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