Neutrosophic Sets and Systems
Abstract
A new area of study called "neutrosophic graph theory" uses neutrosophic logic to expand on traditional graph theory to include ambiguous, indeterminate, and uncertain information. This paper gives a thorough introduction to neutrosophic graphs, including their definition, components, uses, and difficulties. Neutrosophic graphs let you show and analyze relationships that aren't clear-cut because they give vertices and edges different levels of truth, indeterminacy, and falsity. Image processing, social network analysis, pattern recognition, and decision-making in the face of uncertainty all use neutrosophic graphs. However, we still need to resolve issues like interpretability and computational complexity. All things considered, neutrosophic graphs provide a viable framework for representing and evaluating ambiguous information in graph structures, with potential applications in a variety of fields.
Recommended Citation
Panda, Nihar Ranjan; Prasanta Kumar Raut; Amarendra Baral; Srikanta Kumar Sahoo; Sakya Singh Satapathy; and Said Broumi. "An Overview of Neutrosophic Graphs." Neutrosophic Sets and Systems 77, 1 (2025). https://digitalrepository.unm.edu/nss_journal/vol77/iss1/23
