Skip to main content
Top

2015 | OriginalPaper | Chapter

OWA Operators in Portfolio Selection

Authors : Sigifredo Laengle, Gino Loyola, José M. Merigó

Published in: Scientific Methods for the Treatment of Uncertainty in Social Sciences

Publisher: Springer International Publishing

Activate our intelligent search to find suitable subject content or patents.

search-config
loading …

Abstract

Portfolio choice is the process of selecting the optimal proportion of various assets. One of the most well-known methods is the mean-variance approach developed by Harry Markowitz. This paper introduces the ordered weighted average (OWA) in the mean-variance model. The key idea is that the mean and the variance can be extended with the OWA operator being able to consider different degrees of optimism or pessimism in the analysis. Thus, this method can adapt to a wide range of scenarios providing a deeper representation of the available information from the most pessimistic situation to the most optimistic one.

Dont have a licence yet? Then find out more about our products and how to get one now:

Springer Professional "Wirtschaft+Technik"

Online-Abonnement

Mit Springer Professional "Wirtschaft+Technik" erhalten Sie Zugriff auf:

  • über 102.000 Bücher
  • über 537 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Finance + Banking
  • Management + Führung
  • Marketing + Vertrieb
  • Maschinenbau + Werkstoffe
  • Versicherung + Risiko

Jetzt Wissensvorsprung sichern!

Springer Professional "Technik"

Online-Abonnement

Mit Springer Professional "Technik" erhalten Sie Zugriff auf:

  • über 67.000 Bücher
  • über 390 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Maschinenbau + Werkstoffe




 

Jetzt Wissensvorsprung sichern!

Springer Professional "Wirtschaft"

Online-Abonnement

Mit Springer Professional "Wirtschaft" erhalten Sie Zugriff auf:

  • über 67.000 Bücher
  • über 340 Zeitschriften

aus folgenden Fachgebieten:

  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Finance + Banking
  • Management + Führung
  • Marketing + Vertrieb
  • Versicherung + Risiko




Jetzt Wissensvorsprung sichern!

