| 广义凸性条件下一类多目标分式规划问题的最优性条件和对偶 |
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| 引用本文： | 丁可伟,程正琼,项兆虹,闵心畅.广义凸性条件下一类多目标分式规划问题的最优性条件和对偶[J].宜宾学院学报,2008,8(6). |
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| 作者姓名： | 丁可伟 程正琼 项兆虹 闵心畅 |
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| 作者单位： | 1. 四川大学数学学院,成都,610064
2. 四川农业大学数学系,四川雅安,625014 |
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| 基金项目： | 国家自然科学基金
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| 摘 要： | 本文在广义凸性条件下讨论了一类带扰动的多目标分式规划问题的最优性条件和对偶．将这类多目标分式规划问题转化为多目标规划问题，我们给出了原问题的最优性充分条件，并得到了弱对偶和强对偶结果．
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| 关 键 词： | 广义凸性 多目标分式规划问题 最优性条件 对偶 |
Optimality Condition and Duality Results for a Class of Multi-objective Fractional Programming Problems with Generalized Convexity |
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| Authors: | DING Ke-wei CHENG Zheng-qiong XIANG Zhao-hong MIN Xin-chang |
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| Institution: | DING Ke-wei1,CHENG Zheng-qiong2,XIANG Zhao-hong1,MIN Xin-chang1 (1.Mathematical College,Sichuan University,Chengdu 610064,China,2.Department of Mathematics,Sichuan Agricultural University,Ya\'an 625014,China) |
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| Abstract: | In the article,it introduces and studies a class of multi-objective fractional programming problems with perturbation under generalized convexity conditions.It claims that the multi-objective fractional programming problem is equivalent to the multi-objective programming problem and establish a sufficient optimality condition for the multi-objective fractional programming problem.It also obtains the weak and strong duality theorems for the multi-objective fractional programming problem. |
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| Keywords: | Generalized Convexity Multi-objective Fractional Programming Optimality Condition Duality |
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