Balanced Fermatean quadripartitioned neutrosophic fuzzy graphs and its application

This article presents and investigates the novel model of a balanced Fermatean Quadripartitioned Neutrosophic Fuzzy Graphs, based on density functions. We examine the intrinsic properties of these graphs, focusing on the necessary conditions for Fermatean Quadripartitioned Neutrosophic Fuzzy Graphs (FQNFG) to achieve balance, particularly under self-complementary, complete, and strong graph characteristics. Additionally, we analyze the properties of FQNFG complements, providing insights into their structural relationships and transformations. Finally, we apply this theoretical foundation to model student performance, addressing uncertainties and complexities in educational data. Leveraging balanced FQNFGs provides clearer and fairer insights into student performance, enabling targeted interventions and supporting more effective with equitable educational practices.

Keywords:

Fermatean Neutrosophic Graph (FNG) , Density of FNG , Balanced FNG , Fermatean Quadripartitioned Neutrosophic Graph