Literature
go back to reference Beliakov, G., Calvo, T., Pradera, A.: Aggregation Functions: A Guide for Practitioners. Springer, Berlin (2007) Beliakov, G., Calvo, T., Pradera, A.: Aggregation Functions: A Guide for Practitioners. Springer, Berlin (2007)
go back to reference Emrouznejad, A., Marra, M.: Ordered weighted averaging operators 1988–2014: a citation based literature survey. Int. J. Intell. Syst. 29, 994–1014 (2014)CrossRef Emrouznejad, A., Marra, M.: Ordered weighted averaging operators 1988–2014: a citation based literature survey. Int. J. Intell. Syst. 29, 994–1014 (2014)CrossRef
go back to reference Engemann, K.J., Filev, D.P., Yager, R.R.: Modelling decision making using immediate probabilities. Int. J. Gen. Syst. 24, 281–294 (1996)MATHCrossRef Engemann, K.J., Filev, D.P., Yager, R.R.: Modelling decision making using immediate probabilities. Int. J. Gen. Syst. 24, 281–294 (1996)MATHCrossRef
go back to reference Fodor, J., Marichal, J.L., Roubens, M.: Characterization of the ordered weighted averaging operators. IEEE Trans. Fuzzy Syst. 3, 236–240 (1995)CrossRef Fodor, J., Marichal, J.L., Roubens, M.: Characterization of the ordered weighted averaging operators. IEEE Trans. Fuzzy Syst. 3, 236–240 (1995)CrossRef
go back to reference Garlappi, L., Uppal, R., Wang, T.: Portfolio selection with parameter and model uncertainty: a multi-prior approach. Rev. Financ. Stud. 20, 41–81 (2007)CrossRef Garlappi, L., Uppal, R., Wang, T.: Portfolio selection with parameter and model uncertainty: a multi-prior approach. Rev. Financ. Stud. 20, 41–81 (2007)CrossRef
go back to reference Kolm, P.N., Tütüncü, R., Fabozzi, F.J.: 60 years of portfolio optimization: practical challenges and current trends. Eur. J. Oper. Res. 234, 356–371 (2014)MATHCrossRef Kolm, P.N., Tütüncü, R., Fabozzi, F.J.: 60 years of portfolio optimization: practical challenges and current trends. Eur. J. Oper. Res. 234, 356–371 (2014)MATHCrossRef
go back to reference Maccheroni, F., Marinacci, M., Ruffino, D.: Alpha as ambiguity: robust mean-variance portfolio analysis. Econometrica 81, 1075–1113 (2013)MATHMathSciNetCrossRef Maccheroni, F., Marinacci, M., Ruffino, D.: Alpha as ambiguity: robust mean-variance portfolio analysis. Econometrica 81, 1075–1113 (2013)MATHMathSciNetCrossRef
go back to reference Markowitz, H.M.: Portfolio selection. J. Financ. 7, 77–91 (1952) Markowitz, H.M.: Portfolio selection. J. Financ. 7, 77–91 (1952)
go back to reference Merigó, J.M.: Probabilities with OWA operators. Expert Syst. Appl. 39, 11456–11467 (2012)CrossRef Merigó, J.M.: Probabilities with OWA operators. Expert Syst. Appl. 39, 11456–11467 (2012)CrossRef
go back to reference Merigó, J.M., Engemann, K.J., Palacios-Marqués, D.: Decision making with Dempster-Shafer theory and the OWAWA operator. Technol. Econ. Dev. Econ. 19, S194–S212 (2013)CrossRef Merigó, J.M., Engemann, K.J., Palacios-Marqués, D.: Decision making with Dempster-Shafer theory and the OWAWA operator. Technol. Econ. Dev. Econ. 19, S194–S212 (2013)CrossRef
go back to reference Merigó, J.M., Gil-Lafuente, A.M.: The induced generalized OWA operator. Inf. Sci. 179, 729–741 (2009)MATHCrossRef Merigó, J.M., Gil-Lafuente, A.M.: The induced generalized OWA operator. Inf. Sci. 179, 729–741 (2009)MATHCrossRef
go back to reference Merigó, J.M., Lobato-Carral, C., Carrilero-Castillo, A.: Decision making in the European Union under risk and uncertainty. Eur. J. Int. Manage. 6, 590–609 (2012)CrossRef Merigó, J.M., Lobato-Carral, C., Carrilero-Castillo, A.: Decision making in the European Union under risk and uncertainty. Eur. J. Int. Manage. 6, 590–609 (2012)CrossRef
go back to reference Sharpe, W.F.: A simplified model for portfolio analysis. Manage. Sci. 9, 277–293 (1963)CrossRef Sharpe, W.F.: A simplified model for portfolio analysis. Manage. Sci. 9, 277–293 (1963)CrossRef
go back to reference Wu, H.L., Zeng, Y., Yao, H.X.: Multi-period Markowitz’s mean-variance portfolio selection with state-dependent exit probability. Econ. Model. 36, 69–78 (2014)CrossRef Wu, H.L., Zeng, Y., Yao, H.X.: Multi-period Markowitz’s mean-variance portfolio selection with state-dependent exit probability. Econ. Model. 36, 69–78 (2014)CrossRef
go back to reference Xu, Z.S., Da, Q.L.: An overview of operators for aggregating the information. Int. J. Intell. Syst. 18, 953–969 (2003)MATHCrossRef Xu, Z.S., Da, Q.L.: An overview of operators for aggregating the information. Int. J. Intell. Syst. 18, 953–969 (2003)MATHCrossRef
go back to reference Yager, R.R.: On ordered weighted averaging aggregation operators in multi-criteria decision making. IEEE Trans. Syst. Man Cybern. B 18, 183–190 (1988)MATHMathSciNetCrossRef Yager, R.R.: On ordered weighted averaging aggregation operators in multi-criteria decision making. IEEE Trans. Syst. Man Cybern. B 18, 183–190 (1988)MATHMathSciNetCrossRef
go back to reference Yager, R.R.: On the inclusion of variance in decision making under uncertainty. Int. J. Uncertainty Fuzziness Knowl. Based Syst. 4, 401–419 (1996)MATHMathSciNetCrossRef Yager, R.R.: On the inclusion of variance in decision making under uncertainty. Int. J. Uncertainty Fuzziness Knowl. Based Syst. 4, 401–419 (1996)MATHMathSciNetCrossRef
go back to reference Yager, R.R., Filev, D.P.: Induced ordered weighted averaging operators. IEEE Trans. Syst. Man Cybern. 29, 141–150 (1999)CrossRef Yager, R.R., Filev, D.P.: Induced ordered weighted averaging operators. IEEE Trans. Syst. Man Cybern. 29, 141–150 (1999)CrossRef
go back to reference Yager, R.R., Kacprzyk, J., Beliakov, G.: Recent Developments on the Ordered Weighted Averaging Operators: Theory and Practice. Springer, Berlin (2011)CrossRef Yager, R.R., Kacprzyk, J., Beliakov, G.: Recent Developments on the Ordered Weighted Averaging Operators: Theory and Practice. Springer, Berlin (2011)CrossRef
go back to reference Zopounidis, C., Doumpos, M., Fabozzi, F.J.: Preface to the special issue: 60 years following Harry Markowitz’s contributions in portfolio theory and operations research. Eur. J. Oper. Res. 234, 343–345 (2014)MATHMathSciNetCrossRef Zopounidis, C., Doumpos, M., Fabozzi, F.J.: Preface to the special issue: 60 years following Harry Markowitz’s contributions in portfolio theory and operations research. Eur. J. Oper. Res. 234, 343–345 (2014)MATHMathSciNetCrossRef
Metadata
Title
OWA Operators in Portfolio Selection
Authors
Sigifredo Laengle
Gino Loyola
José M. Merigó
Copyright Year
2015
DOI
https://doi.org/10.1007/978-3-319-19704-3_5

Premium Partner