Abstract
Dung's argumentation is based on a Boolean binary defeat relation. Recently, this framework has been extended in order to consider the strength of the defeat relation, i.e., to quantify the degree to which an argument defeats another one. In the extended framework, the defeat relation with varied strength is abstract, i.e., its origin is not known. In this paper, we instantiate argumentation framework with varied-strength defeats by a preference-based argumentation framework with a certainty degree in the preference relation. A potential example of such valued preference relation is when a weight can be assigned to each argument. In this case, we give conditions on the construction of the valued preference relation from the weight. Moreover, we show that the set of conditions in which a defense holds with a valued preference relation is strictly included in the set of conditions in which a defense holds with a Boolean preference relation.
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