摘要
研究了多目标优化问题的(ε,ε)-拟近似真有效解,利用已有的多目标优化问题的非线性标量化问题,在没有任何凸性条件下,研究了多目标优化问题的(ε,ε)-拟近似真有效解的充分和必要条件.
In this paper, We consider （ε,-ε）-approximate quasi properly efficient solutions of multiobjective optimization problems. Base on the existing nonlinear scalarization problems, we derive several necessary and sufficient conditions for （ε,-ε）-approximate quasi efficient solutions of multiobjective optimization problems without any convexity conditions.
出处
《数学的实践与认识》
北大核心
2015年第21期282-289,共8页
Mathematics in Practice and Theory
基金
国家自然科学基金(11201511)
重庆市科委项目(cstc2015jcyjA00005)
重庆市教委项目(KJ1500309)
关键词
多目标优化
拟近似解
非线性标量化
multiobjective optimization
scalarization
approximate quasi solutions
