A brief review of lattice computing

Defining lattice computing as the class of algorithms that either apply lattice operators inf and sup or use lattice theory to produce generalizations or fusions of previous approaches, we find that a host of algorithms for data processing, classification, signal filtering, have been produced over the last decades. We give a fast and brief review, which by no means could be exhaustive; with the aim of showing that this area has been growing during the past decades and to highlight the ones that we think are broad avenues for future research. Although our emphasis is on Artificial Neural Networks and Fuzzy Systems in this review we include Mathematical Morphology as a notorious instance of Lattice Computing.