Volume 25 • Issue 1 • PP: 23-37 • 2025
On Some Topological Spaces Based On Symbolic n-Plithogenic Intervals
Open Access & Copyright
© 2025 The Author(s). Published by ASPG. This article is licensed under the Creative Commons Attribution 4.0 International License (CC BY 4.0).
View PDF Abstract
In this paper, we present the topological space of intervals based symbolic m-plithogenic real numbers of orders between 2 and 5, where we clarify how m-plithogenic real intervals can be expressed according to the symbolic plithogenic partial order relation, and we use these intervals to build a topological space. On the other hand, many illustrated and related examples on open and closed sets will be provided to explain the validity of our approach.
Keywords
References
[1] I. M. Hanafy, A. A. Salama and K.M. Mahfouz (2013).Neutrosophic crisp events and its probability.International Journal of Mathematics and Computer Applications Research,3(1),171-178.
[2] Kim, J., Lee, J. G., & Hur, K. (2021). Intuitionistic neutrosophic crisp sets and their application to topology. Infinite Study.
[3] A. M. AL-Odhari. (2015).On infra topological space. International Journal of Mathematical Archive, 6(11), 179-184.
[4] Sankari, H., and Abobala, M. (2020). Neutrosophic Linear Diophantine Equations With two variables. Neutrosophic Sets and Systems, Vol. 38, pp. 22-30.
[5] Abobala, M., and Allouf, A.(2023).On A Novel Security Scheme for The Encryption and Decryption of 2 x 2 Fuzzy Matrices with Rational Entries Based on The Algebra of Neutrosophic Integers and El-Gamal Crypto-System. Neutrosophic Sets and Systems, vol.54.
[6] T.Qawasmeh ,R.Hatamleh .(2023).A new contraction based on H-simulation functions in the frame of extended b-metric spaces and application. International Journal of Electrical and Computer Engineering 13 (4),4212-4221.
[7] Hasan Sankari, Mohammad Abobala. (2023). On a Generalization of RSA Crypto-system By Using 2-Cyclic Refined Integers. Journal of Cybersecurity and Information Management, 12(1),67- 73 (Doi: https://doi.org/10.54216/JCIM.120106).
[8] Merkepci, M., & Abobala, M. (2023). Security Model for Encrypting Uncertain Rational Data Units Based on Refined Neutrosophic Integers Fusion and El Gamal Algorithm. Infinite Study.
[9] T.Qawasmeh, A. Qazza, R. Hatamleh, M.W. Alomari, R. Saadeh. (2023). Further accurate numerical radius inequalities. Axiom-MDPI, 12 (8), 801.
[10] . AL-Nafee, A. B., Al-Hamido, R. K., & Smarandache, F. (2019). Separation axioms in neutrosophic crisp topological spaces. Infinite Study.
[11] . Riad K. Al-Hamido. (2018). Neutrosophic crisp bi-topological spaces. Neutrosophic Sets and Systems 21, 66-73.
[12] Hatamleh, R., Zolotarev, V. A.( 2015).On Model Representations of Non-Selfadjoint Operators with Infinitely Dimensional Imaginary Component. Journal of Mathematical Physics, Analysis, Geometry,11(2), 174 -186. https://doi.org/10.15407/mag11.02.174
[13] Alfahal, A., Alhasan, Y., Abdulfatah, R., Mehmood, A., Kadhim, M.(2023).On Symbolic 2-Plithogenic Real Matrices and Their Algebraic Properties. International Journal of Neutrosophic Science, Vol. 21, PP. 96-104.
[14] Ayman Hazaymeh, Rania Saadeh, Raed Hatamleh, Mohammad W Alomari, Ahmad Qazza.( 2023).A Perturbed Milne’s Quadrature Rule for n-Times Differentiable Functions with Lp-Error Estimates. Axioms-MDPI,12(9),803.
[15] Basheer, O. A., Hajjari, A., & Dalla, R. (2023). On The Symbolic 3-Plithogenic Rings and Their Algebraic Properties. Neutrosophic Sets and Systems, 54(1),5.
[16] Hatamleh, R., Zolotarev, V. A.(2006).Triangular Models of Commutative Systems of Linear Operators Close to Unitary Operators.Ukrainian Mathematical Journal,68(5),791–811. https://doi.org/10.1007/s11253-016-1258-6
[17] Basheer, O. A., Hajjari, A., & Dalla, R. (2023). On The Symbolic 3-Plithogenic Rings and Their Algebraic Properties. Neutrosophic Sets and Systems, 54(1),5.
[18] Merkepci, H., & Abobala, M. (2023). On The Symbolic 2-Plithogenic Rings. Infinite Study.
[19] Merkepci, H., & Rawashdeh, A. (2023). On The Symbolic 2-Plithogenic Number Theory and Integers. Neutrosophic Sets and Systems, 54(1),10.
[20] Merkepçi, H. (2023). On Novel Results about the Algebraic Properties of Symbolic 3-Plithogenic and 4-Plithogenic Real Square Matrices. Symmetry, 15(8), 1494.
[21] Heilat, A. S., Zureigat, H., Hatamleh, R., Batiha, B.(2021 ).New Spline Method for Solving Linear Two-Point Boundar Value Problems. European Journal of Pure and Applied Mathematics, 14(4), 1283–1294.
[22] Ben Othman, K. (2023). On Some Algorithms For Solving Symbolic 3-Plithogenic Equations. Neoma Journal Of Mathematics and Computer Science, 12.
[23] Al-Husban, A., Amourah, A., & Jaber, J. J. (2020). Bipolar complex fuzzy sets and their properties. Italian Journal of Pure and Applied Mathematics, 43,754-761.
[24] Al-Husban, A., & Salleh, A. R. (2015). Complex fuzzy ring. In 2015 International Conference on Research and Education in Mathematics (ICREM7) (pp. 241-245). IEEE.
[25] Prabakaran, P., & Kalaiselvan, S. (2023). On Some Algebraic Properties of Symbolic 2-Plithogenic Square Matrices. Neutrosophic Sets and Systems, 59(1), 24.
[26] Al-Husban, A., Al-Qadri, M. O., Saadeh, R., Qazza, A., & Almomani, H. H. (2022). Multi-fuzzy rings. WSEAS Trans. Math, 21, 701-706.
[27] Prabakaran, P., & Smarandache, F.(2023). On Clean and Nil-clean Symbolic 2-Plithogenic Rings. Infinite Study.
Cite This Article
Choose your preferred format
Publisher's Note
The statements, opinions, and data presented in this article are solely those of the author(s) and do not necessarily represent those of ASPG, the journal, or its editors. ASPG and the editors disclaim responsibility for any harm arising from the use of any ideas, methods, instructions, or products described in this article, to the fullest extent permitted by applicable law.