摘要
本文引进切比雪夫范数,并讨论了切比雪夫范数极小化问题解的性质。根据决策者的偏好判断,我们构造了一种切比雪夫范数中权向量空间的压缩模型,并以此给出了一种求解多目标优化问题的交互规划方法。
In this paper, Tchebycheff norm was introduced and the properties of the solutions to Tchebycheff norm minimzation problem were discussed. According to decisionmakers'preferences, a reducing model of vector space formed by weights in Tchebycheff norm was constructed. Furthermore, an interactive programming algorithm for solving multiobjective optimization problems was presented.
出处
《系统工程理论方法应用》
1994年第4期21-27,共7页
Systems Engineering Theory·Methodology·Applications
关键词
多目标优化
切比雪夫范数
交互规划方法
Multiobjective Optimization
Tchebycheff Norm
Efficient Solution
Interactive Programming Algorithm.