Evaluation, Considered as Problem Orientable Mathematics Over Lattices

An evaluation of a set O of m objects with respect to a set A of n attributes, using, say, n parameters with real numbers as values, can be considered—after normalization of the parameter values L is a partial order, after normalization of the parameters, but more than that, L = [0, 1] n is a lattice. L-subsets over lattices have advantages which the standard Boolean subsets (over L = { 0, 1}) don’t have. We can in fact choose in a problem oriented way a suitable set theory for such sets, and a corresponding logic, so that we can decide if we want to be very strict in our argumentation or not, for example. This will be discussed briefly.