Statistical convergence in measure for double sequences of fuzzy-valued functions

Abstract

The aim of this paper is to define two sorts of convergence in measure, that is, outer and inner statistical convergence, for double sequences of fuzzy-valued measurable functions and demonstrate that both kinds of convergence are equivalent in a finite measurable set. We also define the notion of statistical convergence in measure for double sequences of fuzzy-valued measurable functions and establish several interesting results. In addition, we prove the statistical version of Egorov’s theorem for double sequences of fuzzy-valued functions defined on a finite measure space.