Abstract
We provide a representation in terms of a linearly ordered class of (unconditional) submodular capacities of an axiomatically defined conditional submodular capacity. This allows to provide a notion of coherence for a partial assessment and a related notion of coherent extension.
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Coletti, G., Petturiti, D., Vantaggi, B. (2019). Characterization of Conditional Submodular Capacities: Coherence and Extension. In: Destercke, S., Denoeux, T., Gil, M., Grzegorzewski, P., Hryniewicz, O. (eds) Uncertainty Modelling in Data Science. SMPS 2018. Advances in Intelligent Systems and Computing, vol 832. Springer, Cham. https://doi.org/10.1007/978-3-319-97547-4_5
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