In this paper, we introduce argumentative sound and complete semantics for the three main t- norm based fuzzy logics, Łukasiewicz (Ł), Goedel (G) and product logic (Π). We understand the arguments as complex entities and instantiate the link between the support and the claim of an argument with the three t-norm consequence relations corresponding to Ł, G and Π. The argumentative frameworks considered are bipolar frames. Thus, the arguments interact through two different relations: 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.