Brouwerian Autoassociative Morphological Memories and Their Relation to Traditional and Sparsely Con

• Autores: M E Valle, R V Costa
• Localización: Mathware & soft computing: The Magazine of the European Society for Fuzzy Logic and Technology, ISSN-e 1134-5632, Vol. 20, Nº. 1, 2013, págs. 35-41
• Idioma: inglés
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• Resumen

  • Autoassociative morphological memories (AMM) are memory models that use operations of mathematical morphology for the storage and recall of pattern associations. These models can be very well defined in a mathematical structure called complete lattice. In this paper, we introduce the Brouwerian autoassociative morphological memories (BAMMs) that are defined on a complete Brouwerian lattice. The autoassociative fuzzy implicative memory of Godel is an example of BAMM. The sparsely connected autoassociative morphological memory is also an example of BAMM. Some theoretical results concerning the storage capacity, noise tolerance, and a characterization of the patterns recalled by the novel memories are given in this paper.