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Title: Indicators for the characterization of discrete Choquet integrals
Author: Belles Sampera, Jaume
Guillén, Montserrat
Merigó Lindahl, José M.
Santolino, Miguel
Keywords: Presa de decisions (Estadística)
Teoria d'operadors
Direcció d'empreses
Lògica matemàtica
Statistical decision
Operator theory
Industrial management
Mathematical logic
Issue Date: 2013
Publisher: Universitat de Barcelona. Institut de Recerca en Economia Aplicada Regional i Pública
Series/Report no: [WP E-IR13/11]
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 specific context.
Note: Reproducció del document publicat a:
It is part of: IREA – Working Papers, 2013, IR13/11
ISSN: 2014-1254
Appears in Collections:Documents de treball (Institut de Recerca en Economia Aplicada Regional i Pública (IREA))

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