An Example of Two-Fold Fuzzy Algebras Based On Neutrosophic Real Numbers

Authors

  • Abdallah Shihadeh Department of Mathematics, Faculty of Science, The Hashemite University, Zarqa 13133, PO box 330127, Jordan,
  • Khaled Ahmad Mohammad Matarneh Faculty of Computer Studies, Arab Open University (AOU), Riyadh, Kingdom of Saudi Arabia,
  • Raed Hatamleh Department of Mathematics, Faculty of Science and Information Technology, Jadara University, P.O. Box 733, Irbid 21110, Jordan,
  • Randa Bashir Yousef Hijazeen Department of Basic Sciences and informatics, Al-Balqa applied university, Al Karak, Jordan,
  • Mowafaq Omar Al-Qadri Department of Mathematics, Jerash University, Jerash, Jordan,
  • Abdallah Al-Husban Department of Mathematics, Faculty of Science and Technology, Irbid National University, P.O. Box: 2600 Irbid, Jordan

Keywords:

two-fold algebraic structure, neutrosophic ring, fuzzy set, two-fold fuzzy neutrosophic real number

Abstract

This paper is dedicated to defining and studying for the first time a 
two-fold algebra over the neutrosophic real number ring by merging the fuzzy set 
mapping with the algebraic operations of the neutrosophic real number ring. 
Also, we study the elementary algebraic properties of the defined two-fold algebra 
through its algebraic operations and substructures such as homomorphisms and 
ideals. 

 

DOI: 10.5281/zenodo.11151930

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Published

2024-05-01

Issue

Vol. 67 (2024): Neutrosophic Sets and Systems

Section

Article

License

Copyright (c) 2024 Neutrosophic Sets and Systems

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.

 Creative Commons Attribution (CC BY) license.

How to Cite

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, 67, 169-178. https://fs.unm.edu/nss8/index.php/111/article/view/4442