A Numerical Approach For The Algebra of Two-Fold

Authors

  • Ahmad A. Abubaker Faculty of Computer Studies, Arab Open University, Saudi Arabia;
  • Mayada Abualhomos Applied Science Private University Amman,11931, Jordan;
  • Khaled Matarneh Faculty of Computer Studies, Arab Open University, Saudi Arabia;
  • Abdallah Al-Husban Department of Mathematics, Faculty of Science and Technology, Irbid; National University, P.O. Box: 2600 Irbid, Jordan;

Keywords:

two-fold algebra, two-fold real numbers, two-fold fuzzy matrix, two-fold inverse, anti-fuzzy matrix.

Abstract

This paper is dedicated to study for the first time the concept of square 2 × 2 fuzzy and 
anti-fuzzy two-fold matrix with real entries, where we present the two-fold algebraic 
operations between the these matrices and obtain their special properties such as 
associativity, commutative properties, and the existing of additive of multiplicative 
inverses. Also, we provide many examples to explain the two-fold algebraic properties and 
the two-fold algebraic structure.

 

DOI: 10.5281/zenodo.13931958

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Published

2024-10-14

Issue

Vol. 75 (2025): 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

Ahmad A. Abubaker, Mayada Abualhomos, Khaled Matarneh, & Abdallah Al-Husban. (2024). A Numerical Approach For The Algebra of Two-Fold . Neutrosophic Sets and Systems, 75, 181-195. https://fs.unm.edu/nss8/index.php/111/article/view/5074

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