August 19, 2025Open Access

A Note on the Use of Plithogenic and Hyperplithogenic Sets for Weather Prediction

Key Points

Plithogenic, Hyperplithogenic, and SuperHyperPlithogenic Sets enhance weather prediction methodologies through richer uncertainty modeling.
Analysis reveals the applicability of these advanced sets, potentially improving accuracy over traditional methods.
Employing a structured approach with these sets allows for more nuanced weather forecasting compared to Fuzzy and Neutrosophic methods.
The research highlights the promise of extending existing models into the Plithogenic hierarchy, encouraging innovative predictive techniques.

Abstract

Many well-known formalisms for handling uncertainty such as Fuzzy Sets, Intuitionistic Fuzzy Sets, Neutrosophic Sets, and Plithogenic Sets have been widely investigated and employed in diverse application areas. Building on Plithogenic Sets, two higher-order extensions have been proposed: the HyperPlithogenic Set, which generalises the original Plithogenic structure, and the SuperHyperPlithogenic Set, which in turn subsumes both Plithogenic and HyperPlithogenic Sets. This paper demonstrates how these three families—Plithogenic, HyperPlithogenic, and SuperHyper Plithogenic Sets can be employed for weather forecasting. Because meteorological prediction has already been modelled within Fuzzy and Neutrosophic frameworks, extending the analysis to the richer Plithogenic hierarchy constitutes a natural and promising next step.

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