A multiobjective credibilistic portfolio selection model. Empirical study in the latin american integrated market

Fernando García, Jairo González-Bueno, Francisco Guijarro, Javier Oliver

Research output: Contribution to journalArticle in an indexed scientific journalpeer-review

11 Scopus citations


This paper extends the stochastic mean-semivariance model to a fuzzy multiobjective model, where apart from return and risk, also liquidity is considered to measure the performance of a portfolio. Uncertainty of future return and liquidity of each asset are modeled using L-R type fuzzy numbers that belong to the power reference function family. The decision process of this novel approach takes into account not only the multidimensional nature of the portfolio selection problem but also realistic constraints by investors. Particularly, it optimizes the expected return, the semivariance and the expected liquidity of a given portfolio, considering cardinality constraint and upper and lower bound constraints. The constrained portfolio optimization problem resulting is solved using the algorithm NSGA-II. As a novelty, in order to select the optimal portfolio, this study defines the credibilistic Sortino ratio as the ratio between the credibilistic risk premium and the credibilistic semivariance. An empirical study is included to show the effectiveness and efficiency of the model in practical applications using a data set of assets from the Latin American Integrated Market.

Original languageEnglish
Pages (from-to)1027-1046
Number of pages20
JournalEntrepreneurship and Sustainability Issues
Issue number2
StatePublished - Dec 2020

Bibliographical note

Publisher Copyright:
© 2020 by author(s) and VsI Entrepreneurship and Sustainability Center.


  • Credibility theory
  • Emerging financial markets
  • Evolutionary multiobjective optimization
  • Fuzzy portfolio selection
  • L-R Fuzzy numbers
  • Mean-Semivariance-Liquidity

Types Minciencias

  • Artículos de investigación con calidad A1 / Q1


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