多目标优化的广义Pascoletti-Serafini标量化

Generalized Pascoletti-Serafini scalarization for multi-objectiveoptimization

广义Tchebycheff范数是研究多目标优化问题各类解性质的重要工具之一.本文基于广义Tchebycheff范数的推广形式提出多目标优化问题的一类广义Pascoletti-Serafini标量化模型,进而基于这类标量化模型并在模型参数范围的恰当限制下获得了一般多目标优化问题弱有效解、有效解、严有效解和真有效解的一些标量化刻画结果.

The generalized Tchebycheff norm is an important tool for studying the properties of various solutions of multi-objective optimization problems.In this paper,based on the extended generalized Tchebycheff norm,a generalized Pascoletti-Serafini scalarization model for multi-objective optimization problems is proposed,and then based on this kind of scalarization model,some scalarization characterization results of weakly efficient solutions,efficient solutions,strictly efficient solutions,and properly efficient solutions are obtained for a class of general multi-objective optimization problems under the appropriate constraints of the model parameter range.