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Analogical Proportions and Multiple-Valued Logics

  • Henri Prade
  • Gilles Richard
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 7958)

Abstract

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.

Keywords

analogical proportion multiple-valued logic three-valued logics 

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Copyright information

© Springer-Verlag Berlin Heidelberg 2013

Authors and Affiliations

  • Henri Prade
    • 1
  • Gilles Richard
    • 1
  1. 1.IRITUniversity of ToulouseToulouseFrance

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