Quantale Modules and their Operators, with Applications
Ciro Russo · Journal of Logic and Computation · 2008
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.