n-MONOTONE EXACT FUNCTIONALS

By Gert De Cooman, M. Troffaes, Enrique Miranda. 2008

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We study n-monotone functionals, which constitute a generalisation of n-monotone set functions. We investigate their relation to the concepts of exactness and natural extension, which generalise coherence and natural extension in the behavioural theory of imprecise probabilities. We improve upon a number of results in the literature, and prove among other things a representation result for exact n-monotone functionals in terms of Choquet integrals.

Subfields: Artificial Intelligence, Computational Theory and Mathematics, Management Science and Operations Research

View Paper: https://www.semanticscholar.org/paper/9f2240e89ecee18724ef7181a9a93fbc8e15c2de