Fuzzy Associative Memories from the Perspective of Mathematical Morphology

Author

Valle, Marcos Eduardo ; Sussner, Peter

Author_Institution

State Univ. of Campinas, Campinas

fYear

2007

fDate

23-26 July 2007

Firstpage

1

Lastpage

6

Abstract

Mathematical morphology (MM) is a theory concerned with the processing and analysis of objects using operators based on topological and geometrical concepts. We speak of a fuzzy morphological associative memory (FMAM) when a fuzzy associative memory (FAM) model is equipped with neurons that correspond to an operator of mathematical morphology. This paper shows that several FAM models, including the FAMs of Kosko, most generalized FAMs of Chung and Lee, the FAM of Junbo et al., the max-min FAM with threshold, the fuzzy logic bidirectional associative memories, and the implicative fuzzy associative memories, belong to the FMAM class. Moreover, we present two strategies for deriving a new FMAM model from a given FMAM. These strategies are based on two duality relationship of mathematical morphology: duality with respect to negation and duality with respect to adjunction.

Keywords

content-addressable storage; duality (mathematics); fuzzy logic; mathematical programming; minimax techniques; fuzzy associative memory; geometrical concept; mathematical morphology; max-min technique; Artificial neural networks; Associative memory; Fuzzy logic; Fuzzy neural networks; Lattices; Mathematical model; Morphology; Neural networks; Neurons; Target tracking;

fLanguage

English

Publisher

ieee

Conference_Titel

Fuzzy Systems Conference, 2007. FUZZ-IEEE 2007. IEEE International

Conference_Location

London

ISSN

1098-7584

Print_ISBN

1-4244-1209-9

Electronic_ISBN

1098-7584

Type

conf

DOI

10.1109/FUZZY.2007.4295473

Filename

4295473