A decision-making approach using Seidel Laplacian energy within the framework of Fermatean fuzzy graphs

Authors

  • Sivaranjani Krishnaraj Department of Mathematics, Sri Eshwar College of Engineering, Coimbatore, 641202, Tamil Nadu, India.; Department of Mathematics, Sree Saraswathi Thyagaraja College, Pollachi, Coimbatore, 642107, Tamil Nadu, India.
  • Shanmuga Sundaram O.V Department of Mathematics, Sree Saraswathi Thyagaraja College, Pollachi, Coimbatore, 642107, Tamil Nadu, India.
  • S Bhavani Department of Mathematics, Rajalakshmi Engineering College, Chennai 602105, Tamil Nadu, India.
  • Prasantha Bharathi Dhandapani Department of Mathematics, Sri Eshwar College of Engineering, Coimbatore, 641202, Tamil Nadu, India.
  • Seenith Sivasundaram College of Science, Engineering and Mathematics, Daytona Beach, Florida 321114, USA.

Abstract

Fermatan fuzzy sets (FFS) offer a good foundation for knowledge representation when the input contains vague and imprecise information. This publication analyses the significance of multi-criteria decision making and uses the score function to assess the energy and Seidel Laplacian energy of a fermatean fuzzy graph with appropriate illustrative cases. Several criteria for decision-making challenges are also addressed in this paper. 

Published

08/30/2025