Numerical method for the solution of algebraic fuzzy complex equations

Document Type : Research Paper

Authors

Department of Mathematics, Central Tehran Branch, Islamic Azad University, Tehran, Iran.

Abstract

In this paper, the numerical solution of an algebraic complex fuzzy equation of degree n, based on the parametric fuzzy numbers, is discussed. The unknown variable and right-hand side of the equation are considered as fuzzy complex numbers, whereas, the coefficients of the equation, are considered to be real crisp numbers. The given method is a numerical method and proposed based on the separation of the real and imaginary parts of the equation and using the parametric forms of the fuzzy numbers in the form of polynomials of degree at most m. In this case, a system of nonlinear equations is achieved. To get the solutions of the system, we used the Gauss-Newton iterative method. We also very briefly explain the conjugate of the solution of such equations. Finally, the efficiency and quality of the given method are tested by applying it to some numerical examples. 

Keywords


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Volume 10, Issue 1
January 2022
Pages 77-92
  • Receive Date: 12 November 2019
  • Revise Date: 15 January 2021
  • Accept Date: 18 January 2021
  • First Publish Date: 18 January 2021