%0 Journal Article
%T Possibility operators over n-valued Gödel logic
%J Journal of Algebraic Hyperstructures and Logical Algebras
%I 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 http://jahla.hatef.ac.ir/article_148521_c9b1ad25ccdaf2f8533eaea572a15d08.pdf