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Numerical Solution of Algebraic Fuzzy Complex Equations with Complex Fuzzy Coefficients

Journal of Interdisciplinary Mathematics, Accepted.

In this research, we solve fuzzy complex equations with complex fuzzy coefficients by a numerical method. We transform fuzzy complex equations into two separate nonlinear systems of equations that both can be solved by the proposed algorithms. At the end of this paper, we illustrate our method with some numerical examples.

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Applying the Fuzzy CESTAC Method to Find the Optimal Shape Parameter in Solving Fuzzy Differential Equations via RBF-Meshless Method

Soft Computing, 2020, In Press

In this paper, by using the CESTAC method and the CADNA library a procedure is proposed to solve a fuzzy initial value problem based on RBF-meshless methods under generalized H-differentiability. So a reliable approach is presented to determine optimal shape parameter and number of points for RBF-meshless methods. The results reveal that the proposed method is very effective and simple. Also, the numerical accuracy of the method is shown in the tables and figures, and algorithms are given based on the stochastic arithmetic. The examples illustrate the efficiency and importance of using the stochastic arithmetic in place of the floating-point arithmetic.

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New Paper

The use of CESTAC method to find optimal shape parameter and optimal number of points in RBF-meshless methods to solve differential equations

Our new paper on optimal shape parameter in Radial Basis Functions applied to differential equations. This work is a collaboration with Dr. Hassan Barzegar, Dr. M. A. Fariborzi Araghi, and me.