| 广义凸(h,φ)多目标规划的充分性和对偶性 |
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| 引用本文： | 余国林,张素玲.广义凸(h,φ)多目标规划的充分性和对偶性[J].吉林大学学报(理学版),2007,45(5):707-712. |
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| 作者姓名： | 余国林 张素玲 |
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| 作者单位： | 1. 北方民族大学 信息与系统科学研究所, 银川 750021; 2. 焦作大学 基础部, 河南省 焦作 454003 |
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| 摘 要： | 在两类(h,φ)广义凸函数的假设下, 用分析方法研究(h,φ)多目标规划的最优性条件和对偶问题, 得到了一些充分最优性条件和对偶定理.
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| 关 键 词： | 多目标规划 (h φ)typeⅠ 拟(h φ)typeⅠ 对偶 |
| 文章编号： | 1671-5489（2007）05-0707-06 |
| 收稿时间： | 2006-11-27 |
| 修稿时间： | 2006-11-27 |
Sufficiency and Duality for (h,φ)-Multiobjective Programming with Generalized Convexity |
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| YU Guo-lin,ZHANG Su-ling.Sufficiency and Duality for (h,φ)-Multiobjective Programming with Generalized Convexity[J].Journal of Jilin University: Sci Ed,2007,45(5):707-712. |
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| Authors: | YU Guo-lin ZHANG Su-ling |
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| Institution: | 1. Research Institute of Information and System Computation Science, North National University, Yinchuan 750021, China;2. Department of Foundation, Jiaozuo University, Jiaozuo 454003, Henan Province, China |
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| Abstract: | Under the assumptions of two classes of generalized (h,φ)convex functions, this paper deals with the optimality and duality for(h,φ)multiobjective programming problem by using analytic method. The sufficient optimality conditions and dual theorems were established for (h,φ)multiobjective programming problem. |
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| Keywords: | multiobjective programming (h φ)type Ⅰ quasi (h φ)type Ⅰ duality |
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