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Max-C and Min-D Projection Auto-Associative Fuzzy Morphological Memories: Theory and an Application for Face Recognition

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Autor(es):
dos Santos, Alex Santana ; Valle, Marcos Eduardo
Número total de Autores: 2
Tipo de documento: Artigo Científico
Fonte: APPLIEDMATH; v. 3, n. 4, p. 30-pg., 2023-12-01.
Resumo

Max-C and min-D projection auto-associative fuzzy morphological memories (max-C and min-D PAFMMs) are two-layer feedforward fuzzy morphological neural networks designed to store and retrieve finite fuzzy sets. This paper addresses the main features of these auto-associative memories: unlimited absolute storage capacity, fast retrieval of stored items, few spurious memories, and excellent tolerance to either dilative or erosive noise. Particular attention is given to the so-called Zadeh' PAFMM, which exhibits the most significant noise tolerance among the max-C and min-D PAFMMs besides performing no floating-point arithmetic operations. Computational experiments reveal that Zadeh's max-C PFAMM, combined with a noise masking strategy, yields a fast and robust classifier with a strong potential for face recognition tasks. (AU)

Processo FAPESP: 22/01831-2 - Redes neurais artificiais de valor hipercomplexo: além dos números complexos e quaternios
Beneficiário:Marcos Eduardo Ribeiro Do Valle Mesquita
Modalidade de apoio: Auxílio à Pesquisa - Regular
Processo FAPESP: 19/02278-2 - Morfologia Matemática e Redes Neurais Morfológicas para Dados Multi-valorados
Beneficiário:Marcos Eduardo Ribeiro Do Valle Mesquita
Modalidade de apoio: Auxílio à Pesquisa - Regular