| 不变凸多目标规划的对偶 |
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| 引用本文： | 王彩玲,杨雪.不变凸多目标规划的对偶[J].吉林大学学报(理学版),2016,54(2):276-278. |
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| 作者姓名： | 王彩玲 杨雪 |
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| 作者单位： | 1. 吉林大学 数学学院, 长春 130012; 2. 长春建筑学院 基础教学部， 长春 130600 |
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| 摘 要： | 给出一类复合向量值不变凸函数,并将该类不变凸函数应用到多目标规划问题上,建立了这类不变凸多目标规划的Craven型对偶,并证明了原规划与对偶规划之间的弱对偶、强对偶和逆对偶定理.
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| 关 键 词： | 凸规划 多目标问题 对偶 |
| 收稿时间： | 2015-08-10 |
Duality of Invex Convex Multiobjective Programming |
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| WANG Cailing,YANG Xue.Duality of Invex Convex Multiobjective Programming[J].Journal of Jilin University: Sci Ed,2016,54(2):276-278. |
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| Authors: | WANG Cailing YANG Xue |
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| Institution: | 1. College of Mathematics, Jilin University, Changchun 130012, China;2. The Basic Teaching, Changchun Architecture & Civil Engineering College, Changchun 130600, China |
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| Abstract: | The author gave a class of composite vector valued invariant invex function, and applied it to the nonsmooth multiobjective programming problem. The author established a general Craven type of duality and proved weak, strong and converse duality theorems under the nonsmooth composite multiobjective programming. |
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| Keywords: | convex programming multiobjective problem duality |
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