| 集值映射多目标半定规划的Benson真有效性 |
| |
| 引用本文： | 袁春红,戎卫东.集值映射多目标半定规划的Benson真有效性[J].数学的实践与认识,2012,42(21):204-212. |
| |
| 作者姓名： | 袁春红 戎卫东 |
| |
| 作者单位： | 1. 内蒙古师范大学数学科学学院,内蒙古呼和浩特,010022
2. 内蒙古大学数学科学学院,内蒙古呼和浩特,010021 |
| |
| 基金项目： | 国家自然科学基金，教育部科学技术研究重点项目，内蒙古自然科学基金 |
| |
| 摘 要： | 将多目标半定规划问题推广到集值映射,在广义锥-次类凸条件下,在Benson真有效性意义下研究了问题的标量化,Lagrange函数与无约束化,真鞍点条件和对偶性.
|
| 关 键 词： | 集值映射 多目标半定规划 广义锥-次类凸 Benson真有效性 |
Benson Proper Efficiency of Multiobjective Semidefinite Programming with Set-Valued Maps |
| |
| YUAN Chun-hong
,
RONG Wei-dong.Benson Proper Efficiency of Multiobjective Semidefinite Programming with Set-Valued Maps[J].Mathematics in Practice and Theory,2012,42(21):204-212. |
| |
| Authors: | YUAN Chun-hong RONG Wei-dong |
| |
| Institution: | 1.College of Mathematics Science,Inner Mongolia Normal University,Huhhot 010022,China) (2.College of Mathematics Science,Inner Mongolia University,Huhhot 010021,China) |
| |
| Abstract: | This paper extends the problem of multiobjective semidefinite programming of single-valued to set-valued maps.Under the condition of generalized cone-subconvexlikeness, we study the scalarization,Lagrange function and unconstrained optimization,the condition of week saddle point and the properties of duality of the primal programming based on Benson proper efficiency. |
| |
| Keywords: | set-valued maps multiobjective semidefinite programming generalized conesubcon vexlikeness Benson proper efficiency |
| 本文献已被 CNKI 万方数据 等数据库收录！ |
