Generalized Statistical Convergence for Uncertain Double Sequences of Fuzzy Numbers Defined by an Orlicz Function

Abstract

In this study we propose the notion of I₂-statistical convergence for uncertain double sequences of fuzzy numbers defined by an Orlicz function. We investigate several associated convergence types such as convergence in measure, convergence in mean, convergence in distribution and uniformly almost sure convergence. Furthermore we present illustrative examples to clarify the connections and differences among these distinct convergence forms.