Fuzzy Clustering based on Coverings

Didier Dubois (1, 2) , Daniel Sanchez (3, 4)

1 IRIT-ADRIA - Argumentation, Décision, Raisonnement, Incertitude et Apprentissage
2 QUB - Queen's University [Belfast]
3 European Centre for Soft Computing
4 UGR - Universidad de Granada = University of Granada

In this paper we propose fuzzy coverings as a way to perform fuzzy clustering of data on the basis of a fuzzy proximity relation. Remarkably, the proposal does not require any kind of fuzzy transitivity.

Domaines: Intelligence artificielle [cs.AI]

Didier Dubois, Daniel Sanchez. Fuzzy Clustering based on Coverings. Borgelt, Christian; Gil, Maria Angeles; Sousa, Joao M.C; Verleysen, Michel. Towards Advanced Data Analysis by Combining Soft Computing and Statistics, 285, Springer, pp.319-330, 2013, Studies in Fuzziness and Soft Computing (STUDFUZZ), 978-3-642-30277-0. ⟨10.1007/978-3-642-30278-7_25⟩. ⟨hal-03413937⟩