| 带变动序结构的向量优化问题的E-最优元 |
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| 引用本文： | 刘彩平.带变动序结构的向量优化问题的E-最优元[J].系统科学与数学,2020(3):485-494. |
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| 作者姓名： | 刘彩平 |
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| 作者单位： | 西南财经大学经济数学学院 |
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| 基金项目： | 国家自然科学基金(11431004,11471291)资助课题。 |
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| 摘 要： | 推广固定锥序下的改进集概念到变动序关系.引入了带变动序结构的向量优化问题的E-最优元.应用Tammer-Weidner意义下的非线性标量化函数,给出了向量优化问题E-最优元的标量化刻画,建立了带变动序结构的向量优化问题的E-最优元的必要和充分最优性条件.
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| 关 键 词： | 向量优化 变动序结构 改进集 标量化 |
E-Optimal Elements of Vector Optimization Problems with Variable Ordering Structures |
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| LIU Caiping.E-Optimal Elements of Vector Optimization Problems with Variable Ordering Structures[J].Journal of Systems Science and Mathematical Sciences,2020(3):485-494. |
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| Authors: | LIU Caiping |
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| Institution: | (College of Economic Mathematics,Southwestern University of Finance and Economics,Chengdu 611130) |
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| Abstract: | The nation of improvement set with the ordering defined by a fixed cone is extended to variable ordering defined by a cone-valued map.The concept of Eoptimal element of vector optimization problems with variable ordering structures is introduced.By using scalarization function in the sense of Tammer-Weidner,some characterizations of E-optimal element in vector optimization are given,some necessary and sufficient optimality conditions are established. |
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| Keywords: | Vector optimization variable ordering structure improvement set scalarization |
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