摘要
在本文中，我们给出了一种解模糊线性方程组ＡＺ＝Ｐ的近似方法，其中Ａ和Ｐ分别是由模糊数组成的ｎ×ｎ维矩阵和ｎ维向量。首先我们将Ａｉｊ和Ｐｊ（ｉ，ｊ＝１，２，…，ｎ）转换成区间数使求解线性方程组转化为求解某些二次规划问题。求得这些二次规化问题的解后，由表示定理，我们得到了方程组的一个近似解。给出的实际例子表明这种近似解法是实用的。
In this paper, we give a approximate solution of fuzzy lineal equation set AZ=P,in which A and P is respectively n× n dimension matrix consisting of fuzzy numberand n dimension vector. First, we transform Aij and Pj(i, j=1, 2,...,n) into interval numbers, solving linear equation set into solving some quadratic programming problem. After to solve these quadratic programming problems, from representation theorem, we obtain a approximate solution of equation set. The practical examples shown that this approximate solution is applicable.
出处
《哈尔滨师范大学自然科学学报》
1994年第3期17-20,共4页
Natural Science Journal of Harbin Normal University
