多目标优化问题近似解的非线性标量化刻画
NONLINEAR SCALARIZATIONS OF APPROXIMATE SOLUTIONS FOR MULTIOBJECTIVE PROGRAMMING PROBLEMS

本文主要研究非线性标量化问题近似解与多目标优化问题近似解的关系.利用两种范数建立非线性标量化问题，得到了多目标优化问题近似有效解和近似真有效解的非线性标量化结果，并给出例子对主要结果进行了说明.
In this paper, we study the relationships between approximate solutions of scalar problems and approximate solutions of multiobjective programming. By utilizing two kind of norms to establish scalar problems, the nonlinear scalarizations of approximate efficient solutions and approximate properly efficient solutions for multiobjective programming problems are obtained. Moreover, some examples are given to explain the main results