An Overview of Fermatean Neutrosophic Graphs

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.

Publication Details

Journal
SHILAP Revista de lepidopterología
Published
2025-03-17
DOI
https://doi.org/10.5281/zenodo.15036676
Primary Topic
Legionella and Acanthamoeba research
Type
article
Field-Weighted Citation Impact
0.00
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article

An Overview of Fermatean Neutrosophic Graphs

SHILAP Revista de lepidopterología
Legionella and Acanthamoeba research
article

An Overview of Fermatean Neutrosophic Graphs

article en

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.

SHILAP Revista de lepidopterología
Peace, Justice and strong institutions
Openalex Percentile: Top 50%
Legionella and Acanthamoeba research
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