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Distances Between Formal Concept Analysis Structures

Authors: Alexandre Bazin and Giacomo Kahn

Published in: TGDK, Volume 3, Issue 2 (2025). Transactions on Graph Data and Knowledge, Volume 3, Issue 2

Abstract

In this paper, we study the notion of distance between the most important structures of formal concept analysis: formal contexts, concept lattices, and implication bases. We first define three families of Minkowski-like distances between these three structures. We then present experiments showing that the correlations of these distances are low and depend on the distance between formal contexts.

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Alexandre Bazin and Giacomo Kahn. Distances Between Formal Concept Analysis Structures. In Transactions on Graph Data and Knowledge (TGDK), Volume 3, Issue 2, pp. 2:1-2:18, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2025)

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@Article{bazin_et_al:TGDK.3.2.2,
  author =	{Bazin, Alexandre and Kahn, Giacomo},
  title =	{{Distances Between Formal Concept Analysis Structures}},
  journal =	{Transactions on Graph Data and Knowledge},
  pages =	{2:1--2:18},
  ISSN =	{2942-7517},
  year =	{2025},
  volume =	{3},
  number =	{2},
  publisher =	{Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{https://drops.dagstuhl.de/entities/document/10.4230/TGDK.3.2.2},
  URN =		{urn:nbn:de:0030-drops-248126},
  doi =		{10.4230/TGDK.3.2.2},
  annote =	{Keywords: Formal Concept Analysis, Implication Base, Concept Lattice, Pattern Mining, Ordinal Data Science}
}

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Distances Between Formal Concept Analysis Structures

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