International Journal of Neutrosophic Science

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Volume 25 , Issue 1 , PP: 172-178, 2025 | Cite this article as | XML | Html | PDF | Full Length Article

The Properties of Two-Fold Algebra Based on the n-standard Fuzzy Number Theoretical System

Raed Hatamleh 1 * , Ayman Hazaymeh 2

  • 1 Department of Mathematics, Faculty of Science and Information Technology, Jadara University, P.O. Box 733, Irbid 21110, Jordan - (raed@jadara.edu.jo)
  • 2 Department of Mathematics, Faculty of Science and Information Technology, Jadara University, P.O. Box 733, Irbid 21110, Jordan - (aymanha@jadara.edu.jo)
  • Doi: https://doi.org/10.54216/IJNS.250115

    Received: September 20, 2023 Revised: February 02, 2024 Accepted: June 02, 2024
    Abstract

    In this paper, we study the two-fold algebra based on the n-standard fuzzy number theoretical system as a special type of two-fold fuzzy algebras, where we study the elementary properties of the algebraic operations defined over this system. Also, we prove many results that describe the relations between two-fold substructures and sub-algebras defined by fuzzy number theoretical systems. On the other hand, we provide many different examples to explain our results.

    Keywords :

    n-standard fuzzy number theoretical system , two-fold algebra , sub-algebra , fuzzy number theory.

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    Cite This Article As :
    Hatamleh, Raed. , Hazaymeh, Ayman. The Properties of Two-Fold Algebra Based on the n-standard Fuzzy Number Theoretical System. International Journal of Neutrosophic Science, vol. , no. , 2025, pp. 172-178. DOI: https://doi.org/10.54216/IJNS.250115
    Hatamleh, R. Hazaymeh, A. (2025). The Properties of Two-Fold Algebra Based on the n-standard Fuzzy Number Theoretical System. International Journal of Neutrosophic Science, (), 172-178. DOI: https://doi.org/10.54216/IJNS.250115
    Hatamleh, Raed. Hazaymeh, Ayman. The Properties of Two-Fold Algebra Based on the n-standard Fuzzy Number Theoretical System. International Journal of Neutrosophic Science , no. (2025): 172-178. DOI: https://doi.org/10.54216/IJNS.250115
    Hatamleh, R. , Hazaymeh, A. (2025) . The Properties of Two-Fold Algebra Based on the n-standard Fuzzy Number Theoretical System. International Journal of Neutrosophic Science , () , 172-178 . DOI: https://doi.org/10.54216/IJNS.250115
    Hatamleh R. , Hazaymeh A. [2025]. The Properties of Two-Fold Algebra Based on the n-standard Fuzzy Number Theoretical System. International Journal of Neutrosophic Science. (): 172-178. DOI: https://doi.org/10.54216/IJNS.250115
    Hatamleh, R. Hazaymeh, A. "The Properties of Two-Fold Algebra Based on the n-standard Fuzzy Number Theoretical System," International Journal of Neutrosophic Science, vol. , no. , pp. 172-178, 2025. DOI: https://doi.org/10.54216/IJNS.250115