An Overview of Fermatean Neutrosophic Graphs

Prasanta Kumar Raut; Surapati Pramanik; Bhabani S. Mohanty

Authors

Prasanta Kumar Raut Department of Mathematics, Trident Academy of Technology, Bhubaneswar, Odisha, India,
Surapati Pramanik Nandalal Ghosh B.T. College, Panpur, Narayanpur, Dist-North 24 Parganas, West Bengal, India, PIN-743126,
Bhabani S. Mohanty Department of Statistics and Applied Mathematics, Central University of Tamil Nadu, India,

Keywords:

Fuzzy set, Fermatean, fuzzy set, neutrosophic set, single valued neutrosophic set, Fermatean neutrosophic set, Fermatean neutrosophic graph

Abstract

Fermatean Neutrosophic graph theory plays a significant role in the modeling and
organization of optimization problems. In real-world scenarios, uncertainty is often present due to
undetermined or incomplete information. Consequently, experts face challenges in designing
optimization problems using fuzzy graphs. To address concerns about inconsistency,
unpredictability, and vagueness in graphical optimization problems, various expansions of graph
mathematical concepts have been developed. One such expansion is the concept of Fermatean
neutrosophic graphs, which effectively manage uncertainties associated with unspecified and
inadequate data in optimization problems. This article explores different types of Fermatean
neutrosophic graphs and their operations. Additionally, it provides a numerical example showcasing
the application of Fermatean Neutrosophic Sets in decision-making. These operations serve as
valuable tools for analyzing and manipulating neutrosophic graphs in optimization problems

DOI: 10.5281/zenodo.15036676