aspg-34-3863-1791485083 20261008184443 American Scientific Publishing Group admin@americaspg.com American Scientific Publishing Group Prospects for Applied Mathematics and Data Analysis PAMDA 2836-4449 2024 4 1 Takaaki Fujita Independent Researcher, Shinjuku, Shinjuku-ku, Tokyo, Japan 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 18 22 3863 https://creativecommons.org/licenses/by/4.0/ 10.54216/PAMDA.040103 https://www.americaspg.com/journal/34/article/3863 https://www.americaspg.com/storage/articles/manuscripts/01M1PM3JQCDZDX7JX54E2FSZAV.pdf