 Algebraic semantics is a universal tool for propositional logics. In particular, for any arbitrary fuzzy logic studied in the literature (even those not supporting a t-norm based semantics such as finite-valued fuzzy logics or the logic of non-commutative uninorms) one can find a corresponding class of algebras which can be decomposed as subdirect products of chains. This fact has led Libor Běhounek and Petr Cintula (2006) to propose a definition of fuzzy logics as logics that are complete with respect to totally ordered algebraic structures.