On The Two-Fold Neutrosophic Groups and Their Algebra Properties

Ahmed

doi:https://doi.org/10.54216/JNFS.090103

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Volume 9 • Issue 1 • PP: 28-31 • 2024

On The Two-Fold Neutrosophic Groups and Their Algebra Properties

Ahmed Hatip ^1*

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¹Department of Mathematics, Gaziantep University, Gaziantep, Turkey

* Corresponding Author.

DOI https://doi.org/10.54216/JNFS.090103

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Received: December 22, 2023 Revised: March 17, 2024 Accepted: July 12, 2024

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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

Two-fold algebra Group Neutrosophic group

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

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Hatip, Ahmed. "On The Two-Fold Neutrosophic Groups and Their Algebra Properties." Journal of Neutrosophic and Fuzzy Systems, vol. Volume 9, no. Issue 1, 2024, pp. 28-31. DOI: https://doi.org/10.54216/JNFS.090103

Hatip, A. (2024). On The Two-Fold Neutrosophic Groups and Their Algebra Properties. Journal of Neutrosophic and Fuzzy Systems, Volume 9(Issue 1), 28-31. DOI: https://doi.org/10.54216/JNFS.090103

Hatip, Ahmed. "On The Two-Fold Neutrosophic Groups and Their Algebra Properties." Journal of Neutrosophic and Fuzzy Systems Volume 9, no. Issue 1 (2024): 28-31. DOI: https://doi.org/10.54216/JNFS.090103

Hatip, A. (2024) 'On The Two-Fold Neutrosophic Groups and Their Algebra Properties', Journal of Neutrosophic and Fuzzy Systems, Volume 9(Issue 1), pp. 28-31. DOI: https://doi.org/10.54216/JNFS.090103

Hatip A. On The Two-Fold Neutrosophic Groups and Their Algebra Properties. Journal of Neutrosophic and Fuzzy Systems. 2024;Volume 9(Issue 1):28-31. DOI: https://doi.org/10.54216/JNFS.090103

A. Hatip, "On The Two-Fold Neutrosophic Groups and Their Algebra Properties," Journal of Neutrosophic and Fuzzy Systems, vol. Volume 9, no. Issue 1, pp. 28-31, 2024. DOI: https://doi.org/10.54216/JNFS.090103

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