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  5. The approximate solution for a triangular fully fuzzy matrix equation ÃX̃B̃= C̃
 
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The approximate solution for a triangular fully fuzzy matrix equation ÃX̃B̃= C̃

Journal
Applied Mathematics and Computational Intelligence (AMCI)
ISSN
2289-1315
Date Issued
2022-12
Author(s)
Wan Suhana Wan Daud
Universiti Malaysia Perlis
N. Ahmad
Universiti Utara Malaysia
G. Malkawi
Abu Dhabi AlAin Men’s College
K.A.A. Aziz
Universiti Teknologi MARA
M. F. I. M. Idris
Universiti Teknologi MARA
Abstract
A fully fuzzy matrix equation of̃ÃX̃B=̃Chas its own important in the application of control systemengineering particularly in the situation of uncertainty. In this study, the equation is solved wherethe triangular fuzzy numbers be the variables of the equation. The algorithm that is used in thesolution is consists of the conversion for the fully fuzzy matrix equation to a fully fuzzy linear systemby utilizing the Kronecker and Vec-operator. Subsequently, the final solution is obtained by usingthe pseudoinverse method. A numerical example and the verification of the solution obtained arepresented to demonstrate the contribution of this study.
Subjects
  • Control system engine...

  • Fully fuzzy matrix eq...

  • Fully fuzzy linear sy...

  • Pseudoinverse method

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The Approximate Solution for A Triangular Fully Fuzzy Matrix Equation.pdf (305.81 KB)
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