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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: | 10.1007/978-3-030-26773-5 |
| Depositing User: | Vicenç Torra |
| Date Deposited: | 27 Apr 2021 13:52 |
| Publisher: | Springer |
| Refereed: | Yes |
| Related URLs: | |
| URI: | https://mural.maynoothuniversity.ie/id/eprint/14378 |
| 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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