Abstract
In the study of the Social Networks, the Small World phenomenon appears frequently. We apply some techniques of graph theory and fuzzy sets to characterize the Small World features as well as the existence of the figure of leader in Social Networks. These techniques help to the conceptual formalization in relational networks analysis, by transforming linguistic and human-focused manner concepts related to social networks in some formal representation. These techniques are also applied when the similarity among nodes wants to be measured in order to study the current homophily present in a Network.
This work has been partially supported by the project TIN2008-06872-C04-02.
This is a preview of subscription content, log in via an institution.
Buying options
Tax calculation will be finalised at checkout
Purchases are for personal use only
Learn about institutional subscriptionsPreview
Unable to display preview. Download preview PDF.
References
Jackson, M.: Social and Economic Networks. Princeton University Press (2008)
Watts, D.: Networks, Dynamics, and the Small-World Phenomenon. American Journal of Sociology 105(2), 493–527 (1999)
Watts, D., Strogatz, S.: Collective Dynamics of ´Small World´Networks. Nature 393, 440–442 (1998)
Milgram, S.: The Small-World Problem. Psychology Today 2, 60–67 (1967)
Yager, R.R.: Intelligent Social Network Analysis using Granular Computing 23, 1197–1220 (2008)
Yager, R.R.: Concept Representation and Data base Structures in Fuzzy Social Relational Networks. IEEE Transactions on Systems. Man & Cib. 40(2), 413–419 (2010)
Jungnickel, D.: Graphs, networks and algorithms, 4th edn. Springer (2013)
Mathias, N., Gopal, V.: Small - worlds: How and why.arXiv:cond-mat/0002076v1, 1-20 (2000)
Newman, M.: The structure and function of complex networks. SIAM Review 45, 167–256 (2003)
Freeman, L.C.: A set of measures of centrality based on betweenness. Sociometry 40, 35–41 (1977)
Newman, M.: Scientific Collaboration Networks II. Shortest paths, weighted networks, and centrality. Phys. Rev. E 64, 016132 (2001)
Lazarsfeld, P., Merton, R.: Friendship as a social process: a sustantive and methodological analysis. In: Freedom and Control in Modern Society. Van Nostrad, NewYork (1954)
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2014 Springer International Publishing Switzerland
About this paper
Cite this paper
Casasús-Estellés, T., Yager, R.R. (2014). Fuzzy Concepts in Small Worlds and the Identification of Leaders in Social Networks. In: Laurent, A., Strauss, O., Bouchon-Meunier, B., Yager, R.R. (eds) Information Processing and Management of Uncertainty in Knowledge-Based Systems. IPMU 2014. Communications in Computer and Information Science, vol 443. Springer, Cham. https://doi.org/10.1007/978-3-319-08855-6_5
Download citation
DOI: https://doi.org/10.1007/978-3-319-08855-6_5
Publisher Name: Springer, Cham
Print ISBN: 978-3-319-08854-9
Online ISBN: 978-3-319-08855-6
eBook Packages: Computer ScienceComputer Science (R0)