Tauberian theorems for (N¯ , p, q) summable double sequences of fuzzy numbers

In this paper, we define the weighted mean method (N¯ , p, q) of double sequences of fuzzy numbers and give necessary and sufficient Tauberian conditions under which convergence in Pringsheim’s sense of a double sequence of fuzzy numbers follows from its (N¯ , p, q) summability. These conditions are weaker than the weighted analogues of Landau’s conditions and Schmidt’s slow oscillation condition in some senses for two-dimensional case. © 2019, Springer-Verlag GmbH Germany, part of Springer Nature.