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Dubois, Guillaume and Rico

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Eliciting hybrid probability-possibility functions and their decision evaluation models

We focus on a decision tree model under uncertainty using so-called hybrid probability-possibility functions. They allow to handle behaviours lying between possibilistic decision making and probabilistic decision making while keeping the good properties of both approaches namely Dynamic Consistency, Consequentialism and Tree Reduction. We shed light on the various utility functionals in this setting. More precisely, in this paper, we investigate the question of parameterizing the compromise between possibilistic and probabilisic models in different contexts. To this end, we outline elicitation methods.