Certain notions of energy in Fermatean quadripartitioned Neutrosophic fuzzy graph

Authors

  • V. Divya PG and Research Department of Mathematics, Auxilium College (Autonomous), Affiliated to Thiruvalluvar University, Vellore Dist., Tamil Nadu, India.
  • J. Jesintha Rosline * PG and Research Department of Mathematics, Auxilium College (Autonomous), Affiliated to Thiruvalluvar University, Vellore Dist., Tamil Nadu, India.

https://doi.org/10.48313/uda.v2i4.91

Abstract

Fermatean Quadripartitioned Neutrosophic fuzzy graph (FQNFG) is the integrating form of Fermatean and Quadripartitioned Neutrosophic fuzzy graph. Graph energy is recognized as a crucial concept in fuzzy graph theory for its ability to handle random events, thus capturing the attention of numerous researchers. Moreover, the study of graph energy has been a notable rise in recent years. Energy of Graphs have significant applications in various domains, including network analysis, decision making, Image processing, modelling uncertainty etc. This paper introduces energy and Laplacian energy for FQNFG. Adjacency matrix, eigen values, energy and Laplacian energy of FQNFG are defined with examples. Furthermore, we obtain lower and upper bounds of energy and Laplacian energy for FQNFG. Additionally, this study represents a sophisticated decision-making framework, employing a scoring methodology to assess and compare Laptops based on critical attributes such as processing power, memory & storage, Battery life and Display quality.

Keywords:

Neutrosophic fuzzy graph, Quadripartitioned Neutrosophic fuzzy graph, Fermatean Quadripartitioned Neutrosophic fuzzy graph, Eigen Values, Energy of FQNFG, Laplacian energy of FQNFG, Multi-criteria decision making

References

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Published

2025-12-15

Issue

Vol. 2 No. 4 (2025): Uncertainty Discourse and Applications

Section

Articles

How to Cite

Divya, V., & Jesintha Rosline, J. . (2025). Certain notions of energy in Fermatean quadripartitioned Neutrosophic fuzzy graph. Uncertainty Discourse and Applications, 2(4), 303-318. https://doi.org/10.48313/uda.v2i4.91

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