Paper Info
Title
Quantale-based autoassociative memories with an application to the storage of color images
Abstract
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.
Year
DOI
Venue
2013
10.1016/j.patrec.2013.03.034
Pattern Recognition Letters
Keywords
Field
DocType
processing lattice,complete lattice,supremum operator,new paradigm,mathematical structure,color image,quantale-based associative memory,lattice computing,type-2 fuzzy set,quantale-based autoassociative memory,binary operation
Discrete mathematics,Combinatorics,Quantale,Content-addressable memory,Lattice (order),Infimum and supremum,Fuzzy set,Complete lattice,Mathematics,Partially ordered set,Binary operation
Journal
Volume
Issue
ISSN
34
14
0167-8655
Citations 
PageRank 
References 
13
0.56
33
Authors
2
Name
Order
Citations
PageRank
Marcos Eduardo Valle122617.84
Peter Sussner288059.25