Indicators for the characterization of discrete Choquet integrals

Jaume Belles-Sampera (), Montserrat Guillen, José M. Merigó and Miguel Santolino ()
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Jaume Belles-Sampera: Faculty of Economics, University of Barcelona
Miguel Santolino: Faculty of Economics, University of Barcelona

No 201311, IREA Working Papers from University of Barcelona, Research Institute of Applied Economics

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.

Keywords: Orness; Divergence; Entropy; Choquet integral; OWA; POWA. JEL classification: (search for similar items in EconPapers)
Pages: 33 pages
Date: 2013-05, Revised 2013-05
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Persistent link: https://EconPapers.repec.org/RePEc:ira:wpaper:201311

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