Fuzzy logic models in a category of fuzzy relations

We investigate interpretations parallel to psi parallel to epsilon of formulas psi in a first order fuzzy logic in models epsilon which are based on objects of a category SetR(Omega) which consists of Omega-sets, i.e. sets with similarity relations with values in a complete MV-algebra Omega and with morphisms defined as special fuzzy relations between Omega-sets. The interpretations parallel to psi parallel to epsilon are then morphisms in a category SetR(Omega) from some Omega-set to the object (Omega, <->). We define homomorphisms between models in a category SetR(Omega) and we prove that if phi : epsilon(1) -> epsilon(2) is a (special) homomorphism of models in a category SetR(Omega) then there is a relation between interpretations parallel to psi parallel to epsilon(i) of a formula psi in models epsilon i.