A New Approach to the Numerical Solution of Dual Fully Fuzzy Polynomial Equations
نویسندگان
چکیده
Received 20 April 2010; revised 14 August 2010; accepted 29 August 2010. ———————————————————————————————Abstract In this paper, we present a numerical method for solving fully fuzzy polynomials. The proposed method is based on approximating fuzzy neural network. This method can also lead to improving numerical methods. In this work, an architecture of fuzzy neural networks is also proposed to find a fuzzy root of a fuzzy polynomial (if exists) by introducing a learning algorithm. We propose a learning algorithm from the cost function for adjusting fuzzy weights. Finally, we illustrate our approach by numerical examples.
منابع مشابه
Numerical solution of a system of fuzzy polynomial equations by modified Adomian decomposition method
In this paper, we present some efficient numerical algorithm for solving system of fuzzy polynomial equations based on Newton's method. The modified Adomian decomposition method is applied to construct the numerical algorithms. Some numerical illustrations are given to show the efficiency of algorithms.
متن کاملA Numerical Approach for Solving Forth Order Fuzzy Differential Equations Under Generalized Differentiability
In this paper a numerical method for solving forth order fuzzy dierentialequations under generalized differentiability is proposed. This method is basedon the interpolating a solution by piecewise polynomial of degree 8 in the rangeof solution . We investigate the existence and uniqueness of solutions. Finally anumerical example is presented to illustrate the accuracy of the new technique.
متن کاملSome new results on semi fully fuzzy linear programming problems
There are two interesting methods, in the literature, for solving fuzzy linear programming problems in which the elements of coefficient matrix of the constraints are represented by real numbers and rest of the parameters are represented by symmetric trapezoidal fuzzy numbers. The first method, named as fuzzy primal simplex method, assumes an initial primal basic feasible solution is at hand. T...
متن کامل