带有梯形模糊数的均值-方差投资组合模型比较分析

邓 雪1; 王妍超2

带有梯形模糊数的均值-方差投资组合模型比较分析

引用本文：邓雪1,王妍超2.带有梯形模糊数的均值-方差投资组合模型比较分析[J].经济数学,2011,(3):49-54

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作者	单位
邓雪1,王妍超2	（1. 华南理工大学理学院数学系，广东广州 510640；2. 暨南大学管理学院，广东广州 510632）

中文摘要:采用梯形模糊数来描述证券的收益率，并建立基于梯形模糊数的收益最大化单目标均值-方差模型、风险最小化单目标均值-方差模型、和收益最大化风险最小化的双目标均值-方差模型.对上述三种模型进行实例分析，讨论投资比例系数上界为1和0.7两种不同情况下三种模型的对比，进而证明模型的可行性以及分析不同模型之间的差异性.

中文关键词:投资组合梯形模糊数均值-方差模型可能性均值可能性方差

Comparative Analysis on Mean -variance Portfolio Model with Trapezoid Fuzzy Number

Abstract:The security return was described by trapezoid fuzzy number. The maximizing return single objective portfolio model, the minimizing risk single objective portfolio model, and the maximizing return and minimizing risk bi -objective portfolio model were proposed with trapezoid fuzzy number return. Numerical example was given to verify the feasibility of the models, to illustrate our proposed three models, to compare and analyze the differences among three models when the invest proportional coefficient upper bounds are 1 and 0.7 respectively.

keywords:portfolio investment trapezoid fuzzy number mean -variance model possibilistic mean possibilistic variance

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