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Characterization of k-Choquet Integrals

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Modeling Decisions for Artificial Intelligence (MDAI 2018)

Part of the book series: Lecture Notes in Computer Science ((LNAI,volume 11144))

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Abstract

In the present paper we characterize the class of all n-ary k-Choquet integrals and we find a minimal subset of points in the unit hypercube, the values on which fully determine the k-Choquet integral.

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References

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Acknowledgement

The authors gratefully acknowledge support of the project VEGA 1/0614/18.

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Authors and Affiliations

  1. Institute of Information Engineering, Automation and Mathematics, Faculty of Chemical and Food Technology, Slovak University of Technology in Bratislava, Radlinského 9, 812 37, Bratislava, Slovak Republic

    L’ubomíra Horanská & Zdenko Takáč

Authors
  1. L’ubomíra Horanská
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  2. Zdenko Takáč
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Corresponding author

Correspondence to Zdenko Takáč .

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Editors and Affiliations

  1. Maynooth University, Maynooth, Ireland

    Vicenç Torra

  2. Department Management Science, Tamagawa University, Tokyo, Japan

    Yasuo Narukawa

  3. University of the Balearic Islands, Palma de Mallorca, Spain

    Isabel Aguiló

  4. University of the Balearic Islands, Palma de Mallorca, Baleares, Spain

    Manuel González-Hidalgo

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Horanská, L., Takáč, Z. (2018). Characterization of k-Choquet Integrals. In: Torra, V., Narukawa, Y., Aguiló, I., González-Hidalgo, M. (eds) Modeling Decisions for Artificial Intelligence. MDAI 2018. Lecture Notes in Computer Science(), vol 11144. Springer, Cham. https://doi.org/10.1007/978-3-030-00202-2_6

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  • DOI: https://doi.org/10.1007/978-3-030-00202-2_6

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-030-00201-5

  • Online ISBN: 978-3-030-00202-2

  • eBook Packages: Computer ScienceComputer Science (R0)

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