ASPG Menu
search

American Scientific Publishing Group

verified Journal

Journal of Neutrosophic and Fuzzy Systems

ISSN
Online: 2771-6449 Print: 2771-6430
Frequency

Continuous publication

Publication Model

Open access journal. All articles are freely available online with no APC.

Journal of Neutrosophic and Fuzzy Systems
Full Length Article

Volume 7Issue 2PP: 24-29 • 2023

On a Two-Fold Algebra Based on the Standard Fuzzy Number Theoretical System

Mohammad Abobala 1*
1Tishreen University, Department of Mathematics, Latakia, Syria
* Corresponding Author.
Received: May 18, 2023 Revised: September 19, 2023 Accepted: November 14, 2023

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.

[3] T. M. Anthony, H. Sherwood, A characterization of fuzzy subgroups, Fuzzy Sets and Systems 7 (1982), 297-305.

[4] W. M.Wu, “Normal fuzzy subgroups,” Fuzzy Mathematics, vol.1, no. 1, pp. 21–30, 1981.

[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.

[6] P.K. Sharma , “( α , β ) – Cut of Intuitionistic fuzzy Groups” International Mathematical Forum ,Vol. 6, 2011 , no. 53 , 2605-2614.

[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).

 

Cite This Article

Choose your preferred format

format_quote
Abobala, Mohammad. "On a Two-Fold Algebra Based on the Standard Fuzzy Number Theoretical System." Journal of Neutrosophic and Fuzzy Systems, vol. Volume 7, no. Issue 2, 2023, pp. 24-29. DOI: https://doi.org/10.54216/JNFS.070202
Abobala, M. (2023). On a Two-Fold Algebra Based on the Standard Fuzzy Number Theoretical System. Journal of Neutrosophic and Fuzzy Systems, Volume 7(Issue 2), 24-29. DOI: https://doi.org/10.54216/JNFS.070202
Abobala, Mohammad. "On a Two-Fold Algebra Based on the Standard Fuzzy Number Theoretical System." Journal of Neutrosophic and Fuzzy Systems Volume 7, no. Issue 2 (2023): 24-29. DOI: https://doi.org/10.54216/JNFS.070202
Abobala, M. (2023) 'On a Two-Fold Algebra Based on the Standard Fuzzy Number Theoretical System', Journal of Neutrosophic and Fuzzy Systems, Volume 7(Issue 2), pp. 24-29. DOI: https://doi.org/10.54216/JNFS.070202
Abobala M. On a Two-Fold Algebra Based on the Standard Fuzzy Number Theoretical System. Journal of Neutrosophic and Fuzzy Systems. 2023;Volume 7(Issue 2):24-29. DOI: https://doi.org/10.54216/JNFS.070202
M. Abobala, "On a Two-Fold Algebra Based on the Standard Fuzzy Number Theoretical System," Journal of Neutrosophic and Fuzzy Systems, vol. Volume 7, no. Issue 2, pp. 24-29, 2023. DOI: https://doi.org/10.54216/JNFS.070202
Digital Archive Ready