摘要
借助于Dubois和Prade所定义的LR模糊数的近似乘法算子,运用广义逆矩阵A■,A+,讨论了广义完全模糊线性系统=的解.首先,扩充了LR模糊数的定义;然后对广义完全模糊线性系统,讨论了其最小二乘解、最小二乘解的通解和极小最小二乘解;最后给出了具体算例.
By employing Dubois and Prade s approximate arithmetic operators on LR fuzzy numbers and the generalized inverse matrix A■,A+,a method for solving a generalized fuzzy linear system =is given.In this paper,firstly,the definition of the LR fuzzy number is extended,and then the least square solution,the formal solution of least square solution and the minimize least square solution for the generalized fully fuzzy linear systems are discussed.Finally,a numerical example is given.
出处
《西北师范大学学报（自然科学版）》
CAS
2008年第6期6-10,共5页
Journal of Northwest Normal University(Natural Science)
基金
国家自然科学基金资助项目(10771171)
甘肃省教育厅科研基金资助项目(0601-20)
关键词
LR模糊数
广义完全模糊线性系统
最小二乘解
LR fuzzy number
generalized fully fuzzy linear system
least square solution
