多目标优化问题(ε,ε)-拟近似真有效解的非线性标量化  

Nonlinear Scalarizations for(ε,ε)—approximate Quasi Solutions of Multiobjective Optimization Problems

作　　者：岳瑞雪[1] 高英[1] 

机构地区：[1]重庆师范大学数学科学学院,重庆401331

出　　处：《数学的实践与认识》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)

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.

关 键 词：多目标优化 拟近似解 非线性标量化 

分 类 号：O221.6[理学—运筹学与控制论]