Some observations on ℐ-statistically pre-Cauchy sequences of complex uncertain variables defined by Orlicz functions

In this research article, we introduce <m:math xmlns:m="http://www.w3.org/1998/Math/MathML"> <m:mi mathvariant="script">ℐ</m:mi> </m:math> {I} -statistically pre-Cauchy sequences of complex uncertain variables in five different aspects of uncertainty, namely: in mean, in measure, in distribution, in almost sure, and in uniformly almost sure. We also explore the connection between <m:math xmlns:m="http://www.w3.org/1998/Math/MathML"> <m:mi mathvariant="script">ℐ</m:mi> </m:math> {I} -statistically pre-Cauchy sequences and <m:math xmlns:m="http://www.w3.org/1998/Math/MathML"> <m:mi mathvariant="script">ℐ</m:mi> </m:math> {I} -statistically convergent sequences using complex uncertain variables. Additionally, we initiate the study of <m:math xmlns:m="http://www.w3.org/1998/Math/MathML"> <m:mi mathvariant="script">ℐ</m:mi> </m:math> {I} -statistically pre-Cauchy sequences of complex uncertain variables through Orlicz functions.