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...

Full description

Bibliographic Details
Main Authors: Inmaculada Gutiérrez, Daniel Gómez, Javier Castro, Rosa Espínola
Format: Article
Language:English
Published: Atlantis Press 2020-10-01
Series:International Journal of Computational Intelligence Systems
Subjects:
Online Access:https://www.atlantis-press.com/article/125945340/view
Description
Summary: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.
ISSN:1875-6883