On $\mathcal{i}_{2}$ and $\mathcal{i}_{2}^{\ast}$-convergence in almost surely of complex uncertain double sequences

In this study, we investigate the notions of $\mathcal{I}_{2}$-convergence almost surely (a.s.) and $\mathcal{I}_{2}^{\ast }$-convergence a.s. of complex uncertain double sequences in an uncertainty space, and obtain some of their features and identify the relationships between them. In addition, we put forward the concepts of $\mathcal{I}_{2}$ and $\mathcal{I} _{2}^{\ast }$-Cauchy sequence a.s. of complex uncertain double sequences and investigate their relationships.