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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
Affiliation: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
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