On λ-statistical convergence of order α for complex uncertain sequences

Abstract

Complex uncertain variables are measurable functions from an uncertainty space to the set of complex numbers and are used to model complex uncertain quantities. This paper introduces the convergence concepts of λ-statistical convergence almost surely of order α, λ-statistical convergence in measure of order α, λ-statistical convergence in mean of order α, λ-statistical convergence in distribution of order α in complex uncertain theory. Also establish some relationships among them. The results established generalize and unify different existing notions of the concepts of convergence of sequences of complex uncertain variables.