摘要
为了将模糊线性系统转化为不带参数r∈[0,1]的分明线性矩阵方程进行求解,在推广LR-梯形模糊数的基础上,利用LR-梯形模糊数的结构特点和系数矩阵的广义逆讨论了模糊线性系统的强模糊解和弱模糊解以及数值计算的迭代法.
In order to transform the fuzzy linear system into a distinct linear matrix equation without parameter r∈[0,1],the strong fuzzy solution and weak fuzzy solutions of fuzzy linear systems and their iterative methods of the numerical calculation were investigated based on the general LR-trapezoidal fuzzy numbers proposed in this paper and the structure characteristics of LR-trapezoidal fuzzy numbers,and its fuzzy solution were discussed and calculated by means of the generalized inverse of the coefficient matrix.
作者
巩增泰
杨甲荣
GONG Zeng-tai;YANG Jia-rong(College of Mathematics and Statistics,Northwest Normal University,Lanzhou 730070,China)
出处
《云南大学学报（自然科学版）》
CAS
CSCD
北大核心
2018年第5期836-847,共12页
Journal of Yunnan University(Natural Sciences Edition)
基金
国家自然科学基金(11461062
61763044)
