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“Indicators for the characterization of discrete Choquet integrals”

Author

Listed:
  • Jaume Belles-Sampera

    (Faculty of Economics, University of Barcelona)

  • Montserrat Guillén

    (Faculty of Economics, University of Barcelona)

  • José M. Merigó

    (Faculty of Economics, University of Barcelona)

  • Miguel Santolino

    (Faculty of Economics, University of Barcelona)

Abstract

Ordered weighted averaging (OWA) operators and their extensions are powerful tools used in numerous decision-making problems. This class of operator belongs to a more general family of aggregation operators, understood as discrete Choquet integrals. Aggregation operators are usually characterized by indicators. In this article four indicators usually associated with the OWA operator are extended to discrete Choquet integrals: namely, the degree of balance, the divergence, the variance indicator and Renyi entropies. All of these indicators are considered from a local and a global perspective. Linearity of indicators for linear combinations of capacities is investigated and, to illustrate the application of results, indicators of the probabilistic ordered weighted averaging (POWA) operator are derived. Finally, an example is provided to show the application to a speci c context.

Suggested Citation

  • Jaume Belles-Sampera & Montserrat Guillén & José M. Merigó & Miguel Santolino, 2013. "“Indicators for the characterization of discrete Choquet integrals”," IREA Working Papers 201311, University of Barcelona, Research Institute of Applied Economics, revised May 2013.
    • Handle: RePEc:ira:wpaper:201311
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