Theory and Applications of Fermatean Neutrosophic Graphs

Authors

  • Said Broumi Laboratory of Information Processing, Faculty of Science Ben M’Sik, University of Hassan II, Casablanca, Morocco
  • R. Sundareswaran Department of Mathematics, Sri Sivasubramaniya Nadar College of Engineering, India
  • M. Shanmugapriya Department of Mathematics, Sri Sivasubramaniya Nadar College of Engineering, India
  • Assia Bakali Ecole Royale Navale-Boulevard Sour Jdid, B.P 16303 Casablanca, Morocco
  • Mohamed Talea Laboratory of Information Processing, Faculty of Science Ben M’Sik, University of Hassan II, Casablanca, Morocco.

Keywords:

Pythagorean Fuzzy sets, Fermatean Fuzzy sets, Fermatean Neutrosophic sets, Fermatean Neutrosophic graphs

Abstract

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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Published

2022-06-01

Issue

Vol. 50 (2022): Neutrosophic Sets and Systems

Section

SI#1,2024: Neutrosophical Advancements And Their Impact on Research

License

Creative Commons License

This work is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License.

 Creative Commons Attribution (CC BY) license.

How to Cite

Broumi, S. ., Sundareswaran, R. ., Shanmugapriya, M. ., Bakali, A. ., & Talea, M. . (2022). Theory and Applications of Fermatean Neutrosophic Graphs. Neutrosophic Sets and Systems, 50, 248-286. https://fs.unm.edu/nss8/index.php/111/article/view/2523

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