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“Indicators for the characterization of discrete Choquet integrals”

  • 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)

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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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
Contact details of provider: Postal: Tinent Coronel Valenzuela, Num 1-11 08034 Barcelona
Web page: http://www.ub.edu/irea/

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  1. Vicente Royuela & Miguel Vargas, 2007. "Defining housing market areas using commuting and migration algorithms.Catalonia (Spain) as an applied case study," IREA Working Papers 200707, University of Barcelona, Research Institute of Applied Economics, revised Apr 2007.
  2. Enrique López-Bazo & Burhan Can Karahasan, 2011. "The Spatial Distribution of Human Capital: Can It Really Be Explained by Regional Differences in Market Access?," IREA Working Papers 201102, University of Barcelona, Research Institute of Applied Economics, revised Feb 2011.
  3. 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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  9. António Afonso & Peter Claeys & Ricardo M. Sousa, 2009. "Fiscal Regime Shifts in Portugal," IREA Working Papers 200921, University of Barcelona, Research Institute of Applied Economics, revised Oct 2009.
  10. Vicente Royuela & Manuel Sanchis, 2010. "La reforma de la contratación en el mercado de trabajo: entre la flexibilidad y la seguridad," IREA Working Papers 201006, University of Barcelona, Research Institute of Applied Economics, revised Mar 2010.
  11. Alessia Matano & Paolo Naticchioni, 2012. "What Drives the Urban Wage Premium? Evidence along the Wage Distribution," AQR Working Papers 201202, University of Barcelona, Regional Quantitative Analysis Group, revised Feb 2012.
  12. 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.
  13. Syed A. Basher & Josep Lluís Carrion-i-Silvestre, 2007. "Another Look at the Null of Stationary RealExchange Rates. Panel Data with Structural Breaks and Cross-section Dependence," IREA Working Papers 200710, University of Barcelona, Research Institute of Applied Economics, revised May 2007.
  14. 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.
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  16. Fageda, Xavier & Rubio-Campillo, Rafael & Termes-Rifé, Montserrat, 2014. "Determinants of broadband access: Is platform competition always the key variable to success?," Information Economics and Policy, Elsevier, vol. 26(C), pages 58-67.
  17. 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.
  18. Sandra Nieto Viramontes & Raul Ramos Lobo, 2011. "¿La sobreeducación de los padres afecta al rendimiento académico de sus hijos?," Investigaciones de Economía de la Educación volume 6, in: Antonio Caparrós Ruiz (ed.), Investigaciones de Economía de la Educación 6, edition 1, volume 6, chapter 11, pages 185-206 Asociación de Economía de la Educación.
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  20. Belles-Sampera, Jaume & Merigó, José M. & Guillén, Montserrat & Santolino, Miguel, 2013. "The connection between distortion risk measures and ordered weighted averaging operators," Insurance: Mathematics and Economics, Elsevier, vol. 52(2), pages 411-420.
  21. 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.
  22. Calzada, Joan & Martínez-Santos, Fernando, 2014. "Broadband prices in the European Union: Competition and commercial strategies," Information Economics and Policy, Elsevier, vol. 27(C), pages 24-38.
  23. 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.
  24. Marichal, Jean-Luc, 2002. "Entropy of discrete Choquet capacities," European Journal of Operational Research, Elsevier, vol. 137(3), pages 612-624, March.
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