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Aggregation of Interacting Criteria by Means of the Discrete Choquet Integral

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Aggregation Operators

Part of the book series: Studies in Fuzziness and Soft Computing ((STUDFUZZ,volume 97))

Abstract

The most often used operator to aggregate criteria in decision making problems is the classical weighted arithmetic mean. In many problems however, the criteria considered interact, and a substitute to the weighted arithmetic mean has to be adopted. Under rather natural conditions, the discrete Choquet integral is proved to be an adequate aggregation operator that extends the weighted arithmetic mean by the taking into consideration of the interaction among criteria. The axiomatic that supports the Choquet integral is presented and some subfamilies are studied.

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Author information

Authors and Affiliations

  1. Department of Mathematics 348 TMCB, Brigham Young University, Provo, UT, 84602, USA

    Jean-Luc Marichal

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  1. Jean-Luc Marichal
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Editor information

Editors and Affiliations

  1. Department of Mathematics and Computer Science, University of the Balearic Islands, 07071, Palma de Mallorca, Spain

    Tomasa Calvo  & Gaspar Mayor  & 

  2. Department of Computer Science, University of Alcalá, 28871, Alcalá de Henares, Spain

    Tomasa Calvo

  3. Faculty of Civil Engineering, Slovak Technical University, Radlinského 11, 81368, Bratislava, Slovakia

    Radko Mesiar

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© 2002 Physica-Verlag Heidelberg

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Marichal, JL. (2002). Aggregation of Interacting Criteria by Means of the Discrete Choquet Integral. In: Calvo, T., Mayor, G., Mesiar, R. (eds) Aggregation Operators. Studies in Fuzziness and Soft Computing, vol 97. Physica, Heidelberg. https://doi.org/10.1007/978-3-7908-1787-4_7

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  • DOI: https://doi.org/10.1007/978-3-7908-1787-4_7

  • Publisher Name: Physica, Heidelberg

  • Print ISBN: 978-3-662-00319-0

  • Online ISBN: 978-3-7908-1787-4

  • eBook Packages: Springer Book Archive

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