Quantale-based autoassociative memories with an application to the storage of color images

Autor(es)

Valle, Marcos Eduardo ; Sussner, Peter

• Tipo de documento: Artigo Científico
• Fonte: PATTERN RECOGNITION LETTERS; v. 34, n. 14, p. 13-pg., 2013-10-15.

Resumo

In recent years, lattice computing has emerged as a new paradigm for processing lattice ordered data such as intervals, Type-1 and Type-2 fuzzy sets, vectors, images, symbols, graphs, etc. Here, the word "lattice" refers to a mathematical structure that is defined as a special type of a partially ordered set (poset). In particular, a complete lattice is a poset that contains the infimum as well as the supremum of each of its subsets. In this paper, we introduce the quantale-based associative memory (QAM), where the notion of a quantale is defined as a complete lattice together with a binary operation that commutes with the supremum operator. We show that QAMs can be effectively used for the storage and the recall of color images. (C) 2013 Elsevier B.V. All rights reserved. (AU)

• Processo FAPESP: 11/10014-3 - Métodos de inteligência computacional e processamento de imagens baseados em morfologia matemática e álgebra de reticulados
• Beneficiário: Peter Sussner
• Modalidade de apoio: Auxílio à Pesquisa - Regular