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Norm Aggregations and OWA Operators

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Book cover Aggregation Functions in Theory and in Practise

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

Abstract

The ordered weighted average (OWA) is an aggregation operator that provides a parameterized family of aggregation operators between the minimum and the maximum. This paper studies the use of the OWA operator with norms. Several extensions and generalizations are suggested including the use of the induced OWA operator and the OWA weighted average. This approach represents a general framework of the aggregation operators when dealing with distance and similarity measures. Some key particular cases are studied including the addition OWA and the subtraction OWA operator.

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Author information

Authors and Affiliations

  1. Manchester Business School, University of Manchester, Booth Street West, M15 6PB, Manchester, UK

    José M. Merigó

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

    Ronald R. Yager

Authors
  1. José M. Merigó
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  2. Ronald R. Yager
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Corresponding author

Correspondence to José M. Merigó .

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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© 2013 Springer-Verlag Berlin Heidelberg

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Merigó, J.M., Yager, R.R. (2013). Norm Aggregations and OWA Operators. 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_17

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  • DOI: https://doi.org/10.1007/978-3-642-39165-1_17

  • 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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