| 多目标弧式凸规划的对偶理论 |
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| 引用本文： | 李仲飞. 多目标弧式凸规划的对偶理论[J]. 内蒙古大学学报(自然科学版), 1992, 23(1): 15-21 |
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| 作者姓名： | 李仲飞 |
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| 作者单位： | 内蒙古大学数学系 |
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| 摘 要： | 本文讨论多目标弧式凸规划的对偶理论.我们建立了多目标孤式凸规划的三个对偶模型,并证明了关于Pareto有效解的弱对偶、直接对偶和逆对偶定理.
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| 关 键 词： | 对偶性 多目标规划 Pareto有效解 弧式拟凸 弧式伪凸 |
Duality Theory of Multiobjective Arcwise-convex Programming |
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| Li Zhongfei. Duality Theory of Multiobjective Arcwise-convex Programming[J]. Acta Scientiarum Naturalium Universitatis Neimongol, 1992, 23(1): 15-21 |
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| Authors: | Li Zhongfei |
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| Affiliation: | Li Zhongfei Department of Mathematics |
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| Abstract: | We discuss the duality theory of multiobjective arcwise-convex programming.Three dual models of multiobjective arcwise-convex programming are established and the theorems of weak duality,direct duality and converse duality for Pareto efficient solutions are proved. |
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| Keywords: | duality multiobjective programming Pareto efficient solution arcwise quasi-convexity arcwise pseudo-convexity |
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