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IAENG international journal of applied mathematics, 2020-06, Vol.50 (2), p.1-8
Ort / Verlag
Hong Kong: International Association of Engineers
Erscheinungsjahr
2020
Quelle
Free E-Journal (出版社公開部分のみ)
Beschreibungen/Notizen
Popularity of social networks like Facebook, LinkedIn, Twitter, Instagram, WhatsApp is increasingly increasing day by day. Social network scholars are very much interested to capture the uncertainties of social network. The neutrosophic set is a well known tool to handle and represent uncertainties in information due to indeterminateness or incompleteness. The main approach of our study is to investigate the neutrosophic approach to deal the uncertainties that may exist in social network. In this work, we introduce a neutrosophic model to present the social network using directed neutrosophic graph. We call this directed neutrosophic social network (DNSN). The centrality of actors play a very important theatrical role in social network analysis. In this paper, we introduce some centrality measures for DNSN, because DNSN where arcs are associated with directed neutrosophic relation would consist many information. We describe some new centrality measures such as neutrosophic out degree centrality, neutrosophic in degree centrality, neutrosophic out closeness centrality and neutrosophic in closeness centrality DFSNs. We also investigate about directed neutrosophic relation and connectivity for DNSN. We also present the robustness and validness of our proposed centrality measurement for DNSN by describing this technique to some directed neutrosophic graph and determine satisfactory results.