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Almost Convergence of Complex Uncertain Triple Sequences

机译:复杂不确定三重序列的近收敛性

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摘要

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.
机译:在本文中,我们提出了复不确定三重序列的概念,并研究了其中的近收敛性。在不确定的空间中,所有五个方面几乎趋同,即均值、度量、分布的几乎趋同,几乎可以肯定地、几乎肯定地均匀地开始,并建立了它们之间的相互关系。我们还研究了复杂不确定变量的柯西三重序列,并建立了一些结果。众所周知,每个收敛序列都是一个柯西序列,但反之则不然。但是在三重序列中采用复杂的不确定变量,我们发现复不确定的三重序列是一个几乎柯西序列,当且仅当它几乎是收敛的。

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