaiselvan S. The Integration of Symbolic 2-Plithogenic and Symbolic 3-Plithogenic Rational Functions. International Journal of Neutrosophic Science. 2026;Volume 27(Issue 2):58-67. DOI: https://doi.org/10.54216/IJNS.270206
J. Shtayat, w. salameh, A. Abubaker, E. Aljubarah, A. Alsaraireh, S. Kalaiselvan, "The Integration of Symbolic 2-Plithogenic and Symbolic 3-Plithogenic Rational Functions," International Journal of Neutrosophic Science, vol. Volume 27, no. Issue 2, pp. 58-67, 2026. DOI: https://doi.org/10.54216/IJNS.270206
Digital Archive Ready