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Discrete Sugeno Integrals and Their Applications

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Scalable Uncertainty Management (SUM 2018)

Part of the book series: Lecture Notes in Computer Science ((LNAI,volume 11142))

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Abstract

This paper is an overview of the discrete Sugeno integrals and their applications when the evaluation scale is a totally ordered set. The various expressions of the Sugeno integrals are presented. Some major characterisation results are recalled: results based on characteristic properties and act-based axiomatisation. We discuss the properties of a preference relation modelling by a Sugeno integral. We also present its power expression to represent a dataset and its interpretation with a set of if-then rules.

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Acknowledgements

Dear Didier thank you very much for your comments.

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Authors and Affiliations

  1. ERIC, Université Claude Bernard Lyon 1, 43 bld du 11 novembre, 69100, Villeurbanne, France

    Agnès Rico

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  1. Agnès Rico
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Correspondence to Agnès Rico .

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Editors and Affiliations

  1. University of Milano-Bicocca, Milan, Italy

    Davide Ciucci

  2. University of Milano-Bicocca, Milan, Italy

    Gabriella Pasi

  3. Sapienza University of Rome, Rome, Italy

    Barbara Vantaggi

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Rico, A. (2018). Discrete Sugeno Integrals and Their Applications. In: Ciucci, D., Pasi, G., Vantaggi, B. (eds) Scalable Uncertainty Management. SUM 2018. Lecture Notes in Computer Science(), vol 11142. Springer, Cham. https://doi.org/10.1007/978-3-030-00461-3_2

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  • DOI: https://doi.org/10.1007/978-3-030-00461-3_2

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-030-00460-6

  • Online ISBN: 978-3-030-00461-3

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