Neutrosophic Sets and Systems (Jun 2022)

Theory and Applications of Fermatean Neutrosophic Graphs

  • Said Broumi,
  • R. Sundareswaran,
  • M. Shanmugapriya,
  • Assia Bakali,
  • Mohamed Talea

DOI
https://doi.org/10.5281/zenodo.6774802
Journal volume & issue
Vol. 50
pp. 248 – 286

Abstract

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Yager et. al. defined a q-rung orthopair fuzzy sets as a new general class of Pythagorean fuzzy set in which the sum of the qth power of the support for and support against is bonded by one. Tapan et. al. extended the concept of intuitionistic fuzzy sets as 3-rung orthopair fuzzy sets or Fermatean fuzzy sets (FFSs). Later C. Antony et. al. introduced the concept of Fermatean Neutrosophic Sets. In this work, we define Fermatean neutrosophic graphs and present some operations on Fermatean neutrosophic graphs. Further, we introduce the concepts of regular Fermatean neutrosophic graphs, strong Fermatean neutrosophic graphs, Cartesian, Composition, Lexicographic product of Fermatean neutrosophic graphs. Finally, we give the applications of Fermatean neutrosophic graphs.

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