Bipolar argumentative semantics for t-norm based fuzzy logics

In this paper, we introduce argumentative sound and complete semantics for the three main t- norm based fuzzy logics, L ukasiewicz (L), G ̈odel (G) and product logic (⇧). We understand the arguments as complex entities and instantiate the link between the support and the claim of an argu- ment with the three t-norm consequence relations corresponding to L, G and ⇧. The argumentative frameworks considered are bipolar frames. Thus, the arguments interact through two di↵erent re- lations: the attack and the support relation. By introducing argumentative principles defined over the two relations and using the notion of argumentative immunity, the semantics are recovered.