Centrality Measure Using Linguistic Z-graph and Its Application

Finding the most central node in a network is a crucial part of any social network. Nowadays, this central node is useful in online businesses for capturing the market and spreading news and advertisements. The existing methods for finding the central nodes depend on direct connections between the people. However, in social networks, connections between people are not certain, it seems to be uncertain. We can track this uncertainty using probability or fuzzy theory. In this chapter, we focus on fuzzy theory, especially linguistic Z-graphs, because they include more information. So, using linguistic Z-graphs to show social networks gives us more details compared to fuzzy graphs. This study introduces a new way to measure centrality using linguistic Z-graphs.