| 基于后悔函数的多目标优化决策问题研究 |
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| 引用本文： | 徐倩,唐胜景,郭杰,杨春雷.基于后悔函数的多目标优化决策问题研究[J].北京理工大学学报,2010,30(7):803-807. |
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| 作者姓名： | 徐倩 唐胜景 郭杰 杨春雷 |
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| 作者单位： | 北京理工大学,宇航学院,北京,100081;北京理工大学,宇航学院,北京,100081;北京理工大学,宇航学院,北京,100081;北京理工大学,宇航学院,北京,100081 |
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| 摘 要： | 研究多目标优化决策问题.针对目标之间常常相互制约、决策者需要进行反复权衡的问题,通过定义后悔值并设计基于后悔函数的目标函数,在进行多目标优化时,可以定量地表示决策者对各个目标的重视程度.仿真实验结果表明,在多目标优化问题中,基于后悔函数的目标函数具有很好的通用性.与传统方法的对比表明,后悔函数法避免了权重难以定量描述,需要反复试凑的问题,且具有较好的逼近多目标理想值的能力,优化结果能直接反映决策者初衷,并且易于针对不同问题进行改进.
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| 关 键 词： | 后悔函数 目标函数 多目标优化 |
| 收稿时间： | 2009/1/15 0:00:00 |
Decision-Making Problem Analysis for Multi-Objective Optimization Based on Regret-Function |
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| XU Qian,TANG Sheng-jing,GUO Jie and YANG Chun-lei.Decision-Making Problem Analysis for Multi-Objective Optimization Based on Regret-Function[J].Journal of Beijing Institute of Technology(Natural Science Edition),2010,30(7):803-807. |
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| Authors: | XU Qian TANG Sheng-jing GUO Jie and YANG Chun-lei |
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| Institution: | XU Qian,TANG Sheng-jing,GUO Jie,YANG Chun-lei(School of Aerospace Engineering,Beijing Institute of Technology,Beijing 100081,China) |
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| Abstract: | The decision-making problem for multi-objective optimization is studied in this article.By defining regret value in regret-function and designing the objective function,the priority degree for each object can be quantitatively expressed.The simulation results show that the objective function based on regret-function is of universal use in multi-objective optimization.Compared to the traditional way,it doesn't have to try over and over to find a proper weight.Besides,it can approach the ideal objects' value ... |
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| Keywords: | regret-function objective function multi-objective optimization |
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