Multiple bipolar fuzzy measures: an application to community detection problems for networks with additional information
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arXiv
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| Auteurs principaux: | , , , |
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| Format: | Preprint |
| Publié: |
2024
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| _version_ | 1866909096814313472 |
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| author | Gutiérrez, Inmaculada Gómez, Daniel Castro, Javier Espínola, Rosa |
| author_facet | Gutiérrez, Inmaculada Gómez, Daniel Castro, Javier Espínola, Rosa |
| contents | In this paper we introduce the concept of multiple bipolar fuzzy measures as a generalization of a bipolar fuzzy measure. We also propose a new definition of a group, which is based on the multidimensional bipolar fuzzy relations of its elements. Taking into account this information, we provide a novel procedure (based on the well-known Louvain algorithm) to deal with community detection problems. This new method considers the multidimensional bipolar information provided by multiple bipolar fuzzy measures, as well as the information provided by a graph. We also give some detailed computational tests, obtained from the application of this algorithm in several benchmark models. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2402_04786 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Multiple bipolar fuzzy measures: an application to community detection problems for networks with additional information Gutiérrez, Inmaculada Gómez, Daniel Castro, Javier Espínola, Rosa Social and Information Networks Statistics Theory Physics and Society 6208, 86A32, 62P25 G.3 In this paper we introduce the concept of multiple bipolar fuzzy measures as a generalization of a bipolar fuzzy measure. We also propose a new definition of a group, which is based on the multidimensional bipolar fuzzy relations of its elements. Taking into account this information, we provide a novel procedure (based on the well-known Louvain algorithm) to deal with community detection problems. This new method considers the multidimensional bipolar information provided by multiple bipolar fuzzy measures, as well as the information provided by a graph. We also give some detailed computational tests, obtained from the application of this algorithm in several benchmark models. |
| title | Multiple bipolar fuzzy measures: an application to community detection problems for networks with additional information |
| topic | Social and Information Networks Statistics Theory Physics and Society 6208, 86A32, 62P25 G.3 |
| url | https://arxiv.org/abs/2402.04786 |