Abstract
Fuzzy centrality analysis is one of the most important and commonly used tools in fuzzy social network. This is a measurement concept concerning an actor’s central position in the fuzzy social network, and it reflects the different positions and advantages between social network actors. In this paper we extend the notion of centrality and centralization to the fuzzy framework, propose fuzzy inversely attenuation closeness centrality, and discussed fuzzy group closeness centralization based on inversely attenuation factor in fuzzy social networks.
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References
Wasserman, S., Faust, K.: Social Network Analysis: Methods and applications. Cambridge University Press, Cambridge (1994)
Shaw. Communication networks. In: Berkowitz, L. (Ed.), Advances in Experimental Social Psychology. Academic Press, New York, pp. 111–147 (1954)
Nieminen. On the centrality in a directed graph. Social Science Research, 2,371–378(1974)
Beauchamp. An improved index of centrality. Behavioral Science 10, 161–163(1965)
Sabidussi. The centrality index of a graph. Psychometrika 31, 581–603 (1966)
Bavelas. A mathematical model for small group structures. Human Organization 7, 16–30 (1948)
Freeman. A set of measures of centrality based on betweenness. Sociometry 40, 35–41 (1977)
Stephenson, K., Zelen, M.: Rethinking centrality: methods and applications. Social Networks 11, 1–37 (1989)
Bonacich. Factoring and weighting approaches to status scores and clique detection. Journal of Mathematical Sociology 2, 113–120 (1972)
Bonacich. Power and centrality: a family of measures. American Journal of Sociology 92, 1170–1182 (1987)
Brin, S., Page, L.: The anatomy of a large-scale hypertextual web search engine. Computer Networks and ISDN Systems 30, 107–117 (1998)
Costenbader, Elizabeth, Valente, Thomas W.: The stability of centrality measures when networks are sampled. Social Networks 25, 283–307 (2003)
Newman, M.E.J.: A measure of betweenness centrality based on random walks. Social Networks 27, 39–54 (2005)
Barbara Zemljič and Valentina. Hlebec Reliability of measures of centrality and prominence. Social Networks 27, 73–88 (2005)
Soong Moon Kang. A note on measures of similarity based on centrality. Social Networks 29, 137–142 (2007)
Kolaczyk, Eric D., Chuab, David B., Barthélemy, Marc: Group betweenness and co-betweenness: Inter-related notions of coalition Centrality. Social Networks 31, 190–203 (2009)
Everett, Martin G., Borgatti, Stephen P.: Induced, endogenous and exogenous centrality. Social Networks 32, 339–344 (2010)
Sohn, Keemin, Kim, Daehyun: Zonal centrality measures and the neighborhood effect. Transportation Research Part A 44, 733–743 (2010)
Estrada, Ernesto: Generalized walks-based centrality measures for complex biological networks. Journal of Theoretical Biology 263, 556–565 (2010)
Ana, M.: Martı’n Gonza’ lez, Bo Dalsgaard, Jens M. Olesen. Centrality measures and the importance of generalist species in pollination networks. Ecological Complexity 7, 36–43 (2010)
Kermarrec, Anne-Marie, Le Merrer, Erwan, Sericola, Bruno, Trédan, Gilles: Second order centrality: Distributed assessment of nodes criticity in complex networks. Computer Communications 34, 619–628 (2011)
del Pozo, Mónica, Manuel, Conrado, González-Arangüena, Enrique, Owen, Guillermo: Centrality in directed social networks. A game theoretic approach. Social Networks 33, 191–200 (2011)
Wang, Jiaoe, Mo, Huihui, Wang, Fahui, Jin, Fengjun: Exploring the network structure and nodal centrality of China’s air transport network: A complex network approach. Journal of Transport Geography 19, 712–721 (2011)
Qi, Xingqin, Fuller, Eddie, Qin, Wu, Yezhou, Wu, Zhang, Cun-Quan: Laplacian centrality: A new centrality measure for weighted networks. Information Sciences 194, 240–253 (2012)
T. F. Fan, C. J. Liau, T. Y. Lin. Positional analysis in fuzzy social networks, in: Proceedings of the Third IEEE International Conference on Granular, Computing, pp. 423–428 (2007)
P. S. Nair, S. Sarasamma. Data mining through fuzzy social network analysis, in: Proceedings of the 26th Annual Meeting of the North American Fuzzy Information Processing Society, pp. 251–255 (2007)
Tseng, Ming-Lang: Implementation and performance evaluation using the fuzzy network balanced scorecard. Computers & Educaton 55, 188–201 (2010)
Liao Li-ping, Hu, Ren-jie. , : On the definition and property analysis of fuzzy social network based on fuzzy graph. Journal of Guangdong University of Technology: Social science edition 12(3), 46–51 (2012)
Acknowledgments
Thanks to the support by National Natural Science Foundation of China (No. 71173051), Eleventh Five-Year Plan project of Philosophy and Social Sciences, Guangdong Province (No. GD10CGL07), and High-tech Zone development guide special projects of Guangdong Province.
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Hu, Rj., Zhang, Gy., Liao, Lp. (2014). The Closeness Centrality Analysis of Fuzzy Social Network Based on Inversely Attenuation Factor. In: Cao, BY., Nasseri, H. (eds) Fuzzy Information & Engineering and Operations Research & Management. Advances in Intelligent Systems and Computing, vol 211. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-38667-1_46
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DOI: https://doi.org/10.1007/978-3-642-38667-1_46
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