Analogical proportions and multiple-valued logics

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Conference Proceeding
Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics), 2013, 7958 LNAI pp. 497 - 509
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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. © 2013 Springer-Verlag Berlin Heidelberg.
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