| 求多目标优化问题Pareto最优解集的方法 |
| |
| 引用本文： | 王海军,宋协武,曹德欣,李苏北.求多目标优化问题Pareto最优解集的方法[J].大学数学,2008,24(5). |
| |
| 作者姓名： | 王海军 宋协武 曹德欣 李苏北 |
| |
| 作者单位： | 1. 中国矿业大学,理学院,徐州,221008
2. 徐州工程学院,徐州,221008 |
| |
| 基金项目： | 国家自然科学基金，中国矿业大学校青年和科学基金 |
| |
| 摘 要： | 主要讨论了无约束多目标优化问题Pareto最优解集的求解方法,其中问题的目标函数是C1连续函数.给出了Pareto最优解集的一个充要条件,定义了α强有效解,并结合区间分析的方法,建立了求解无约束多目标优化问题Pareto最优解集的区间算法,理论分析和数值结果均表明该算法是可靠和有效的.
|
| 关 键 词： | 多目标优化 Pareto最优解集 α强有效解 区间算法 |
An Interval Algorithem for Solving Pareto Solution Set of Multiobjective Optimization Problems |
| |
| WANG Hai-jun,SONG Xie-wu,CAO De-xin,LI Su-bei.An Interval Algorithem for Solving Pareto Solution Set of Multiobjective Optimization Problems[J].College Mathematics,2008,24(5). |
| |
| Authors: | WANG Hai-jun SONG Xie-wu CAO De-xin LI Su-bei |
| |
| Abstract: | This paper is concerned with the Pareto solution set of multiobjective optimization problem with unconstrain, in which the objective functions functions are C1. We define α high-efficient solution, a necessary and sufficient condition of Pareto solution set is given. At last, we design an interval algorithm of sloving Pareto solution set of multiobjective optimization problem with interval analysis method. The theoretic analyses and numerical results indicate that the algorithm is convergence, stable and reliable. |
| |
| Keywords: | multiobjective optimization Pareto solution set α high-efficient solution interval algorithm |
| 本文献已被 维普 万方数据 等数据库收录！ |
|
