Applications of α-level neutrosophic set and strong α-level neutrosophic set

In this article, we present an innovative extension of the concept of α-level neutrosophic set (NS). Building upon the pioneering work of Johnson Awolola [14] in 2020, who initially defined α-level NS, our research introduces a new notion of α-level NS, aimed at enhancing the precision and practicality of outcomes. Within this context, we establish both the concept of an α-level NS and a robust variant termed the strong α-level NS. These novel concepts are then applied to the domain of neutrosophic graphs (NG), enabling the exploration of diverse properties and their implications.