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    Derivative for Discrete Choquet Integrals

    Narukawa, Yasuo and Torra, Vicenç (2019) Derivative for Discrete Choquet Integrals. In: Modeling Decisions for Artificial Intelligence. Lecture Notes in Computer Science book series (LNCS) (11676). Springer, pp. 138-147. ISBN 9783030267728

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    In this paper we study necessary and sufficient conditions for the existence of the derivative for fuzzy measures when we are considering the Choquet integral. Results apply to discrete domains. The main result is based on the definition we introduce of compatible permutation for two pairs of measures (μ, ν). As an application of the main result, we present the conditions for possibility measures.

    Item Type: Book Section
    Additional Information: Cite as: Narukawa Y., Torra V. (2019) Derivative for Discrete Choquet Integrals. In: Torra V., Narukawa Y., Pasi G., Viviani M. (eds) Modeling Decisions for Artificial Intelligence. MDAI 2019. Lecture Notes in Computer Science, vol 11676. Springer, Cham.
    Keywords: Derivative; Discrete; Choquet; Integrals;
    Academic Unit: Faculty of Science and Engineering > Research Institutes > Hamilton Institute
    Item ID: 14378
    Identification Number:
    Depositing User: Vicenç Torra
    Date Deposited: 27 Apr 2021 13:52
    Publisher: Springer
    Refereed: Yes
    Use Licence: This item is available under a Creative Commons Attribution Non Commercial Share Alike Licence (CC BY-NC-SA). Details of this licence are available here

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