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OWA Operators and Nonadditive Integrals

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Recent Developments in the Ordered Weighted Averaging Operators: Theory and Practice

Part of the book series: Studies in Fuzziness and Soft Computing ((STUDFUZZ,volume 265))

Abstract

We give a survey on the relations between nonadditive integrals (Choquet integral, Sugeno integral) and the OWA operator and its variants. We give also some behavioral indices for the OWA operator, as orness, veto and favor indices, etc. Finally, we propose the use of p-symmetric capacities for a natural generalization of the OWA operator.

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Author information

Authors and Affiliations

  1. Centre d’Economie de la Sorbonne, Université Paris I, 106-112, Bd de l’Hôpital, 75013, Paris, France

    Michel Grabisch

Authors
  1. Michel Grabisch
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Editor information

Editors and Affiliations

  1. Machine Intelligence Institute , Iona College, 10801, New Rochelle, NY, USA

    Ronald R. Yager

  2. Systems Research Institute , Polish Academy of Sciences, Ul. Newelska 6, 01-447, Warsaw, Poland

    Janusz Kacprzyk

  3. School of Information Technology , Deakin University, 221 Burwood Highway, 3125, Burwood, Victoria, Australia

    Gleb Beliakov

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Grabisch, M. (2011). OWA Operators and Nonadditive Integrals. In: Yager, R.R., Kacprzyk, J., Beliakov, G. (eds) Recent Developments in the Ordered Weighted Averaging Operators: Theory and Practice. Studies in Fuzziness and Soft Computing, vol 265. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-17910-5_1

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  • DOI: https://doi.org/10.1007/978-3-642-17910-5_1

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-17909-9

  • Online ISBN: 978-3-642-17910-5

  • eBook Packages: EngineeringEngineering (R0)

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