From Fuzzy Information to Community Detection: An Approach to Social Networks Analysis with Soft Information

Inmaculada Gutiérrez (), Daniel Gómez, Javier Castro and Rosa Espínola
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Inmaculada Gutiérrez: Facultad de Estudios Estadísticos, Universidad Complutense de Madrid, 28040 Madrid, Spain
Daniel Gómez: Facultad de Estudios Estadísticos, Universidad Complutense de Madrid, 28040 Madrid, Spain
Javier Castro: Facultad de Estudios Estadísticos, Universidad Complutense de Madrid, 28040 Madrid, Spain
Rosa Espínola: Facultad de Estudios Estadísticos, Universidad Complutense de Madrid, 28040 Madrid, Spain

Mathematics, 2022, vol. 10, issue 22, 1-22

Abstract: On the basis of network analysis, and within the context of modeling imprecision or vague information with fuzzy sets, we propose an innovative way to analyze, aggregate and apply this uncertain knowledge into community detection of real-life problems. This work is set on the existence of one (or multiple) soft information sources, independent of the network considered, assuming this extra knowledge is modeled by a vector of fuzzy sets (or a family of vectors). This information may represent, for example, how much some people agree with a specific law, or their position against several politicians. We emphasize the importance of being able to manage the vagueness which usually appears in real life because of the common use of linguistic terms. Then, we propose a constructive method to build fuzzy measures from fuzzy sets. These measures are the basis of a new representation model which combines the information of a network with that of fuzzy sets, specifically when it comes to linguistic terms. We propose a specific application of that model in terms of finding communities in a network with additional soft information. To do so, we propose an efficient algorithm and measure its performance by means of a benchmarking process, obtaining high-quality results.

Keywords: soft information; fuzzy sets; linguistic term; extended fuzzy graph; social network analysis; community detection problem (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2022
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