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多目标优化问题McRow最优解的刻画

赵春杰 高英 刘芙萍

赵春杰, 高英, 刘芙萍. 多目标优化问题McRow最优解的刻画[J]. 应用数学和力学, 2021, 42(6): 602-610. doi: 10.21656/1000-0887.410338
引用本文: 赵春杰, 高英, 刘芙萍. 多目标优化问题McRow最优解的刻画[J]. 应用数学和力学, 2021, 42(6): 602-610. doi: 10.21656/1000-0887.410338
ZHAO Chunjie, GAO Ying, LIU Fuping. Equivalent Characterization of McRow Optimal Solutions to Multiobjective Optimization Problems[J]. Applied Mathematics and Mechanics, 2021, 42(6): 602-610. doi: 10.21656/1000-0887.410338
Citation: ZHAO Chunjie, GAO Ying, LIU Fuping. Equivalent Characterization of McRow Optimal Solutions to Multiobjective Optimization Problems[J]. Applied Mathematics and Mechanics, 2021, 42(6): 602-610. doi: 10.21656/1000-0887.410338

多目标优化问题McRow最优解的刻画

doi: 10.21656/1000-0887.410338
基金项目: 

11991024)

重庆市高校创新研究群体项目(CXQT20014)

重庆市科学技术研究重点项目(KJZD-K202001104)

重庆市留学人员回国创业创新支持计划(cx2020096)

国家自然科学基金(11771064

详细信息
    作者简介:

    赵春杰(1995—),男,硕士生(E-mail: Zcj296020056@163.com);高英(1982—),女,教授,博士,硕士生导师(通讯作者. E-mail: gaoyingimu@163.com);刘芙萍(1975—),女,馆员,硕士(E-mail: lfp751214@163.com).

    通讯作者:

    高英(1982—),女,教授,博士,硕士生导师(通讯作者. E-mail: gaoyingimu@163.com)

  • 中图分类号: O221.6

Equivalent Characterization of McRow Optimal Solutions to Multiobjective Optimization Problems

Funds: 

11991024)

The National Natural Science Foundation of China(11771064

  • 摘要: 基于多目标优化问题的McRow模型,该文确定了W-鲁棒有效解(也称为McRow最优解)与弱有效解、有效解以及真有效解的关系.首先, 针对确定多目标优化问题,研究了W-鲁棒有效解与各种精确解的关系.随后,针对随机多目标优化问题,引进McRow最优解的概念,给出了它与其余各种解的关系.算例表明,利用McRow模型所得到的解更具有鲁棒性.
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出版历程
  • 收稿日期:  2020-11-05
  • 修回日期:  2021-01-13

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