HyperRough Cubic Set and SuperhyperRough Cubic Set

Takaaki Fujita 1,∗

1Independent Researcher, Shinjuku, Shinjuku-ku, Tokyo, Japan

Email: takaaki.fujita060@gmail.com

Abstract

Rough sets provide a mathematical framework for approximating subsets using lower and upper bounds de-

termined 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.

Keywords: Rough set; Hyperrough Set; Rough Cubic Set; SuperHyperRough Set