| 多目标规划强较多有效解和弱较多有效解的标量化和对偶性 |
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| 引用本文： | 周轩伟.多目标规划强较多有效解和弱较多有效解的标量化和对偶性[J].高校应用数学学报(A辑),2008,23(3). |
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| 作者姓名： | 周轩伟 |
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| 作者单位： | 温州大学数学与信息科学学院,浙江温州,325035 |
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| 摘 要： | 利用n维Euclid空间中较多锥的闭包,定义了多目标规划强较多有效解.利用较多锥闭包的Minkowski泛函,给出了强较多有效解和弱较多有效解的标量化结果,并讨论了强较多有效解和弱较多有效解的标量对偶问题及其应用.
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| 关 键 词： | 多目标规划 强较多有效解 弱较多有效解 标量化 |
Scalarization and scalar duality for strongly major-efficient solutions and weakly major-efficient solutions of multiobjective programming |
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| ZHOU Xuan-wei.Scalarization and scalar duality for strongly major-efficient solutions and weakly major-efficient solutions of multiobjective programming[J].Applied Mathematics A Journal of Chinese Universities,2008,23(3). |
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| Authors: | ZHOU Xuan-wei |
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| Abstract: | The strongly major-efficient solutions of multiobjective programming are defined by using the closure of major-cone in the n-dimensional Euclid space.Then,on the basis of the Minkowski functional of closure of a major cone,the scalarization results for strongly major-efficient solutions and weakly major-efficient solutions are given,and the scalar duality and its applications for strongly major-efficient solutions and weakly major-efficient solutions are discussed. |
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| Keywords: | multiobjective programming strongly major-efficient solution weakly major-efficient solution scalarization |
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