Tauberian theorems for $$(\overline{N},p,q)$$ summable double sequences of fuzzy numbers

Abstract

In this paper, we define the weighted mean method $$(\overline{N},p,q)$$ 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 $$(\overline{N},p,q)$$ 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.