Work

Applications of $$\alpha$$-level neutrosophic set and strong $$\alpha$$-level neutrosophic set

Year: 2025

Type: article

Abstract: In this article, we present an innovative extension of the concept of $$\alpha$$ α -level neutrosophic set (NS). Building upon the pioneering work of Johnson Awolola [14] in 2020, who initially defined $$\alpha$$ α -level NS, our research introduces a new notion of $$\alpha$$ α -level NS, aimed at enhancing the precision and practicality of outcomes. Within this context, we establish both the concept of an $$\alpha$$ α -level NS and a robust variant termed the strong $$\alpha$$ 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.

Source: Discover Applied Sciences

DOI: 10.1007/s42452-025-06803-x

Authors: Rakhal Das, Suman Das, Prasanna Poojary

Institutions: ICFAI University, Tripura, National Institute of Technology Agartala, Manipal Academy of Higher Education

Language: English

Topic: Fuzzy and Soft Set Theory

Subfield: Management Science and Operations Research

Field: Decision Sciences

Domain: Social Sciences

Open Access status: diamond

OpenAlex ID: W4410780503

FWCI: 1.638

Cites: 15

Cited by: 2

Related to: 10