复模糊线性方程组及其应用

Complex fuzzy linear system of equations and its application

讨论了复模糊线性方程组Az=w,其中系数矩阵A是n×n阶实值矩阵,w是复模糊列向量,z是模糊复未知向量.通过使用复模糊数的中心获得了原复模糊线性方程组的模糊复解,并且分析了解的存在性条件,最后用2个数值算例验证了本文方法的可行性.

In this paper, we studied the complex fuzzy system of linear equation Az= w, in which the coefficient matrix A was a rank real valued matrix with n × n, w was a complex fuzzy column vector, and z was an unknown complex fuzzy vector. The fuzzy complex solution of the original complex fuzzy linear equation was expressed by the the complex fuzzy numbers center, and the existence condition of the solution was also discussed. Finally, the feasibility of the method was verified by two numerical examples.