%0 Journal Article %T Possibility operators over n-valued Gödel logic %J Journal of Algebraic Hyperstructures and Logical Algebras %I University of Hatef (Hatef College University) %Z 2676-6000 %A Figallo-Orellano, A. %A Slagter, J.S. %D 2022 %\ 05/01/2022 %V 3 %N 2 %P 1-15 %! Possibility operators over n-valued Gödel logic %K n-valued Gödel logic %K $Delta$ operator %K Moisil operators %K first-order logics %R 10.52547/HATEF.JAHLA.3.2.1 %X In the area of fuzzy logic, expansions of these logics by $\Delta$ operator have been intensively studied; the interest of $\Delta$ operator is due to the fact that it presents a fuzzy behavior, the associated systems were studied in propositional and first-order level.  On the other hand, the possibility operators that define Łukasiewicz-Moisil algebras have been studied over different classes of algebras; these operators are known as Moisil's operators in the literature. One of these operators coincides with $\Delta$, showing there are other operators with fuzzy behavior.   In this paper, we present the study of Moisil's operators over an extension of a fuzzy logic; namely, n-valued Gödel logic, thus opening the possibility to explore more fuzzy operators. %U https://jahla.hatef.ac.ir/article_148521_c9b1ad25ccdaf2f8533eaea572a15d08.pdf