  We investigate a problem in which each member of a group of learners is
trained separately to solve the same classification task. Each learner has
access to a training dataset (possibly with overlap across learners) but each
trained classifier can be evaluated on a validation dataset. We propose a new
approach to aggregate the learner predictions in the possibility theory
framework. For each classifier prediction, we build a possibility distribution
assessing how likely the classifier prediction is correct using frequentist
probabilities estimated on the validation set. The possibility distributions
are aggregated using an adaptive t-norm that can accommodate dependency and
poor accuracy of the classifier predictions. We prove that the proposed
approach possesses a number of desirable classifier combination robustness
properties.
