摘要
研究了多目标优化问题的一类近似有效解、近似弱有效解和近似真有效解,并利用切锥、可行方向锥、ε-法锥等几何概念刻画了近似解的必要性及充分性条件.
In this paper,we study the necessary and sufficient optimality conditions for approximate weakly,approximate efficiently and approximate properly efficient solutions for multiobjective optimization problems.Here,tangent cone,ε-normal cone,and cones of feasible directions are used in their characterization.
出处
《西南大学学报(自然科学版)》
CAS
CSCD
北大核心
2015年第9期100-105,共6页
Journal of Southwest University(Natural Science Edition)
基金
国家自然科学基金(11201511)
重庆市重点实验室专项项目(CSTC
2011KLORSE03)
关键词
多目标规划
近似解
锥刻画
multiobjective programming problem
approximate solution
cone characterization