A Note on Neutrosophic Soft Set over Hyperalgebras

This research aims to introduce and explore the theory of neutrosophic soft hyperalgebras $(NSHA$s), focusing on their core principles and potential applications in decision-making under uncertainty. By defining key operations such as intersection and union, we clarify the foundational characteristics of $NSHA$s and their relationship to soft hyperalgebras. The concepts of ${\xi }_{\beta }$-identity $NSHA$ and $\xi$-absolute $NSHA$ are also examined to better understand their properties. The practical relevance of $NSHA$ is demonstrated through applications in various fields, highlighting its adaptability in addressing complex decision-making scenarios. This approach offers a novel, more precise method for navigating uncertainty in areas such as project methodology selection, sensitivity analysis, and AI chatbot selection.