1
Tishreen University, Department of Mathematics, Latakia, Syria
(Mohammadabobala777@gmail.com)
Abstract :
This paper is dedicated to studying the algebraic structure generated from the fusion of two-fold algebras with the standard fuzzy number theoretical system, where the novel fuzzy algebraic structure will be defined with a well-defined binary operation, and then its substructures will be studied concerning the corresponding operation such as hyper/under ideals, and two-fold fuzzy homomorphisms. Also, many examples will be illustrated to clarify the validity of our work.
Keywords :
two-fold algebra , fuzzy number theoretical system , two-fold fuzzy algebra , two-fold fuzzy homomorphism.
References :
[1] A. Rosenfeld, Fuzzy groups, J. Math. Anal. Appl. 35 ( 1971), 512-517.
[2] P. Sivaramakrishna Das, Fuzzy groups and level subgroups, J. Math. Anal. Appl. 84 (1981), 264-269.
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[5] Palaniappan, N, Naganathan,S and Arjunan, K “ A study on Intuitionistic L-Fuzzy Subgroups”, Applied Mathematical Sciences, vol. 3 , 2009, no. 53 , 2619-2624.
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[7] Florentine Smarandache. "Neutrosophic Two-Fold Algebra", Plithogenic Logic and Computation, Vol.1, No.1 2024. PP.11-15.
[8] 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).
| Style | # |
|---|---|
| MLA | Mohammad Abobala. "On a Two-Fold Algebra Based on the Standard Fuzzy Number Theoretical System." Full Length Article, Vol. 7, No. 2, 2023 ,PP. 24-29 (Doi : https://doi.org/10.54216/JNFS.070202) |
| APA | Mohammad Abobala. (2023). On a Two-Fold Algebra Based on the Standard Fuzzy Number Theoretical System. Journal of Full Length Article, 7 ( 2 ), 24-29 (Doi : https://doi.org/10.54216/JNFS.070202) |
| Chicago | Mohammad Abobala. "On a Two-Fold Algebra Based on the Standard Fuzzy Number Theoretical System." Journal of Full Length Article, 7 no. 2 (2023): 24-29 (Doi : https://doi.org/10.54216/JNFS.070202) |
| Harvard | Mohammad Abobala. (2023). On a Two-Fold Algebra Based on the Standard Fuzzy Number Theoretical System. Journal of Full Length Article, 7 ( 2 ), 24-29 (Doi : https://doi.org/10.54216/JNFS.070202) |
| Vancouver | Mohammad Abobala. On a Two-Fold Algebra Based on the Standard Fuzzy Number Theoretical System. Journal of Full Length Article, (2023); 7 ( 2 ): 24-29 (Doi : https://doi.org/10.54216/JNFS.070202) |
| IEEE | Mohammad Abobala, On a Two-Fold Algebra Based on the Standard Fuzzy Number Theoretical System, Journal of Full Length Article, Vol. 7 , No. 2 , (2023) : 24-29 (Doi : https://doi.org/10.54216/JNFS.070202) |