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We propose a nonmonotonic Description Logic of typicality able to account forthe phenomenon of concept combination of prototypical concepts. The proposedlogic relies on the logic of typicality ALC TR, whose semantics is based on thenotion of rational closure, as well as on the distributed semantics ofprobabilistic Description Logics, and is equipped with a cognitive heuristicused by humans for concept composition. We first extend the logic of typicalityALC TR by typicality inclusions whose intuitive meaning is that "there isprobability p about the fact that typical Cs are Ds". As in the distributedsemantics, we define different scenarios containing only some typicalityinclusions, each one having a suitable probability. We then focus on thosescenarios whose probabilities belong to a given and fixed range, and we exploitsuch scenarios in order to ascribe typical properties to a concept C obtainedas the combination of two prototypical concepts. We also show that reasoning inthe proposed Description Logic is EXPTIME-complete as for the underlying ALC.

A Description Logic Framework for Commonsense Conceptual Combination Integrating Typicality, Probabilities and Cognitive Heuristics