Prospects for Applied Mathematics and Data Analysis PAMDA 2836-4449 10.54216/PAMDA https://www.americaspg.com/journals/show/3863 2022 2022 Independent Researcher, Shinjuku, Shinjuku-ku, Tokyo, Japan Takaaki Takaaki Rough sets provide a mathematical framework for approximating subsets using lower and upper bounds determined by equivalence relations, effectively modeling uncertainty in classification and data analysis. These foundational concepts have been further extended to structures such as Hyperrough Sets and Superhyperrough Sets. In this paper, we introduce the definitions of Hyperrough Cubic Sets and Superhyperrough Cubic Sets, and explore their fundamental properties. We hope that these developments will promote further research into applications such as decision-making based on Rough Set Theory and its extensions. 2024 2024 28 35 10.54216/PAMDA.040103 https://www.americaspg.com/articleinfo/34/show/3863