广东工业大学学报 ›› 2016, Vol. 33 ›› Issue (01): 67-72.doi: 10.3969/j.issn.1007-7162.2016.01.013

• 综合研究 • 上一篇    下一篇

带有权重偏好的多目标进化算法

江珊,陈磊,刘海林   

  1. 广东工业大学 应用数学学院,广东 广州 510520
  • 收稿日期:2014-06-23 出版日期:2016-01-16 发布日期:2016-01-16
  • 作者简介:江珊(1989-),女,硕士研究生,主要研究方向为最优化方法及应用.
  • 基金资助:

    广东省自然科学基金资助项目(2012B091100033)

Multi-objective Evolutionary Algorithm with Weight Preference

Jiang Shan, Chen Lei, Liu Hai-lin   

  1. School of Applied Mathematics, Guangdong University of Technology, Guangzhou 510520, China
  • Received:2014-06-23 Online:2016-01-16 Published:2016-01-16

摘要: 对于现实生活中的一些多目标优化问题,往往存在着多个决策者的偏好.提出了一种新的偏好方式:决策者对目标函数的权重偏好,该方法在Delphi法下由决策者对目标函数的重要性打分形成,能够更好地体现出决策者的偏好,并且简单易行.结合M2M算法,形成了一种求解多目标优化问题的混合算法.数值实验显示,在不同偏好下,多目标优化问题的结果也不一样,这与实际情形相吻合.在实际生活中,这种方法也具有一定的现实意义.

关键词: 权重偏好; 多目标进化算法; 优化

Abstract: For the multi-objective optimization in real life,there are many preferences of decision makers. This paper proposes a new preference: the weight preference of objective function which derives and scores from its importance according to policy makers by Delphi method. This preference, expressive and facilitating, combines with M2M algorithm into a hybrid algorithm for solving multi-objective optimization problems. The experiments show that various preferences lead to different results in working out the multi-objective optimization problem, which coincides with the actual practice. Apart from its theoretical contribution, this preference also has its realistic significance.

Key words: weight preference; multi-objective evolutionary algorithm; optimization

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