向量优化问题近似解的非线性标量化刻画

Approximate Solution in Vector Optimization Problems via Nonlinear Scalar Characterization

在co-radiant集的基础上提出了一类新的(C,ε)-(弱)有效解,讨论了这类解的一些性质.研究了向量优化问题中Kutateladze定义的近似解与这类新(C,ε)-(弱)有效解的关系,用单调标量化方法得到了δq-近似解的充分条件.

The paper proposed a new class of（ C,ε）-（ weak） efficient solution basis on co-radiant set and discussed,some properties of these solutions.This paper is to study relations between the approximate solutions in vector optimization problems,defined by Kutateladze and the new（ weak） effective solutions,and the δq-（ weak） effective solutions＇ s sufficient condition is obtained by monotonous scalarization means.