Neutrosophic Sets and Systems
Abstract
In this article, we discuss the fermatean neutrosophic graph of Wiener index, which is an essential topological index formed according to geodesical distance of vertices. The Wiener index is an important factor to describe the structure of a graph and we de ned it in relation to fermatean neutrosophic graphs and computed it for some speci c fermatean neutrosophic graph structures including complete fermatean neutrosophic graphs, cycles and trees. Subsequently, the Wiener index is compared with the connectivity index, a core-degree based parameter, using a sequence of theorems. As an application the study responds to the di culties in election analysis in democratic environments where voter choices are often nuanced an unpredictable and the methods of measurement are not sensitive enough to capture these changes. To improve the modeling of election data, this work employs fermatean neutrosophic graphs (FNGs) and the Wiener index, which distinguish nodes that represent leadership qualities, policy suggestions, and public commitment as well as the relationship between these nodes. This approach manages uncertainty and indeterminacy well and provides a sound method of enhancing the measurability and credibility of analytical techniques in managing complicated events like elections
Recommended Citation
AL-omeri, Wadei Fares; Kaviyarasu M; and M. Rajeshwari. "Fermatean Neutrosophic Fuzzy Graphs: A Study on the Winner Index with Enhancing Election Analysis." Neutrosophic Sets and Systems 80, 1 (2025). https://digitalrepository.unm.edu/nss_journal/vol80/iss1/8
