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Conference Papers Year : 2013

Analogical Proportions and Multiple-Valued Logics


Recently, a propositional logic modeling of analogical proportions, i.e., statements of the form “A is to B as C is to D”, has been proposed, and has then led to introduce new related proportions in a general setting. This framework is well-suited for analogical reasoning and classification tasks about situations described by means of Boolean properties. There is a clear need for extending this approach to deal with the cases where i) properties are gradual ; ii) properties may not apply to some situations ; iii) the truth status of a property is unknown. The paper investigates the appropriate extension in each of these three cases.
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hal-01197273 , version 1 (11-09-2015)


  • HAL Id : hal-01197273 , version 1
  • OATAO : 12868


Henri Prade, Gilles Richard. Analogical Proportions and Multiple-Valued Logics. 12th European Conference on Symbolic and Quantitative Approaches to Reasoning with Uncertainty (ECSQARU 2013), Jul 2013, Utrecht, Netherlands. pp. 497-509. ⟨hal-01197273⟩
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