We present an attempt at extending the theory of "Algebraizable Logics" of Blok and Pigozzi, presented in their seminal "Memoirs monograph", to graded logics, i.e., logics whose truth values are drawn from a complete lattice (possibly with additional structure, if needed). We go as far as we can, but, since the setting is more general, the results we obtain are less impressive than those of Blok and Pigozzi.