  We generalize Fitting's work on Intuitionistic Kripke models of Set Theory
using Ono and Komori's Residuated Kripke models. Based on these models, we
provide a generalization of the von Neumann hierarchy in the context of Modal
Residuated Logic and prove a translation of formulas between it and a suited
Heyting valued model. We also propose a notion of universe of constructible
sets in Modal Residuated Logic and discuss some aspects of it.
