| 锥上半连续锥拟凸集值映射多目标优化超有效解集的连通性 |
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| 引用本文： | 凌晨.锥上半连续锥拟凸集值映射多目标优化超有效解集的连通性[J].系统科学与数学,2003,23(2):163-169. |
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| 作者姓名： | 凌晨 |
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| 作者单位： | 浙江财经学院统计运筹系,杭州,310012 |
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| 摘 要： | 本文研究集值映射多目标优化超有效解集的连通性,在目标映射为锥上半连续和锥拟凸的条件下,证明了其超有效解集是连通的.
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| 关 键 词： | 集值映射 多目标优化 超有效解 锥上半连续 锥拟凸 连通性. |
| 修稿时间： | 2001年8月30日 |
CONNECTEDNESS OF THE SUPER EFFICIENT SOLUTION SET OF MULTIOBJECTIVE OPTIMIZATION WITH CONE UPPER SEMICONTINUOUS CONE QUASICONVEX SET-VALUED MAPPING |
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| Chen LING.CONNECTEDNESS OF THE SUPER EFFICIENT SOLUTION SET OF MULTIOBJECTIVE OPTIMIZATION WITH CONE UPPER SEMICONTINUOUS CONE QUASICONVEX SET-VALUED MAPPING[J].Journal of Systems Science and Mathematical Sciences,2003,23(2):163-169. |
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| Authors: | Chen LING |
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| Institution: | Department of Statistics and Operations Research, Zhejiang Institute of Finance and Economics,Hangzhou 310012,P.R.China |
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| Abstract: | In this paper, we investigate the connectedness of the super-efficient solution set of multiobjective optimization with set-valued mapping. Under the condition that the objective mapping is cone upper semicontinuous and cone quasiconvex, we prove the connectedness results of the set of super efficient solutions to multiobjective optimization with set-valued mapping. |
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| Keywords: | Set-valued mapping multiobjective optimization super efficient solution cone upper semicontinuity cone quasiconvex mapping connectedness |
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