| 非凸多目标优化模型的一类鲁棒逼近最优性条件 |
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| 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. |
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| 作者姓名： | 赵丹 孙祥凯 |
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| 作者单位： | 1郑州升达经贸管理学院 应用数学研究所, 郑州 451191;2重庆工商大学 数学与统计学院, 重庆 400067 |
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| 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) |
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| 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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| 关 键 词： | 多目标优化问题 拟有效解 鲁棒最优性条件 |
| 收稿时间： | 2018-11-16 |
Some Robust Approximate Optimality Conditions for Nonconvex Multi-Objective Optimization Problems |
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| 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. |
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| Authors: | ZHAO Dan SUN Xiangkai |
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| Institution: | 1Institute of Applied Mathematics, Zhengzhou Shengda University of Economics, Business & Management, Zhengzhou 451191, P.R.China;2College of Mathematics and Statistics, Chongqing Technology and Business University, Chongqing 400067, P.R.China |
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| Abstract: | A class of nonconvex multi-objective optimization problems were introduced with data uncertainty. Then, with the robust optimization approach, the robust counterpart model for the uncertain multi-objective optimization problem was built. Moreover, with the scalarization method and the generalized subdifferential properties, the optimality conditions were characterized for robust quasi approximate efficient solutions to the uncertain multi-objective optimization problem. The work generalizes and improves some results in the recent literatures. |
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| Keywords: | multi-objective optimization problem quasi efficient solution robust optimality condition |
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