Tauberian theorems for statistically convergent double sequences of fuzzy numbers

In this paper, we introduce slow oscillation and Hardy's two-sided Tauberian conditions for double sequences in n-dimensional fuzzy number space En. Besides, slow decrease and Landau's one-sided Tauberian conditions for double sequences in E1 are presented. Under these conditions we also prove Tauberian theorems for statistically convergent double sequences of fuzzy numbers. © 2017 IOS Press and the authors. All rights reserved

JOURNAL OF INTELLIGENT & FUZZY SYSTEMS

In this paper, we introduce slow oscillation and Hardy's two-sided Tauberian conditions for double sequences in n-dimensional fuzzy number space En. Besides, slow decrease and Landau's one-sided Tauberian conditions for double sequences in E-1 are presented. Under these conditions we also prove Tauberian theorems for statistically convergent double sequences of fuzzy numbers