Volume 9 • Issue 1 • PP: 28-31 • 2024
On The Two-Fold Neutrosophic Groups and Their Algebra Properties
Open Access & Copyright
© 2024 The Author(s). Published by ASPG. This article is licensed under the Creative Commons Attribution 4.0 International License (CC BY 4.0).
Abstract
This paper is dedicated to define and study for the first time the concept of two-fold neutrosophic group by combining two-fold algebras with the classical concept of neutrosophic group. We study the elementary properties of this novel concept by many related theorems and illustrated examples.
Keywords
References
[1] Florentine Smarandache. "Neutrosophic Two-Fold Algebra", Plithogenic Logic and Computation, Vol.1, No.1 2024. PP.11-15.
[2] Mohammad Abobala. "On The Foundations of Fuzzy Number Theory and Fuzzy Diophantine Equations." Galoitica: Journal of Mathematical Structures and Applications, Vol. 10, No. 1, 2023, PP. 17-25 (Doi: https://doi.org/10.54216/GJMSA.0100102).
[3] Mohammad Abobala. (2023). On a Two-Fold Algebra Based on the Standard Fuzzy Number Theoretical System. Journal of Neutrosophic and Fuzzy Systems, 7 (2), 24-29 (DOI: https://doi.org/10.54216/JNFS.070202).
[4] Ahmed Hatip, Necati Olgun. (2023). On the Concepts of Two-Fold Fuzzy Vector Spaces and Algebraic Modules. Journal of Neutrosophic and Fuzzy Systems, 7 (2), 46-52 (DOI: https://doi.org/10.54216/JNFS.070205).
[5] Abdallah Shihadeh, Khaled Ahmad Mohammad Matarneh, Raed Hatamleh, Randa Bashir Yousef Hijazeen, Mowafaq Omar Al-Qadri, Abdallah Al-Husban. (2024). An Example of Two-Fold Fuzzy Algebras Based On Neutrosophic Real Numbers, Neutrosophic Sets and Systems, Vol. 67.
[6] Raed Hatamleh, Ayman Hazaymeh, Finding Minimal Units in Several Two-Fold Fuzzy Finite Neutrosophic Rings, Neutrosophic Sets and Systems, Vol. 70, 2024, pp. 1-16. DOI: 10.5281/zenodo.13160839.
[7] Nawar Hazim Mohammed, On The Solutions of Some Different Types of Two-Fold Fuzzy and Neutrosophic Differential Equations, Neutrosophic Sets and Systems, Vol. 70, 2024, pp. 359-368. DOI: 10.5281/zenodo.13177544.
[8] Nabil Khuder Salman, On the Special Gamma Function Over the Complex Two-Fold Algebras, Neutrosophic Sets and Systems, Vol. 68, 2024, pp. 26-38. DOI: 10.5281/zenodo.11406461
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.