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Some New Definitions of Indicators for the Choquet Integral

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Aggregation Functions in Theory and in Practise

Part of the book series: Advances in Intelligent Systems and Computing ((AISC,volume 228))

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Abstract

Aggregation operators are broadly used in decision making problems. These operators are often characterized by indicators. Numerous of these aggregation operators may be represented by means of the Choquet integral. In this article four different indicators usually associated to the ordered weighted averaging (OWA) operator are extended to the Choquet integral. In particular, we propose the extensions of the degree of balance, the divergence, the variance indicator and Rényi entropies. Indicators for the weighted ordered weighted averaging (WOWA) operator are derived to illustrate the application of results. Finally, an example is provided to show main contributions.

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Author information

Authors and Affiliations

  1. Department of Econometrics, Riskcenter - IREA., University of Barcelona., Av. Diagonal 690, 08034, Barcelona, Spain

    Jaume Belles-Sampera & Miguel Santolino

  2. Riskcenter - IREA., University of Barcelona, Av. Diagonal 690, 08034, Barcelona, Spain

    José M. Merigó

  3. Decision and Cognitive Science Research Centre, Manchester Business School, Booth Street West, M15 6PB, Manchester, United Kingdom

    José M. Merigó

Authors
  1. Jaume Belles-Sampera
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  2. José M. Merigó
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  3. Miguel Santolino
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Corresponding author

Correspondence to Jaume Belles-Sampera .

Editor information

Editors and Affiliations

  1. Department of Automatica y Computacion, Universidad Publica de Navarra, Pamplona, Spain

    Humberto Bustince

  2. Department of Automatica y Computacion, Universidad Publica de Navarra, Pamplona, Spain

    Javier Fernandez

  3. Department of Mathematics and, Slovak University of Technology, Bratislava, Slovakia

    Radko Mesiar

  4. Department of Computer Science, Universidad de Alcalá de Henares, Madrid, Spain

    Tomasa Calvo

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Belles-Sampera, J., Merigó, J.M., Santolino, M. (2013). Some New Definitions of Indicators for the Choquet Integral. In: Bustince, H., Fernandez, J., Mesiar, R., Calvo, T. (eds) Aggregation Functions in Theory and in Practise. Advances in Intelligent Systems and Computing, vol 228. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-39165-1_44

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  • DOI: https://doi.org/10.1007/978-3-642-39165-1_44

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-39164-4

  • Online ISBN: 978-3-642-39165-1

  • eBook Packages: EngineeringEngineering (R0)

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