A Galois Framework for the Study of Analogical Classifiers

Miguel Couceiro, Erkko Lehtonen

Research output: Contribution to journalConference articlepeer-review


In this paper, we survey some recent advances in the study of analogical classifiers, i.e., classifiers that are compatible with the principle of analogical inference. We will present a Galois framework induced by relation between formal models of analogy and the corresponding classes of analogy preserving functions. The usefulness these general results will be illustrated over Boolean domains, which explicitly present the Galois closed sets of analogical classifiers for different pairs of formal models of Boolean analogies.


  • analogical classifier
  • Analogical proportion
  • analogical reasoning
  • Galois theory


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