On Mean Sombor Index of Fuzzy Graphs

In this article, the average Sombor index was introduced as a graph parameter to quantify the structural characteristics of a graph. This paper provided bounds for some standard class of fuzzy graphs and applied these results to real-life problems in the field of internet system development. To analyze the Bharati Airtel Ltd. internet system in India, this paper constructed an internet system graph. In this graph, the least average Sombor index of a vertex indicates that the vertex is most crucial for the development of the internet network system.