  Justification logics are special kinds of modal logics which provide a
framework for reasoning about epistemic justifications. For this, they extend
classical boolean propositional logic by a family of necessity-style modal
operators "t:", indexed over t by a corresponding set of justification terms,
which thus explicitly encode the justification for the necessity assertion in
the syntax. With these operators, one can therefore not only reason about modal
effects on propositions but also about dynamics inside the justifications
themselves. We replace this classical boolean base with G\"odel logic, one of
the three most prominent fuzzy logics, i.e. special instances of many-valued
logics, taking values in the unit interval [0,1], which are intended to model
inference under vagueness. We extend the canonical possible-world semantics for
justification logic to this fuzzy realm by considering fuzzy accessibility- and
evaluation-functions evaluated over the minimum t-norm and establish strong
completeness theorems for various fuzzy analogies of prominent extensions for
basic justification logic.
