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Portfolio selection using λ mean and hybrid entropy

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Abstract

This paper develops a λ mean-hybrid entropy model to deal with portfolio selection problem with both random uncertainty and fuzzy uncertainty. Solving this model provides the investor a tradeoff frontier between security return and risk. We model the security return as a triangular fuzzy random variable, where the investor’s individual preference is reflected by the pessimistic-optimistic parameter λ. We measure the security risk using the hybrid entropy in this model. Algorithm is developed to solve this bi-objective portfolio selection model. Beside, a numerical example is also presented to illustrate this approach.

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Correspondence to Desheng Dash Wu.

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Xu, J., Zhou, X. & Wu, D.D. Portfolio selection using λ mean and hybrid entropy. Ann Oper Res 185, 213–229 (2011). https://doi.org/10.1007/s10479-009-0550-3

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