Analogical Proportions and Square of Oppositions

DOI10.1007/978-3-319-08855-6_33zbMath1418.68194OpenAlexW623468948MaRDI QIDQ5230071

Laurent Miclet, Henri Prade

Publication date: 20 August 2019

Published in: Information Processing and Management of Uncertainty in Knowledge-Based Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-319-08855-6_33

zbMATH Keywords

formal concept analysistruth tableanalogical reasoningsyllogistic reasoningBoolean variable

Mathematics Subject Classification ID

Logic in artificial intelligence (68T27) Knowledge representation (68T30)

Related Items (10)

Structures of opposition induced by relations. The Boolean and the gradual cases ⋮ Syllogisms and 5-square of opposition with intermediate quantifiers in fuzzy natural logic ⋮ Graded cubes of opposition in fuzzy formal concept analysis ⋮ Multiple-valued extensions of analogical proportions ⋮ Gradual Structures of Oppositions ⋮ The theory of intermediate quantifiers in fuzzy natural logic revisited and the model of ``many ⋮ Graded structures of opposition in fuzzy natural logic ⋮ Graded polygons of opposition in fuzzy formal concept analysis ⋮ Geometric and cognitive differences between logical diagrams for the Boolean algebra \(\mathbb {B}_{4}\) ⋮ Logical and geometrical distance in polyhedral Aristotelian diagrams in knowledge representation

Cites Work

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• From Blanché's hexagonal organization of concepts to formal concept analysis and possibility theory
• From analogical proportion to logical proportions
• Things that are right with the traditional square of opposition
• Handling Analogical Proportions in Classical Logic and Fuzzy Logics Settings

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