Numerical method for the solution of algebraic fuzzy complex equations

被引:1
作者
Behrooz, S. Robab Fayyaz [1 ]
Amirfakhrian, Majid [1 ]
机构
[1] Islamic Azad Univ, Dept Math, Cent Tehran Branch, Tehran, Iran
来源
COMPUTATIONAL METHODS FOR DIFFERENTIAL EQUATIONS | 2022年 / 10卷 / 01期
关键词
Fuzzy numbers; Fuzzy complex numbers; Fuzzy polynomial; Algebraic fuzzy complex equation; NEWTONS METHOD; CONVERGENCE; MATHEMATICS; UNIQUENESS;
D O I
10.22034/cmde.2021.36796.1638
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
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 In. 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.
引用
收藏
页码:77 / 92
页数:16
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