Iranian Mathematical Society Journal of the Iranian Mathematical Society 2717-1612 5 2 2024 03 01 Some results on rough $\mathcal{I}_{2}$-lacunary statistical convergence of‎ ‎complex uncertain sequences 171 189 201682 10.30504/jims.2024.457746.1179 EN O. Kişi Department of Mathematics, Faculty of Science, Bartın University, Bartın, Turkey. M. Gürdal Department of Mathematics, Suleyman Demirel University, 32260, Isparta, Turkey. R. Akbıyık Department of Mathematics, Bartin University, Bartın, Turkey. Journal Article 2024 05 15 This paper introduces rough I₂-lacunary statistical convergence for complex uncertain double sequences (CUDS), extending concepts of rough convergence, rough lacunary statistical convergence, and rough I₂-convergence. We explore this notion across four aspects of uncertainty: almost surely, measure, mean, and distribution. Additionally, we investigate rough I₂-lacunary statistical convergence in p-distance and metric spaces for CUDS. The study illustrates the interconnectedness of these convergence concepts and offers observations on their relationships. Complex uncertain sequence rough convergence lacunary statistical convergence ideal convergence https://jims.ims.ir/article_201682_60e81ff184ab933b44129db9f90a1f51.pdf