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.
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CITATION STYLE
Narukawa, Y., & Torra, V. (2019). Derivative for Discrete Choquet Integrals. In Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) (Vol. 11676 LNAI, pp. 138–147). Springer Verlag. https://doi.org/10.1007/978-3-030-26773-5_13
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