用三角模糊数描述证券的收益率,同时基于流动性与证券收益之间存在的负相关关系,设置流动性的效用函数,从而建立一种考虑流动性的多目标投资组合优化模型,再将多目标模型转化为单目标模型,用Lagrange乘子法求解并进行数值试验.
This paper builds a multi-obj ective functions model with possibilistic mean,possibi-listic covariance and liquidity based on the negative correlation between stocks'liquidity and their returns.Lagrange multiplier method is used to solve the problem after transform of the multi-obj ective functions model into a single obj ective function model,and numerical experi-ment is given at last.