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Fuzzy Integral as a Flexible and Interpretable Tool of Aggregation

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Aggregation and Fusion of Imperfect Information

Part of the book series: Studies in Fuzziness and Soft Computing ((STUDFUZZ,volume 12))

Abstract

The fuzzy integral with respect to a fuzzy measure has been used in many applications of multicriteria evaluation. We present here its properties for aggregation and its situation among common aggregation operators. The concept of Shapley value and interaction index, which are well rooted in a theory of representation of fuzzy measures, can afford a semantical analysis of the aggregation operation, and facilitate the use of fuzzy integral in practical problems.

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Author information

Authors and Affiliations

  1. Central Research Laboratory, Thomson-CSF, Domaine de Corbeville, 91404, Orsay Cedex, France

    Michel Grabisch

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  1. Michel Grabisch
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Editors and Affiliations

  1. Centre National de la Recherche Scientifique, LIP6 — Laboratoire d’Informatique de Paris 6, Université Pierre et Marie Curie, 4, Place Jussieu, Case 169, F-75252, Paris Cedex 05, France

    Bernadette Bouchon-Meunier

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© 1998 Springer-Verlag Berlin Heidelberg

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Grabisch, M. (1998). Fuzzy Integral as a Flexible and Interpretable Tool of Aggregation. In: Bouchon-Meunier, B. (eds) Aggregation and Fusion of Imperfect Information. Studies in Fuzziness and Soft Computing, vol 12. Physica, Heidelberg. https://doi.org/10.1007/978-3-7908-1889-5_4

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  • DOI: https://doi.org/10.1007/978-3-7908-1889-5_4

  • Publisher Name: Physica, Heidelberg

  • Print ISBN: 978-3-662-11073-7

  • Online ISBN: 978-3-7908-1889-5

  • eBook Packages: Springer Book Archive

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