| 一类区间数系数矩阵模糊线性方程组的迭代算法 |
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| 引用本文： | 王占京,米香云,陈蕊.一类区间数系数矩阵模糊线性方程组的迭代算法[J].数学的实践与认识,2008,38(10):180-186. |
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| 作者姓名： | 王占京 米香云 陈蕊 |
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| 作者单位： | 河北经贸大学,数学与统计学学院,河北,石家庄,050061 |
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| 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-是区间数为元素的n阶矩阵,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.
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| 关 键 词： | 不动点 区间数 模糊向量 模糊线性方程组 |
| 修稿时间： | 2007年12月7日 |
Iteration Algorithm for Solving a System of Fuzzy Linear Equation with Interval Number Coefficients Matrix |
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| WANG Zhan-jing,MI Xiang-yun,CHEN Rui.Iteration Algorithm for Solving a System of Fuzzy Linear Equation with Interval Number Coefficients Matrix[J].Mathematics in Practice and Theory,2008,38(10):180-186. |
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| Authors: | WANG Zhan-jing MI Xiang-yun CHEN Rui |
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| Abstract: | This paper discuss the existential condition of solution for a system of fuzzy linear equations X=A-X+U,and its iteration algorithm,where A-is a n×n interval number matrix (i.e.the matrix made up of interval number elements),the unknown vector X and constant U are all n dimension vectors consisting of nonnegative 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 error estimate. |
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| Keywords: | fixed point interval number fuzzy vector system of fuzzy linear equations |
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