| 带有极值函数的多目标双层规划问题的对偶 |
| |
| 引用本文： | 黄海军,张瑞芳.带有极值函数的多目标双层规划问题的对偶[J].数学研究及应用,2015,35(3):311-320. |
| |
| 作者姓名： | 黄海军 张瑞芳 |
| |
| 作者单位： | 太原师范学院数学系, 山西 太原 030619;太原师范学院数学系, 山西 太原 030619 |
| |
| 基金项目： | 国家自然科学基金 (Grant No.11171250). |
| |
| 摘 要： | For a multiobjective bilevel programming problem(P) with an extremal-value function,its dual problem is constructed by using the Fenchel-Moreau conjugate of the functions involved.Under some convexity and monotonicity assumptions,the weak and strong duality assertions are obtained.
|
| 关 键 词： | multiobjective optimization bilevel programming problems conjugate duality convex programming composed convex functions |
| 收稿时间： | 2014/3/16 0:00:00 |
| 修稿时间： | 3/3/2015 12:00:00 AM |
Duality for Multiobjective Bilevel Programming Problems with Extremal-Value Function |
| |
| Haijun WANG and Ruifang ZHANG.Duality for Multiobjective Bilevel Programming Problems with Extremal-Value Function[J].Journal of Mathematical Research with Applications,2015,35(3):311-320. |
| |
| Authors: | Haijun WANG and Ruifang ZHANG |
| |
| Institution: | Department of Mathematics, Taiyuan Normal University, Shanxi 030619, P. R. China;Department of Mathematics, Taiyuan Normal University, Shanxi 030619, P. R. China |
| |
| Abstract: | For a multiobjective bilevel programming problem $(P)$ with an extremal-value function, its dual problem is constructed by using the Fenchel-Moreau conjugate of the functions involved. Under some convexity and monotonicity assumptions, the weak and strong duality assertions are obtained. |
| |
| Keywords: | multiobjective optimization bilevel programming problems conjugate duality convex programming composed convex functions |
| 本文献已被 CNKI 等数据库收录！ |
| 点击此处可从《数学研究及应用》浏览原始摘要信息 |
| 点击此处可从《数学研究及应用》下载免费的PDF全文 |
