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二层多目标最优化问题解集的连通性
Connectedness of the Solution Sets in Bilevel Multiobjective Optimization Problem
【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.
【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.
【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;
【Key words】 bilevel multiobjective optimization; upper semi-continuity of set-valued mapping; ∧-convex set-valued mapping;
【Key words】 bilevel multiobjective optimization; upper semi-continuity of set-valued mapping; ∧-convex set-valued mapping;
【基金】 二层多目标最优化问题的研究(校青年092026)
- 【文献出处】 数学的实践与认识 ,Mathematics in Practice and Theory , 编辑部邮箱 ,2010年10期
- 【分类号】O224
- 【下载频次】98