Mathematics and Computational Sciences

Balanced Fermatean Quadripartitioned Neutrosophic Fuzzy Graphs and its Application

Articles in Press

Document Type : Original Article

Authors

Jesintha Rosline
V Divya 1
S. Manikanda Prabhu 2

1 PG and Research Department of Mathematics, Research Scholar, Auxilium College, Affiliated to Thiruvalluvar University, Serkadu, Vellore, TamilNadu, India.

2 St. Joseph's College of Engineering, OMR, Chennai, Affiliated to Anna University, Chennai,TamilNadu, India

Abstract
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

Subjects

Mathematics and Computational Sciences

Articles in Press, Accepted Manuscript
Available Online from 26 April 2026

  • Receive Date 13 November 2025
  • Revise Date 21 April 2026
  • Accept Date 26 April 2026

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