This paper proposes two new methods to solve fully fuzzy system of linear equations. The fuzzy system has been converted to a crisp system of linear equations by using single and double parametric form of fuzzy numbers to obtain the non-negative solution. Double parametric form of fuzzy numbers is defined and applied for the first time in this paper for the present analysis. Using single parametric form, the $n imes n$ fully fuzzy system of linear equations have been converted to a $2n imes 2n$ crisp system of linear equations. On the other hand, double parametric form of fuzzy numbers converts the n×n fully fuzzy system of linear equations to a crisp system of same order. Triangular and trapezoidal convex normalized fuzzy sets are used for the present analysis. Known example problems are solved to illustrate the efficacy and reliability of the proposed methods.
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机译：本文提出了两种新的方法来求解线性方程组的完全模糊系统。通过使用模糊数的单参数和双参数形式获得非负解，将模糊系统转换为线性方程的清晰系统。本文首次定义了模糊数的双参数形式，并将其首次用于本分析。使用单参数形式，已将线性方程组的$ n x完全模糊系统转换为线性方程组的n2x 2n $清晰系统。另一方面，模糊数的双参数形式将线性方程组的n×n个完全模糊系统转换为相同阶数的清晰系统。三角形和梯形凸归一化模糊集用于本分析。解决了已知示例问题，以说明所提出方法的有效性和可靠性。
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