Lattice algebras replace + and - with max and min, but then can create many of the operations of normal algebra. In particular lattice algebras can be used in the study of neural networks and extraction of images in the presence of noise. This paper is not a full introduction but a start with some of the simple algorithms that can be used.
/lp/association-for-computing-machinery/a-small-part-of-lattice-theory-z0SiH7y1ZW