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Some abstract argumentation approaches consider that arguments have a degreeof uncertainty, which impacts on the degree of uncertainty of the extensionsobtained from a abstract argumentation framework (AAF) under a semantics. Inthese approaches, both the uncertainty of the arguments and of the extensionsare modeled by means of precise probability values. However, in many real lifesituations the exact probabilities values are unknown and sometimes there is aneed for aggregating the probability values of different sources. In thispaper, we tackle the problem of calculating the degree of uncertainty of theextensions considering that the probability values of the arguments areimprecise. We use credal sets to model the uncertainty values of arguments andfrom these credal sets, we calculate the lower and upper bounds of theextensions. We study some properties of the suggested approach and illustrateit with an scenario of decision making.

An Imprecise Probability Approach for Abstract Argumentation based on Credal Sets