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约束锥扰动多目标规划锥有效解集的闭性和半连续性
Closedness and semicontinuity of cone efficient solution sets for multiobjective programming under constraint cone perturbations
查看参考文献6篇
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文摘
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本文研究拓扑向量空间中目标映射和约束映射均为连续,约束映射的约束锥为半连续的条件下,受扰动可达目标集的锥有效点集和锥弱有效点集的闭性、半连续性和锥半连续性.在此基础上,得到了约束锥扰动多目标规划问题的锥有效解集和锥弱有效解集的闭性和半连续性. |
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其他语种文摘
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The paper studies the closedness, semicontinuity and cone semicontirmity of cone efficient point sets and cone weakly efficient point sets of the perturbed attainable objective sets when both the objective maps and constraint maps are continuous and the constraint cone is semicontinuous in topological vector spaces. On this basis, we obtain the closedness and semicontinuity of cone efficient solution sets and cone weakly efficient solution sets for multiobjective programming problem under constraint cone perturbations. |
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来源
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系统科学与数学
,2003,23(4):444-451 【核心库】
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关键词
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多目标规划
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锥有效点
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锥有效解
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稳定性
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半连续性
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地址
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温州大学数学与信息科学学院, 温州, 325027
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语种
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中文 |
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文献类型
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研究性论文 |
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ISSN
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1000-0577 |
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学科
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数学 |
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基金
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国家自然科学基金
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文献收藏号
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CSCD:1485032
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参考文献 共
6
共1页
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