The Approximate Solution for A Triangular Fully Fuzzy Matrix Equation ÃX̃B̃= C̃

Authors

  • Dr. Wan Suhana Wan Daud Institute of Engineering Mathematics, Universiti Malaysia Perlis, Pauh Putra Campus, 02600, Arau, Perlis.
  • Nazihah Ahmad School of Quantitative Sciences, Universiti Utara Malaysia, Kedah, Malaysia.
  • Ghassan Malkawi Higher Colleges of Technology, Abu Dhabi AlAin Men’s College, 17155, United Arab Emirates.
  • Khairu Azlan Abd Aziz Department of Mathematical Sciences and Statistics, Universiti Teknologi Mara Cawangan Perlis Kampus Arau, 02600, Arau, Perlis
  • Mohd Fazril Izhar Mohd Idris Department of Mathematical Sciences and Statistics, Universiti Teknologi Mara Cawangan Perlis Kampus Arau, 02600, Arau, Perlis

Abstract

A fully fuzzy matrix equation of ÃX̃B̃= C̃ has its own important in the application of control system
engineering particularly in the situation of uncertainty. In this study, the equation is solved where
the triangular fuzzy numbers be the variables of the equation. The algorithm that is used in the
solution is consists of the conversion for the fully fuzzy matrix equation to a fully fuzzy linear system
by utilizing the Kronecker and Vec-operator. Subsequently, the final solution is obtained by using
the pseudoinverse method. A numerical example and the verification of the solution obtained are
presented to demonstrate the contribution of this study.

Keywords:

Control system engineering, Fully fuzzy matrix equation, Fully fuzzy linear system, Pseudoinverse method

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Published

2022-12-31

How to Cite

Dr. Wan Suhana Wan Daud, Nazihah Ahmad, Ghassan Malkawi, Khairu Azlan Abd Aziz, & Mohd Fazril Izhar Mohd Idris. (2022). The Approximate Solution for A Triangular Fully Fuzzy Matrix Equation ÃX̃B̃= C̃. Applied Mathematics and Computational Intelligence (AMCI), 11(1), 35–44. Retrieved from https://ejournal.unimap.edu.my/index.php/amci/article/view/43

Issue

Vol. 11 No. 1 (2022): December (2022)

Section

Articles