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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Abstract

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. https://doi.org/10.1007/978-3-030-26773-5_13
Keywords:	Derivative; Discrete; Choquet; Integrals;
Academic Unit:	Faculty of Science and Engineering > Research Institutes > Hamilton Institute
Item ID:	14378
Identification Number:	https://doi.org/10.1007/978-3-030-26773-5
Depositing User:	Vicenç Torra
Date Deposited:	27 Apr 2021 13:52
Publisher:	Springer
Refereed:	Yes
URI:	Publisher
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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