中文摘要：

本文研究了多目标优化问题的（ε,ε^-）-拟近似解.利用文献给出的多目标优化问题统一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（ε,ε^-）-拟近似解的充分和必要条件.最后,利用文献中给出的的范数,对多目标优化问题的（ε,ε^-）-拟近似解进行了非线性标量化刻画.本文第3节推广了文献中的结果.

英文摘要：

In this paper,we consider（ε,ε-）-approximate quasi efficient solutions of multiobjective optimization problems.Based on the uniform nonlinear scalarization problems given in[1],we derive several necessary and sufficient conditions for（ε,ε^-）-approximate quasi efficient solutions of multiobjective optimization problems without any convexity conditions.Finally,using the norm given in the,we derive a kind of nonlinear scalarization problem for（ε,ε^-）-approximate quasi efficient solutions of multiobjective optimization problems.Section 3 in this paper extends the results in[1].