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“Indicators for the characterization of discrete Choquet integrals”

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Author Info

  • 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.

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File URL: http://www.ub.edu/irea/working_papers/2013/201311.pdf
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Bibliographic Info

Paper provided by University of Barcelona, Research Institute of Applied Economics in its series IREA Working Papers with number 201311.

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Length: 33 pages
Date of creation: May 2013
Date of revision: May 2013
Handle: RePEc:ira:wpaper:201311

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Postal: Tinent Coronel Valenzuela, Num 1-11 08034 Barcelona
Web page: http://www.ub.edu/irea/
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Related research

Keywords: Orness; Divergence; Entropy; Choquet integral; OWA; POWA. JEL classification:;

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References

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  1. Raquel Ortega-Argilés & Mariacristina Piva & Marco Vivarelli, 2011. "The Transatlantic Productivity Gap: Is R&D the Main Culprit?," IREA Working Papers 201103, University of Barcelona, Research Institute of Applied Economics, revised Mar 2011.
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  7. Fageda, Xavier & Flores-Fillol, Ricardo, 2012. "Air services on thin routes: Regional versus low-cost airlines," Regional Science and Urban Economics, Elsevier, vol. 42(4), pages 702-714.
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  10. David Castells & Vicente Royuela, 2011. "Agglomeration, Inequality and Economic Growth," IREA Working Papers 201114, University of Barcelona, Research Institute of Applied Economics, revised Apr 2012.
  11. Isabel Cortés-Jiménez & Manuela Pulina & Carme Riera i Prunera & Manuel Artís, 2009. "Tourism and Exports as a means of Growth," IREA Working Papers 200910, University of Barcelona, Research Institute of Applied Economics, revised May 2009.
  12. Francesca Arnaboldi & Peter Claeys, 2008. "Internet Banking in Europe: a comparative analysis," IREA Working Papers 200811, University of Barcelona, Research Institute of Applied Economics, revised Sep 2008.
  13. Marichal, Jean-Luc, 2004. "Tolerant or intolerant character of interacting criteria in aggregation by the Choquet integral," European Journal of Operational Research, Elsevier, vol. 155(3), pages 771-791, June.
  14. Ana María Osorio & Catalina Bolancé & Manuela Alcañiz, 2011. "Measuring early childhood health: a composite index comparing Colombian departments," IREA Working Papers 201122, University of Barcelona, Research Institute of Applied Economics, revised Oct 2011.
  15. Marichal, Jean-Luc, 2002. "Entropy of discrete Choquet capacities," European Journal of Operational Research, Elsevier, vol. 137(3), pages 612-624, March.
  16. Ebru Kerimoglu & Burhan Can Karahasan, 2011. "“Geography of talent and regional differences in Spain”," IREA Working Papers 201107, University of Barcelona, Research Institute of Applied Economics, revised Jun 2011.
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