复模糊线性方程组及其应用  

Complex fuzzy linear system of equations and its application

作　　者：崔建斌[1] 张科[2] 

机构地区：[1]陇东学院数学与统计学院,甘肃庆阳745000 [2]西北师范大学数学与统计学院,甘肃兰州730070

出　　处：《延边大学学报（自然科学版）》2017年第1期11-14,67,共5页Journal of Yanbian University（Natural Science Edition）

基　　金：甘肃省科技计划资助项目(1606RJZM092)

摘　　要：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.

关 键 词：模糊数 复模糊线性系统 复模糊数 复模糊数中心 模糊解 

分 类 号：O29[理学—应用数学]