TY - JOUR ID - 148521 TI - Possibility operators over n-valued Gödel logic JO - Journal of Algebraic Hyperstructures and Logical Algebras JA - JAHLA LA - en SN - 2676-6000 AU - Figallo-Orellano, A. AU - Slagter, J.S. AD - Departamento de Matematica, Universidad Nacional del Sur (UNS), Bahia Blanca, Argentina Y1 - 2022 PY - 2022 VL - 3 IS - 2 SP - 1 EP - 15 KW - n-valued Gödel logic KW - $Delta$ operator KW - Moisil operators KW - first-order logics DO - 10.52547/HATEF.JAHLA.3.2.1 N2 - 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. UR - https://jahla.hatef.ac.ir/article_148521.html L1 - https://jahla.hatef.ac.ir/article_148521_c9b1ad25ccdaf2f8533eaea572a15d08.pdf ER -