Possibilistic semantics for a modal KD45 extension of G"odel fuzzy logic

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,π rangle, where W is a non-empty set of worlds and π: W longrightarrow [0, 1] is a normalized possibility distribution on W.