Weighted Description Logic for Classification Problems

Abstract

We summarise the definitions and some technical aspects of a familiy of description logics that introduce concept constructors (so-called tooth-operators) which, under various constraints, accumulate weights of concepts. We demonstrate how these operators can be fruitfully and elegantly applied to a number of cognitively motivated classification problems which are difficult to handle with the standard expressive means of description logics.

Succinctness and Complexity of ALC with Counting Perceptrons

“…They have been used, e.g., in learning scenarios (Galliani et al 2020) and in modelling concept combination problems (Righetti et al 2019). Therefore, designing description logic languages that support the tooth has the potential to help general practitioners to write ontologies in a more accessible and agile way.…”