Hyperstructures and their hierarchical extensions—SuperHyperStructures—offer a flexible framework for representing multi-layered and intricate systems 1,2. This paper explores several extended variants of the classical SuperHyperStructure, including Rough, Soft, Fuzzy, and Functorial SuperHyper-Structures. Some of these investigations revisit earlier concepts, while others broaden the theoretical scope. The overall aim is not only to provide new insights but also to promote the study and dissemination of SuperHyperStructures and their related families within the broader mathematical community.
T. Fujita (Fri,) studied this question.