Multiple Bipolar Fuzzy Measures: An Application to Community Detection Problems for Networks with Additional Information

Authors

Inmaculada Gutiérrez^{1, *,} , Daniel Gómez^{1, 2,} , Javier Castro^{1, 2,} , Rosa Espínola^{1, 2,}

¹Faculty of Statistics, Complutense University Puerta de Hierro, s/n, Madrid, Spain

²Instituto de Evaluación Sanitaria, Complutense University, Madrid, Spain

^*Corresponding author. Email: inmaguti@ucm.es

DOI

10.2991/ijcis.d.201012.001How to use a DOI?

Keywords

Networks; Community detection; Bipolar fuzzy graph; Extended bipolar fuzzy graphs; Multiple bipolar fuzzy graph; Extended multiple bipolar fuzzy graphs; Louvain algorithm

Abstract

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.

Copyright

© 2020 The Authors. Published by Atlantis Press B.V.

Open Access

This is an open access article distributed under the CC BY-NC 4.0 license (http://creativecommons.org/licenses/by-nc/4.0/).

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TY  - JOUR
AU  - Inmaculada Gutiérrez
AU  - Daniel Gómez
AU  - Javier Castro
AU  - Rosa Espínola
PY  - 2020
DA  - 2020/10/22
TI  - Multiple Bipolar Fuzzy Measures: An Application to Community Detection Problems for Networks with Additional Information
JO  - International Journal of Computational Intelligence Systems
SP  - 1636
EP  - 1649
VL  - 13
IS  - 1
SN  - 1875-6883
UR  - https://doi.org/10.2991/ijcis.d.201012.001
DO  - 10.2991/ijcis.d.201012.001
ID  - Gutiérrez2020
ER  -