Almost Convergence of Complex Uncertain Triple Sequences

Abstract

In this paper, we present the concept of complex uncertain triple sequences and study almost convergence therein. Almost convergence with respect to all five aspects in uncertain space, viz., almost convergence in mean, measure, distribution, almost surely and uniformly almost surely, are initiated and interrelationships among them are established. We have also studied almost Cauchy triple sequence of complex uncertain variables and established some results. It is known that every convergent sequence is a Cauchy sequence but the converse is not true in general. But taking complex uncertain variables in triple sequences, we find that a complex uncertain triple sequence is an almost Cauchy sequence if and only if it is almost convergent.