Some Remarks on Invertible Refined Neutrosophic Square  Matrices

Ahmad A. Abubaker; Abdallah Shihadeh; Mayada Abualhomos; Khaled Matarneh; Mutaz Shatnawi; Ahmed Atallah Alsaraireh; P. Prabakaran; Abdallah Al-Husban

Some Remarks on Invertible Refined Neutrosophic Square Matrices

Authors

Ahmad A. Abubaker Faculty of Computer Studies, Arab Open University, Saudi Arabia;
Abdallah Shihadeh Department of Mathematics, Faculty of Science, The Hashemite University, Zarqa 13133, PO box 330127, Jordan;
Mayada Abualhomos Applied Science Private University Amman, 11931, Jordan;
Khaled Matarneh Faculty of Computer Studies, Arab Open University, Saudi Arabia;
Mutaz Shatnawi Department of Mathematics, Faculty of Science and Technology, Irbid National University, Irbid 21110, Jordan;
Ahmed Atallah Alsaraireh The university of Jordan–Aqaba Department of computer information systems;
P. Prabakaran Department of Mathematics, Bannari Amman Institute of Technology, Erode- 638401, Tamil Nadu, India;
Abdallah Al-Husban Department of Mathematics, Faculty of Science and Technology, Irbid National University, Irbid 21110, Jordan; Jadara Research Center, Jadara University, Irbid 21110, Jordan

Keywords:

Refined neutrosophic matrix; n-refined neutrosophic matrix; adjoint matrix; determinant; inverse.

Abstract

The main goal of this article is to define the adjoint of refined (resp., n-refined) neutrosophic
square matrices, and to study the inverse of these matrices in terms of refined (resp., n-refined) neutrosophic
determinants and adjoints. Also, it presents some modified results and examples on the inverse of refined (resp.,
n-refined) neutrosophic square matrices.

DOI: 10.5281/zenodo.15619586

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Published

2025-09-01

Issue

Vol. 87 (2025): Neutrosophic Sets and Systems

Section

Article

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, Abdallah Shihadeh, Mayada Abualhomos, Khaled Matarneh, Mutaz Shatnawi, Ahmed Atallah Alsaraireh, P. Prabakaran, & Abdallah Al-Husban. (2025). Some Remarks on Invertible Refined Neutrosophic Square Matrices. Neutrosophic Sets and Systems, 87, 128-138. https://fs.unm.edu/nss8/index.php/111/article/view/6515