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Aggregation Operators and Quadric Hypersurfaces

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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 that are quadric hypersurfaces are studied. The interest lays in the fact that the most popular aggregation operators are indeed quadric hypersurfaces.

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References

  1. Alsina, C., Sklar, A.: A characterization of continuous associative operations whose graphs are ruled surfaces. Aequationes Mathematicae 33, 114–119 (1987)

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  2. Beliakov, G., Pradera, A., Calvo, T.: Aggregation Functions: A Guide for Practitioners. STUDFUZZ, vol. 221. Springer, Heidelberg (2008)

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  3. Calvo, T., Kolesárova, A., Komorníková, M., Mesiar, R.: Aggregation Operators: Properties, Classes and Construction Methods. In: Calvo, T., Mayor, G., Mesiar, R. (eds.) Aggregation Operators: New Trends and Applications. STUDFUZZ, vol. 97, pp. 3–104. Springer, Heidelberg (2002)

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  4. Recasens, J.: Aggregation Operators and Ruled Surfaces. In: Alsinet, T., Puyol-Gruart, J., Torras, C. (eds.) Artificial Intelligence Research and Development, pp. 206–214. IOS Press, Amsterdam (2008)

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Author information

Authors and Affiliations

  1. Sec Matemàtiques i Informàtica, ETS Arquitectura del Vallès, Universitat Politècnica de Catalunya, C. Pere Serra 1-15, 08190, Sant Cugat del Vallès, Spain

    J. Recasens

Authors
  1. J. Recasens
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Corresponding author

Correspondence to J. Recasens .

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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Recasens, J. (2013). Aggregation Operators and Quadric Hypersurfaces. 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_33

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  • DOI: https://doi.org/10.1007/978-3-642-39165-1_33

  • 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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