| 集值映射多目标规划问题的解集的连通性 |
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| 引用本文： | 傅万涛. 集值映射多目标规划问题的解集的连通性[J]. 高校应用数学学报(A辑), 1994, 0(3): 321-328 |
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| 作者姓名： | 傅万涛 |
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| 作者单位： | 南昌大学数学与系统科学系 |
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| 摘 要： | 本文研究了无限维空间里集值映射的多目标规划问题。主要结果是：当目标函数为类凸的集值映射时，其目标空间里的有效点集是连通的；若目标函数为Ｃ－凸的集值映射时，其有效解集也连通。
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| 关 键 词： | 连通性 多目标规划 解集 集值映象 |
THE CONNECTEDNESS OF THE SOLUTION SET OF THE MULTIOBJECTIVE OPTIMIZATION PROBLEM FOR A SET-VALUED MAPPING |
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| Fu Wantao. THE CONNECTEDNESS OF THE SOLUTION SET OF THE MULTIOBJECTIVE OPTIMIZATION PROBLEM FOR A SET-VALUED MAPPING[J]. Applied Mathematics A Journal of Chinese Universities, 1994, 0(3): 321-328 |
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| Authors: | Fu Wantao |
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| Abstract: | The multiobjective optimization problem with respect to a cone of a set-valued mapping in infinite dimensional spaces is discussed and some connectedness results are established. |
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| Keywords: | Set-valued mappings efficient solution sets and efficient point sets con nectedness. |
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