一类模糊数系数矩阵的模糊线性方程组的迭代算法  

Iteration Algorithm for Solving a System of Fuzzy Liner Equations with Fuzzy Number Coefficients Matrix

作　　者：王占京[1] 王熙照[2] 李法朝[3] 

机构地区：[1]河北经贸大学数学与统计学学院,河北石家庄050061 [2]河北大学数学与计算机学院,河北保定071002 [3]河北科技大学经济管理学院,河北石家庄050018

出　　处：《模糊系统与数学》2007年第3期80-85,共6页Fuzzy Systems and Mathematics

摘　　要：讨论模糊线性方程组X=A^X+U解的存在条件及其迭代算法(其中,A~是以模糊数为元素的n×n矩阵,未知量X和常量U都是以模糊数为元素的n维向量,并且其加法和乘法均由Zadeh的扩张原理定义)。首先研究解的存在条件,尔后探讨求解的迭代算法及误差估计。This paper diccuss the existential condition of solution for a system of fuzzy linear equations X = AX＋U, and its iteration algorithm, where A is a n X n fuzzy numbers matrix, the unknown vector X and the constant U are all n dimension vectors sonsisting of fuzzy numbers, and the addition and multiplication are defined by Zadeh＇s extension principle. Firstly we study the existential condition of solution, then discuss the iteration algorithm and erroe estimation.

关 键 词：不动点 模糊向量 模糊线性方程组 

分 类 号：O159[理学—数学]