Mixed SuperHyperStructure and Some Open Problems

Abstract

Hyperstructures extend classical algebraic systems by allowing operations to return sets of possible results rather than single outputs. Iterating this idea across multiple layers of collections gives rise to superhyperstructures, which provide a natural framework for describing hierarchical and multilevel interactions. This work introduces two mixed higherorder frameworks: Mixed HyperStructures and Mixed SuperHyperStructures. In addition, I have included several open problems at the end of this paper.