Characterization of conditional submodular capacities: Coherence and extension

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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 Advances in Intelligent Systems and Computing (Vol. 832, pp. 33–41). Springer Verlag. https://doi.org/10.1007/978-3-319-97547-4_5

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