From fuzzy information to community detection: an approach to social networks analysis with soft information
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arXiv
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| Autores principales: | , , , |
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| Formato: | Preprint |
| Publicado: |
2024
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| _version_ | 1866917584357556224 |
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| author | Gutiérrez, Inmaculada Gómez, Daniel Castro, Javier Espínola, Rosa |
| author_facet | Gutiérrez, Inmaculada Gómez, Daniel Castro, Javier Espínola, Rosa |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2402_04782 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | From fuzzy information to community detection: an approach to social networks analysis with soft information Gutiérrez, Inmaculada Gómez, Daniel Castro, Javier Espínola, Rosa Statistics Theory Social and Information Networks Physics and Society 03E72 G.3 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. |
| title | From fuzzy information to community detection: an approach to social networks analysis with soft information |
| topic | Statistics Theory Social and Information Networks Physics and Society 03E72 G.3 |
| url | https://arxiv.org/abs/2402.04782 |