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非凸多目标优化模型的一类鲁棒逼近最优性条件

赵丹 孙祥凯

赵丹, 孙祥凯. 非凸多目标优化模型的一类鲁棒逼近最优性条件[J]. 应用数学和力学, 2019, 40(6): 694-700. doi: 10.21656/1000-0887.390289
引用本文: 赵丹, 孙祥凯. 非凸多目标优化模型的一类鲁棒逼近最优性条件[J]. 应用数学和力学, 2019, 40(6): 694-700. doi: 10.21656/1000-0887.390289
ZHAO Dan, SUN Xiangkai. Some Robust Approximate Optimality Conditions for Nonconvex Multi-Objective Optimization Problems[J]. Applied Mathematics and Mechanics, 2019, 40(6): 694-700. doi: 10.21656/1000-0887.390289
Citation: ZHAO Dan, SUN Xiangkai. Some Robust Approximate Optimality Conditions for Nonconvex Multi-Objective Optimization Problems[J]. Applied Mathematics and Mechanics, 2019, 40(6): 694-700. doi: 10.21656/1000-0887.390289

非凸多目标优化模型的一类鲁棒逼近最优性条件

doi: 10.21656/1000-0887.390289
基金项目: 国家自然科学基金(11701057);重庆市自然科学基金重点项目(cstc2017jcyjBX0032);河南省教育厅人文社科项目(2019-ZZJH-202)
详细信息
    作者简介:

    赵丹(1982—),女,讲师,硕士(E-mail: zd_1008@126.com);孙祥凯(1984—),男,教授,博士(通讯作者. E-mail: sxkcqu@163.com).

  • 中图分类号: O221.6;O224

Some Robust Approximate Optimality Conditions for Nonconvex Multi-Objective Optimization Problems

Funds: The National Natural Science Foundation of China(11701057)
  • 摘要: 通过引入一类非凸多目标不确定优化问题,借助鲁棒优化方法,先建立了该不确定多目标优化问题的鲁棒对应模型;再借助标量化方法和广义次微分性质,刻画了该不确定多目标优化问题的鲁棒拟逼近有效解的最优性条件,推广和改进了相关文献的结论.
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出版历程
  • 收稿日期:  2018-11-16
  • 修回日期:  2019-04-10
  • 刊出日期:  2019-06-01

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