@article { author = {Figallo-Orellano, A. and Slagter, J.S.}, title = {Possibility operators over n-valued Gödel logic}, journal = {Journal of Algebraic Hyperstructures and Logical Algebras}, volume = {3}, number = {2}, pages = {1-15}, year = {2022}, publisher = {University of Hatef (Hatef College University)}, issn = {2676-6000}, eissn = {2676-6019}, doi = {10.52547/HATEF.JAHLA.3.2.1}, abstract = {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.}, keywords = {n-valued Gödel logic,$Delta$ operator,Moisil operators,first-order logics}, url = {https://jahla.hatef.ac.ir/article_148521.html}, eprint = {https://jahla.hatef.ac.ir/article_148521_c9b1ad25ccdaf2f8533eaea572a15d08.pdf} }