Analogical proportions and multiple-valued logics

Prade, H; Richard, G

Analogical proportions and multiple-valued logics

Prade, H

Richard, G

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Publication Type:: Conference Proceeding
Citation:: Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics), 2013, 7958 LNAI pp. 497 - 509
Issue Date:: 2013-08-01

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Field	Value	Language
dc.contributor.author	Prade, H https://orcid.org/0000-0003-4586-8527	en_US
dc.contributor.author	Richard, G	en_US
dc.date.issued	2013-08-01	en_US
dc.identifier.citation	Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics), 2013, 7958 LNAI pp. 497 - 509	en_US
dc.identifier.isbn	9783642390906	en_US
dc.identifier.issn	0302-9743	en_US
dc.identifier.uri	http://hdl.handle.net/10453/32829
dc.description.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. © 2013 Springer-Verlag Berlin Heidelberg.	en_US
dc.relation.ispartof	Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)	en_US
dc.relation.isbasedon	10.1007/978-3-642-39091-3-42	en_US
dc.subject.classification	Artificial Intelligence & Image Processing	en_US
dc.title	Analogical proportions and multiple-valued logics	en_US
dc.type	Conference Proceeding
utslib.citation.volume	7958 LNAI	en_US
utslib.for	0801 Artificial Intelligence and Image Processing	en_US
pubs.embargo.period	Not known	en_US
pubs.organisational-group	/University of Technology Sydney
pubs.organisational-group	/University of Technology Sydney/Faculty of Engineering and Information Technology
pubs.organisational-group	/University of Technology Sydney/Faculty of Engineering and Information Technology/School of Software
pubs.organisational-group	/University of Technology Sydney/Strength - CAI - Centre for Artificial Intelligence
utslib.copyright.status	closed_access
pubs.publication-status	Published	en_US
pubs.volume	7958 LNAI	en_US

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. © 2013 Springer-Verlag Berlin Heidelberg.

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http://hdl.handle.net/10453/32829