## International Journal of Neutrosophic Science

##### Journal DOI

https://doi.org/10.54216/IJNS

2690-6805ISSN (Online) 2692-6148ISSN (Print)

Volume 19 , Issue 1 , PP: 267-271, 2022 | Cite this article as | XML | Html | PDF | Full Length Article

### On The Neutrosophic Formula of Some Matrix Equations Derived from Data Mining Theory and Control Systems

S. Obaid Jameel 1 * , A. Mahdi Salih 2 , R. Adnan Jaleel 3 , Musaddak M. A. Zahra 4

• 1 University of Wasit, College of Education for Pure Sciences, Mathematics department, Wasit, Iraq - (sjameel@uowasit.edu.iq)
• 2 Wasit University, College of Administration and Economics, Statistics Department, Wasit, Iraq - (amahdi@uowasit.edu.iq)
• 3 Al-Nahrain University, Department of Information and Communication Engineering, Baghdad, Iraq - (iraq_it_2010@yahoo.com)
• 4 Unvirsity of Babylon, Department of Electrical Engineering, Babylon, Iraq - (musaddaqmahir@mustaqbal-college.edu.iq)
• Doi: https://doi.org/10.54216/IJNS.190122

Received: March 04, 2022 Accepted: September 16, 2022
##### Abstract

This paper is dedicated to studying the neutrosophic formula of some famous matrix equations used in theoretical data mining algorithms and control systems by using neutrosophic matrices and refined neutrosophic matrices over neutrosophic real fields. On the other hand, we concentrate on the neutrosophic formula of the Sylvester equation, and Lyapunov equation, where we study their formulas and properties in terms of theorems in the neutrosophic real number field and refined real number field. Also, we illustrate many different examples to clarify the validity of our work.

##### Keywords :

Data mining , Control System , Matrix equation , Neutrosophic matrix , Refined neutrosophic matrix.

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