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Öğe A Study on Linguistic Z-Graph and Its Application in Social Networks(Multidisciplinary Digital Publishing Institute (MDPI), 2024) Mahapatra, Rupkumar; Samanta, Sovan; Pal, Madhumangal; Allahviranloo, Tofigh; Allahviranloo, TofighThis paper presents a comprehensive study of the linguistic Z-graph, which is a novel framework designed to analyze linguistic structures within social networks. By integrating concepts from graph theory and linguistics, the linguistic Z-graph provides a detailed understanding of language dynamics in online communities. This study highlights the practical applications of linguistic Z-graphs in identifying central nodes within social networks, which are crucial for online businesses in market capture and information dissemination. Traditional methods for identifying central nodes rely on direct connections, but social network connections often exhibit uncertainty. This paper focuses on using fuzzy theory, particularly linguistic Z-graphs, to address this uncertainty, offering more detailed insights compared to fuzzy graphs. Our study introduces a new centrality measure using linguistic Z-graphs, enhancing our understanding of social network structures. © 2024 by the authors.Öğe New concept of centrality measurement in fuzzy social networks(IOS Press BV, 2024) Mahapatra, Rupkumar; Samanta, Sovan; Pal, MadhumangalThe most critical task of a social network is to identify a central node. Numerous methods for determining centrality are documented in the literature. It contributes to online commerce by disseminating news, advertisements and other content via central nodes. Existing methods capture the node's direct reachability. This study introduces a novel method for quantifying centrality in a fuzzy environment. This measurement takes into account the reachability of nodes and their direct connections. Several critical properties have been demonstrated. A small Facebook network is used to illustrate the issue. Additionally, appropriate tables and graphs present a comparative study with existing methods for centrality measurement. © 2024-IOS Press. All rights reserved.