Mathematics and Computational Sciences

A decision-making model based on energy concepts in Fermatean Quadripartitioned Neutrosophic fuzzy graphs

Document Type : Original Article

Authors

Divya Venkatesan 1
Jesintha Rosline Jesuraj 1
Anthoni Amali Asir 1
Chellamani Perumal 2

1 Department of Mathematics, Auxilium College (Autonomous), Affiliated to Thiruvalluvar University, Vellore District, Tamil Nadu, India.

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

https://doi.org/10.30511/mcs.2026.2077684.1608
Abstract
Fermatean Quadripartitioned Neutrosophic fuzzy graphs (FQNFG) is the integrating form of Fermatean and Quadripartitioned Neutrosophic fuzzy graphs. 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 suitable illustrations. Furthermore, we obtain lower and upper bounds of energy and Laplacian energy for FQNFG. Additionally, this study presents a decision-making method that uses a scoring approach to assess and compare Laptops based on critical attributes such as processing power, memory & storage, Battery life and Display quality.

Keywords

Neutrosophic Fermatean fuzzy graph
Eigen Values
Energy of FQNFG
Laplacian energy of FQNFG
Multi-criteria decision making
Subjects
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Mathematics and Computational Sciences
Volume 7, Issue 2
Spring 2026
Pages 137-155

  • Receive Date 13 November 2025
  • Revise Date 28 April 2026
  • Accept Date 08 May 2026

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