Possibility operators over n-valued Gödel logic

In the area of fuzzy logic, expansions these logics by $\Delta$ operator have been intensively studied; interest is due to fact that it presents a behavior, associated systems were studied in propositional and first-order level. On other hand, possibility operators define Łukasiewicz-Moisil algebras over different classes algebras; are known as Moisil's literature. One coincides with $\Delta$, showing there behavior. this paper, we present study an extension logic; namely, n-valued Gödel thus opening explore more operators.