| 基于P序的参数集优化问题解的稳定性 |
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| 引用本文： | 刘培丽,陈纯荣.基于P序的参数集优化问题解的稳定性[J].四川大学学报(自然科学版),2018,55(3):425-428. |
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| 作者姓名： | 刘培丽 陈纯荣 |
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| 作者单位： | 重庆大学数学与统计学院 |
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| 基金项目： | 国家自然科学基金（11301567） |
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| 摘 要： | Possible less序关系(P序)是一种相对较新的集序关系,在计算机编译器、区间运算以及鲁棒优化等方面均有应用.本文在P序下讨论了参数集优化问题解映射的稳定性.本文给出了P序关系下严格拟凸以及水平集映射的定义,得到了参数集优化问题解映射上下半连续性的充分条件,并给出了例子加以验证.
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| 关 键 词： | 集优化 集序关系 上下半连续性 闭性 |
| 收稿时间： | 2017/8/31 0:00:00 |
| 修稿时间： | 2018/1/10 0:00:00 |
Stability of solutions to parametric set optimization with possible less order relations |
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| LIU Pei-Li and CHEN Chun-Rong.Stability of solutions to parametric set optimization with possible less order relations[J].Journal of Sichuan University (Natural Science Edition),2018,55(3):425-428. |
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| Authors: | LIU Pei-Li and CHEN Chun-Rong |
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| Institution: | College of Mathematics and Statistics, Chongqing University and College of Mathematics and Statistics, Chongqing University |
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| Abstract: | Possible less order relation is a new set order relation introduced by Chiriaev in interval arithmetic and it is implemented in Fortran compiler and robust optimization. In this paper, the stability of the solution mapping to parametric set optimization with possible less order relation is studied. Some sufficient conditions for the upper semi continuity and lower semi continuity of the solution mapping are given. |
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| Keywords: | Set optimization Set order relation Lower and upper semi-continuity Closedness |
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