| 多目标规划的 Lagrange 对偶与标量化定理 |
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| 引用本文： | 李仲飞.多目标规划的 Lagrange 对偶与标量化定理[J].系统科学与数学,1993,14(3):211-217. |
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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 呼和浩特010021
(李仲飞)，中国科学院系统科学研究所 北京100080(汪寿阳) |
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| 基金项目： | 国家自然科学基金资助课题 |
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| 摘 要： | 定义与问题设 K(?)R~p 为内部非空的点锥,则 K 在 R~p 上确定了如下偏序:x≦K.y(?)y-x∈K,xk(?)}.
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LAGRANGE DUALITY AND SCALARIZATION IN MULTIOBJECTIVE PROGRAMMING |
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| LI ZHONG-FEI ,WANG SHOU-YANG.LAGRANGE DUALITY AND SCALARIZATION IN MULTIOBJECTIVE PROGRAMMING[J].Journal of Systems Science and Mathematical Sciences,1993,14(3):211-217. |
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| Authors: | LI ZHONG-FEI WANG SHOU-YANG |
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| Institution: | (1)Department of Mathematics,Inner Mongolia University,Hohhot 010021;(2)Institute of Systems Science,Academia Sinica,Beijing 100080) |
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| Abstract: | In this paper,we study Lagrange duality and scalarization in multiobjective optimization.Under some weak assumptions,we prove a Lagrange multiplier theorem,two weak saddlepoint theorems,a weak duality theorem and a strong duality theorem.Finally,a theorem onscalarization is also presented. |
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