Fuzzy Mathematical Programming for Portfolio Management

  • Teresa León
  • Vicente Liern
  • Enriqueta Vercher
Part of the Contributions to Management Science book series (MANAGEMENT SC.)


The classical portfolio selection problem was formulated by Markowitz in the 1950s as a quadratic programming problem in which the risk variance is minimized. Since then, many other models have been considered and their associated mathematical programming formulations can be viewed as dynamic, stochastic or static decision problems. In our opinion, the model formulation depends essentially on two factors: the data nature and the treatment given to the risk and return goals. In this communication, we consider several approaches to deal with the data uncertainty for different classical formulations of the portfolio problem. We make use of duality theory and fuzzy programming techniques to analyze the solutions provided by these approaches and to repair infeasible instances.


Membership Function Fuzzy Number Portfolio Selection Portfolio Management Portfolio Return 
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Copyright information

© Springer-Verlag Berlin Heidelberg 2000

Authors and Affiliations

  • Teresa León
    • 1
  • Vicente Liern
    • 2
  • Enriqueta Vercher
    • 1
  1. 1.Dep. d’Estadística i Investigació OperativaUniversitat de ValènciaSpain
  2. 2.Dep. d’Economia Financera i MatemàticaUniversitat de ValènciaSpain

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