| 不变凸多目标规划对偶性的η-逼近方法 |
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| 引用本文： | 闫春雷.不变凸多目标规划对偶性的η-逼近方法[J].青岛大学学报(自然科学版),2011(3):1-5,18. |
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| 作者姓名： | 闫春雷 |
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| 作者单位： | 青岛大学数学科学学院; |
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| 摘 要： | 建立了不变凸多目标规划问题的η-逼近多目标规划问题与η-逼近Mond—Weir对偶问题，并通过其对偶性给出了原多目标规划问题与其Mond—weir对偶问题的对偶性。
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| 关 键 词： | η-逼近多目标规划问题 η-逼近Mond—Weir对偶问题 不变凸 弱有效解 对偶性 |
An η-Approximation Method to Duality in Multiobjective Programming Involving Invex Functions |
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| Yan Chun-lei.An η-Approximation Method to Duality in Multiobjective Programming Involving Invex Functions[J].Journal of Qingdao University(Natural Science Edition),2011(3):1-5,18. |
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| Authors: | Yan Chun-lei |
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| Institution: | Yan Chun-lei(College of Mathematics,Qingdao University,Qingdao 266071,China) |
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| Abstract: | An η-approximated multiobjective program associated with the original multiobjective problem involving invex functions and its η-approximated Mond-Weir dual problem are constructed;By the help of η-approximated dual problems various duality results are established for the original multiobjective problem and its original Mond-Weir duals. |
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| Keywords: | η-approximated multiobjective program η-Mond-Weir dual problem invex function weakly efficient solution duality |
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