Relevancia y calidad en sistemas de clasificación borrosaun enfoque algebraico
- Castiblanco Ruiz, Fabian Alberto
- Francisco Javier Montero de Juan Zuzendaria
- Camilo Andrés Franco de los Ríos Zuzendaria
- Juan Tinguaro Rodríguez González Zuzendaria
Defentsa unibertsitatea: Universidad Complutense de Madrid
Fecha de defensa: 2021(e)ko urtarrila-(a)k 26
- Matilde Santos Peñas Presidentea
- Daniel Gómez González Idazkaria
- Vincenzo Cutello Kidea
- Fabio A. González Osorio Kidea
- Ana Isabel del Amo Blanco Kidea
Mota: Tesia
Laburpena
Fuzzy cluster validation is an open problem with several perspectives for study. This doctoral thesis addresses the problem of determining the quality of fuzzy partitionsin unsupervised classification processes. For this purpose, criteria and indexes have been proposed that allow determining quality and high-quality fuzzy partitions, the relevance of a class or family of classes in a given fuzzy partition and, the optimal number of classes of a partition according to some characteristics studied.The proposal uses tools from abstract algebra such as group theory, particularly the theory of fuzzy subgroups, matrices of relations and the characteristic polynomials of such matrices. The theoretical results were applied and validated in the image segmentation problem...