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直觉模糊多目标证券投资组合决策

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针对证券投资产品收益的直觉模糊不确定性,运用直觉模糊数来弹性评估投资产品预期收益,并通过直觉模糊可能性均值和方差来度量投资组合收益和风险.接着基于投资组合收益最大和风险最小及信息熵最小等多个目标构建一个新的直觉模糊投资组合决策模型,进而再运用线性加权方法将其转化为单目标模型来快速获取最优投资组合策略.最后通过真实股票投资实例表明该投资组合模型方法的有效性,且投资者可根据不同目标偏好适时调整优化投资策略.
Intuitionistic Fuzzy Multi-objective Portfolio Decision-making for Securities
In order to deal with security portfolio problem with intuitionistic fuzzy return,intuitionistic fuzzy number is used to assess the uncertain return of security and employs intuitionistic fuzzy mean and variance to measure portfolio return and risk respectively firstly.A new intuitionistic fuzzy portfolio decision model is constructed with multiple objectives such as maximizing portfolio return,minimizing risk and information entropy.Then,by using a linear weighting method,the complex model is transformed into a single-objective model for solving the optimal strategy.Finally,the effectiveness of the portfolio method is demonstrated by a real stock investment numerical example,and the optimal portfolio strategy can be adjusted according to the different goal preferences of investors.

intuitionistic fuzzy numbermulti-objective portfoliomeanvarianceentropy

张倩生、李锦云

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广东外语外贸大学数学与统计学院,广州 510006

直觉模糊数 多目标投资组合 均值 方差

国家自然科学基金

12171103

2024

科技和产业
中国技术经济学会

科技和产业

影响因子:0.361
ISSN:1671-1807
年,卷(期):2024.24(5)
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