Expanding Horizons of Plithogenic SuperHyperStructures: Applications in Decision-Making, Control, and Neuro Systems

This study explores advanced frameworks for modeling uncertainty and complexity, including fuzzy sets, neutrosophic sets, and plithogenic sets. Plithogenic sets, which generalize fuzzy and neutrosophic sets by incorporating multi-attribute and contradictory properties, provide a flexible tool for representing complex systems. To formalize these ideas, we utilize hyperstructures and superhyperstructures, enabling hierarchical and multi-layered relationships. Applications in decision-making and control systems are examined, with a focus on superhyperdecision-making and extending neuro-fuzzy systems to plithogenic systems within superhyperstructure frameworks. Finally, we propose future research directions, such as applying plithogenic sets to lattice theory and blockchain technology, along with integrating superhyperstructures to enhance these fields.