摘要
在三元区间数理论的基础上,提出了三元区间数线性规划模型的一般形式.利用三元区间数的弱偏好序关系,定义了三元区间数线性规划的弱可行解和弱最优解,并将它的弱最优解转化为求三个一般线性规划模型的最优解,从而在理论上对区间数线性规划进行拓展.最后,通过数值例子对该理论及模型求解方法进行说明和验证.
Based on the theory about interval numbers of three elements, proposed the general form of interval numbers of three elements linear programming model. Defined weak feasible solution and weak optimal solution of interval numbers of three elements linear programming by weak preference order relation, and transformed interval numbers of three elements linear programming problem into three general linear programming problems to obtain the weak optimal solution. Therefore, theoretically extended the interval numbers linear programming. Finally, it illustrates the theory and solution for interval numbers of three elements linear programming model.
出处
《数学的实践与认识》
CSCD
北大核心
2011年第19期134-141,共8页
Mathematics in Practice and Theory
关键词
三元区间数
三元区间数线性规划
弱偏好序关系
interval numbers of three elements
interval numbers of three elements linear programming
weak preference order relation
