Quantale Modules and their Operators, with Applications
Logic
2015-09-01 v1 Information Theory
math.IT
Abstract
The central topic of this work is the categories of modules over unital quantales. The main categorical properties are established and a special class of operators, called Q-module transforms, is defined. Such operators - that turn out to be precisely the homomorphisms between free objects in those categories - find concrete applications in two different branches of image processing, namely fuzzy image compression and mathematical morphology.
Cite
@article{arxiv.1002.0968,
title = {Quantale Modules and their Operators, with Applications},
author = {Ciro Russo},
journal= {arXiv preprint arXiv:1002.0968},
year = {2015}
}