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Fuzzy-System Kernel Machines: A Kernel Method Based on the Connections Between Fuzzy Inference Systems and Kernel Machines

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Autor(es):
Guevara, Jorge ; Mendel, Jerry M. ; Hirata, Roberto
Número total de Autores: 3
Tipo de documento: Artigo Científico
Fonte: IEEE TRANSACTIONS ON FUZZY SYSTEMS; v. 30, n. 10, p. 13-pg., 2022-10-01.
Resumo

This article introduces the fuzzy-system kernel machines-a class of machine learning models based on the connection between fuzzy inference systems and kernel machines. For the connection, we observed a relationship between the representer theorem of kernel methods and the functional representation of nonsingleton fuzzy systems. We found that the nonsingleton kernel on fuzzy sets-a kernel defined in this article-is the core element allowing this two-way connection perspective. Consequently, a fuzzy system trained with the kernel method can be regarded as a kernel machine, whereas a kernel machine trained with a nonsingleton kernel on fuzzy sets can be interpreted as a fuzzy system. We conducted several experiments in supervised classification to understand the generalization power and properties of the proposed fuzzy-system kernel machines. (AU)

Processo FAPESP: 14/50937-1 - INCT 2014: da Internet do Futuro
Beneficiário:Fabio Kon
Modalidade de apoio: Auxílio à Pesquisa - Temático