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.
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.
出处
《数学的实践与认识》
CSCD
北大核心
2012年第21期204-212,共9页
Mathematics in Practice and Theory
基金
国家自然科学基金(11026175)
教育部科学技术研究重点项目(212029)
内蒙古自然科学基金(2009BS0104)
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
set-valued maps
multiobjective semidefinite programming
generalized cone- subcon vexlikeness
Benson proper efficiency
