  In this paper we provide a simplified semantics for the logic KD45(G), i.e.
the many-valued G\"odel counterpart of the classical modal logic KD45. More
precisely, we characterize KD45(G) as the set of valid formulae of the class of
possibilistic G\"odel Kripke Frames $\langle W,\pi \rangle$, where $W$ is a
non-empty set of worlds and $\pi: W \longrightarrow [0, 1]$ is a normalized
possibility distribution on $W$.
