Neutrosophic Fuzzy Magic Labeling Graph with its Application in Academic Performance of the Students

Abstract

Graph labelling is the assignment of labels to the edges, vertices, or both. The issue of limiting
the spread of non-interfering frequencies allotted to radio transmitters serves as the motivation for the
research on labelling graphs according to different limitations. However, compared to classical models,
fuzzy labelling models provide the system with greater accuracy, adaptability, and compatibility. The
definition of the neutrosophic fuzzy magic labelling graph and a detailed discussion of its properties
using numerical examples for the path, cycle, and star graphs in a neutrosophic environment are
presented in this study. The proposed work has also been used in decision-making situations to choose
the optimal subject combinations based on student interests for the best academic performance. In order
to demonstrate the validity of the suggested work, a comparative analysis with the current methodology
has also been conducted.