Multiple Bipolar Fuzzy Measures: An Application to Community Detection Problems for Networks with Additional Information
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 no...
| Main Authors: | , , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Springer
2020-10-01
|
| Series: | International Journal of Computational Intelligence Systems |
| Subjects: | |
| Online Access: | https://www.atlantis-press.com/article/125945340/view |
| _version_ | 1817983114987700224 |
|---|---|
| author | Inmaculada Gutiérrez Daniel Gómez Javier Castro Rosa Espínola |
| author_facet | Inmaculada Gutiérrez Daniel Gómez Javier Castro Rosa Espínola |
| author_sort | Inmaculada Gutiérrez |
| collection | DOAJ |
| description | 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. |
| first_indexed | 2024-04-13T23:29:30Z |
| format | Article |
| id | doaj.art-195bbdd9b73e4228828c2ce5c9cb69ec |
| institution | Directory Open Access Journal |
| issn | 1875-6883 |
| language | English |
| last_indexed | 2024-04-13T23:29:30Z |
| publishDate | 2020-10-01 |
| publisher | Springer |
| record_format | Article |
| series | International Journal of Computational Intelligence Systems |
| spelling | doaj.art-195bbdd9b73e4228828c2ce5c9cb69ec2022-12-22T02:24:57ZengSpringerInternational Journal of Computational Intelligence Systems1875-68832020-10-0113110.2991/ijcis.d.201012.001Multiple Bipolar Fuzzy Measures: An Application to Community Detection Problems for Networks with Additional InformationInmaculada GutiérrezDaniel GómezJavier CastroRosa EspínolaIn 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.https://www.atlantis-press.com/article/125945340/viewNetworksCommunity detectionBipolar fuzzy graphExtended bipolar fuzzy graphsMultiple bipolar fuzzy graphExtended multiple bipolar fuzzy graphs |
| spellingShingle | Inmaculada Gutiérrez Daniel Gómez Javier Castro Rosa Espínola Multiple Bipolar Fuzzy Measures: An Application to Community Detection Problems for Networks with Additional Information International Journal of Computational Intelligence Systems Networks Community detection Bipolar fuzzy graph Extended bipolar fuzzy graphs Multiple bipolar fuzzy graph Extended multiple bipolar fuzzy graphs |
| title | Multiple Bipolar Fuzzy Measures: An Application to Community Detection Problems for Networks with Additional Information |
| title_full | Multiple Bipolar Fuzzy Measures: An Application to Community Detection Problems for Networks with Additional Information |
| title_fullStr | Multiple Bipolar Fuzzy Measures: An Application to Community Detection Problems for Networks with Additional Information |
| title_full_unstemmed | Multiple Bipolar Fuzzy Measures: An Application to Community Detection Problems for Networks with Additional Information |
| title_short | Multiple Bipolar Fuzzy Measures: An Application to Community Detection Problems for Networks with Additional Information |
| title_sort | multiple bipolar fuzzy measures an application to community detection problems for networks with additional information |
| topic | Networks Community detection Bipolar fuzzy graph Extended bipolar fuzzy graphs Multiple bipolar fuzzy graph Extended multiple bipolar fuzzy graphs |
| url | https://www.atlantis-press.com/article/125945340/view |
| work_keys_str_mv | AT inmaculadagutierrez multiplebipolarfuzzymeasuresanapplicationtocommunitydetectionproblemsfornetworkswithadditionalinformation AT danielgomez multiplebipolarfuzzymeasuresanapplicationtocommunitydetectionproblemsfornetworkswithadditionalinformation AT javiercastro multiplebipolarfuzzymeasuresanapplicationtocommunitydetectionproblemsfornetworkswithadditionalinformation AT rosaespinola multiplebipolarfuzzymeasuresanapplicationtocommunitydetectionproblemsfornetworkswithadditionalinformation |