摘要
针对现有可视化技术不能有效显示高维多目标优化问题这一难题,提出了一种以单目标拟合为绘图基准的子图表可视化技术。该方法以与目标数相同的子图表形式显示Pareto标准解集,并在子图表中通过拟合位置绘制Pareto近似集。其图形有效地显示了Pareto近似集的收敛性和分布性,同时对单个解各维目标上性能的相对优劣性及不同解在同一目标上性能的对比情况都达到了有效的可视化显示。基于此思想设计了可视化模型并通过试验加以分析,达到了方便决策者对多目标优化问题进行分析和决策的目的。
Current visualization techniques failed to effectively display the high dimension multi- objective optimization problems. To overcome this disadvantage, a new sub-diagram visualization technology based on single objective fitting is proposed. The new visualization technology displays the Pareto solution set in sub-diagram form whose number is the same as objectives. Additionally, the Pareto approximate set is drawn by the fitting location in the sub-diagram. The proposed method displays effectively the convergence and distribution of the Pareto approximate set; meanwhile, the relative merits of the performance on a single solution in each dimension objective and the comparison of the performance of different solutions in the same objective are displayed effectively. Numerical experiments show that the new visualization technique plays a key role in helping decision-makers carry on analysis and decision for multi-objective optimization problems.
出处
《吉林大学学报（工学版）》
EI
CAS
CSCD
北大核心
2013年第6期1658-1665,共8页
Journal of Jilin University:Engineering and Technology Edition
基金
国家自然科学基金项目(61175126)
中央高校基本科研业务费专项基金项目(HEUCFZ1209)
高等学校博士学科点专项科研基金项目(20112304110009)
关键词
计算机应用
高维多目标可视化
子图表可视化技术
单目标拟合
PARETO前沿
computer application
visualization technology of high dimension multi-objective
sub- diagram visualization technology
single objective fitting
the Pareto front
