Analogy Between Concepts (Extended Abstract)

Nelly Barbot, Laurent Miclet, Henri Prade

Proceedings of the Twenty-Ninth International Joint Conference on Artificial Intelligence

Journal track. Pages 5015-5019.

https://doi.org/10.24963/ijcai.2020/698

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Abstract

Analogical proportions are statements of the form “x is to y as z is to t”, where x, y, z, t are items of the same nature, or not. In this paper, we more particularly consider “relational proportions” of the form “object A has the same relationship with attribute a as object B with attribute b”. We provide a formal definition for relational proportions, and investigate how they can be extracted from a formal context, in the setting of formal concept analysis.

Keywords

  • Knowledge Representation and Reasoning: Case-based Reasoning
  • Knowledge Representation and Reasoning: Other
  • Data Mining: Theoretical Foundations
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