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Analogical Proportions and Multiple-Valued Logics

Prade, Henri and Richard, Gilles Analogical Proportions and Multiple-Valued Logics. (2013) In: 12th European Conference on Symbolic and Quantitative Approaches to Reasoning with Uncertainty (ECSQARU 2013), 7 July 2013 - 10 July 2013 (Utrecht, Netherlands).

(Document in English)

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Official URL: http://dx.doi.org/10.1007/978-3-642-39091-3_42


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.

Item Type:Conference or Workshop Item (Paper)
Additional Information:Thanks to Springer editor. This papers appears in Volume 7958 Lecture Notes in Computer Science ISSN : 0302-9743. ISBN: 978-3-642-39090-6. The original PDF is available at : http://link.springer.com/chapter/10.1007%2F978-3-642-39091-3_42
HAL Id:hal-01197273
Audience (conference):National conference proceedings
Uncontrolled Keywords:
Institution:Université de Toulouse > Institut National Polytechnique de Toulouse - Toulouse INP (FRANCE)
French research institutions > Centre National de la Recherche Scientifique - CNRS (FRANCE)
Université de Toulouse > Université Toulouse III - Paul Sabatier - UT3 (FRANCE)
Université de Toulouse > Université Toulouse - Jean Jaurès - UT2J (FRANCE)
Université de Toulouse > Université Toulouse 1 Capitole - UT1 (FRANCE)
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Deposited On:20 Jul 2015 08:57

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