A Study on Linguistic Z-Graph and Its Application in Social Networks

Rupkumar Mahapatra, Sovan Samanta (), Madhumangal Pal, Tofigh Allahviranloo and Antonios Kalampakas
Additional contact information
Rupkumar Mahapatra: Department of Applied Mathematics, Vidyasagar University, Midnapore 721102, West Bengal, India
Sovan Samanta: Department of Technical Sciences, Western Caspian University, Baku AZ1001, Azerbaijan
Madhumangal Pal: Department of Applied Mathematics, Vidyasagar University, Midnapore 721102, West Bengal, India
Tofigh Allahviranloo: Research Center of Performance and Productivity Analysis, Istinye University, Istanbul 34396, Türkiye
Antonios Kalampakas: College of Engineering and Technology, American University of the Middle East, Egaila 54200, Kuwait

Mathematics, 2024, vol. 12, issue 18, 1-24

Abstract: This 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.

Keywords: linguistic Z-graphs; fuzzy graphs; influential nodes; social networks; centrality measure (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2024
References: View references in EconPapers View complete reference list from CitEc
Citations:

Downloads: (external link)
https://www.mdpi.com/2227-7390/12/18/2898/pdf (application/pdf)
https://www.mdpi.com/2227-7390/12/18/2898/ (text/html)

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:gam:jmathe:v:12:y:2024:i:18:p:2898-:d:1479847

Access Statistics for this article

Mathematics is currently edited by Ms. Emma He

More articles in Mathematics from MDPI
Bibliographic data for series maintained by MDPI Indexing Manager ().