| 二层多目标最优化问题解集的连通性 |
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| 引用本文： | 刘玉兰,李湖南.二层多目标最优化问题解集的连通性[J].数学的实践与认识,2010,40(10). |
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| 作者姓名： | 刘玉兰 李湖南 |
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| 摘 要： | 研究了二层多目标最优化模型(BLMOP)解集的连通性问题,其中(BLMOP)的上层集值目标函数由下层问题的有效点确定.把(BLMOP)看作成单层的集值函数优化问题,借助集值函数优化问题各种有效解集的连通性的结论,得到了(BLMOP)相应的有效解集连通性的结论.
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| 关 键 词： | 二层多目标最优化 集值映射的上半连续 ∧-凸集值映射 |
Connectedness of the Solution Sets in Bilevel Multiobjective Optimization Problem |
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| LIU Yu-lan,LI Hu-nan.Connectedness of the Solution Sets in Bilevel Multiobjective Optimization Problem[J].Mathematics in Practice and Theory,2010,40(10). |
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| Authors: | LIU Yu-lan LI Hu-nan |
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| Abstract: | This paper discusses the connectedness of the solution sets in bilevel multiobjective optimization problem,whose the upper-level set-valued objective function is defined by the efficient points for the lower-level problems of optimization.Looking the problem (BLMOP) as single level set-valued function optimization,we gave the connectedness of all kinds of efficient solutions for(BLMOP),applying the conclusions about connectedness of efficient solutions in set-valued function optimization. |
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| Keywords: | bilevel multiobjective optimization upper semi-continuity of set-valued mapping ∧-convex set-valued mapping |
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