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Numerical Method for the Solution of Algebraic Fuzzy Complex Equations | ||
| Computational Methods for Differential Equations | ||
| مقالات آماده انتشار، پذیرفته شده، انتشار آنلاین از تاریخ 29 دی 1399 اصل مقاله (251.45 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22034/cmde.2021.36796.1638 | ||
| نویسندگان | ||
Robab Fayyaz Behrouz1؛ Majid Amirfakhrian  2
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| 1Department of Mathematics, Central Tehran Branch, Islamic Azad University, Tehran, Iran | ||
| 2Department of Mathematics, Central Tehran Branch, Islamic Azad University, Tehran, Iran | ||
| چکیده | ||
| 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 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. | ||
| کلیدواژه‌ها | ||
| fuzzy numbers؛ fuzzy complex numbers؛ fuzzy polynomial؛ algebraic fuzzy complex equation | ||
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آمار تعداد مشاهده مقاله: 22 تعداد دریافت فایل اصل مقاله: 31 |
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