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J. Math. Comput. Sci. 12 (2022), Article ID 11

Using fuzzy logic to approximate the accuracy rate in solving a system of linear equations

Awni M. Abu-Saman

Abstract

This paper proposes a numerical procedure for determining rate of accuracy of the numerical method used for solving a system of linear equations Ax=b. The idea of the method depends on the fuzzy value of the condition number and singularity rate instead of the crisp values. The procedure will be implemented on the mathematical code MATLAB and it’s Simulink features. Finally the applicability and efficiency of the procedure is illustrated by a numerical example.

Published
22 November 2021
Volume
12 (2022)
License
CC BY 3.0

Copyright © 2021 Awni M. Abu-Saman. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Cite this article

A. M. Abu-Saman, Using fuzzy logic to approximate the accuracy rate in solving a system of linear equations, J. Math. Comput. Sci. 12 (2022), 11. https://doi.org/10.28919/jmcs/6867

BibTeX
@article{Abu-Saman2022,
  author  = {Abu-Saman, Awni M.},
  title   = {Using fuzzy logic to approximate the accuracy rate in solving a system of linear equations},
  journal = {J. Math. Comput. Sci.},
  volume  = {12},
  year    = {2022},
  pages   = {11},
  doi     = {10.28919/jmcs/6867}
}