From analogical proportions in lattices to proportional analogies in formal concepts

Miclet, L; Barbot, N; Prade, H

From analogical proportions in lattices to proportional analogies in formal concepts

Miclet, L Barbot, N Prade, H

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Publication Type:: Conference Proceeding
Citation:: Frontiers in Artificial Intelligence and Applications, 2014, 263 pp. 627 - 632
Issue Date:: 2014-01-01

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Field	Value	Language
dc.contributor.author	Miclet, L	en_US
dc.contributor.author	Barbot, N	en_US
dc.contributor.author	Prade, H https://orcid.org/0000-0003-4586-8527	en_US
dc.date.issued	2014-01-01	en_US
dc.identifier.citation	Frontiers in Artificial Intelligence and Applications, 2014, 263 pp. 627 - 632	en_US
dc.identifier.isbn	9781614994183	en_US
dc.identifier.issn	0922-6389	en_US
dc.identifier.uri	http://hdl.handle.net/10453/121613
dc.description.abstract	© 2014 The Authors and IOS Press. The paper provides an attempt at bridging formal concept analysis and the modeling of analogical proportions (i.e., statements of the form 'a is to b as c is to d'). A suitable definition for analogical proportions in non distributive lattices is proposed and then applied to concept lattices. This enables us to compute what we call proportional analogies that establish analogies on a proportional basis between pairs (a, b) and (c, d) when a and c belong to a domain and b and d to another domain (as in 'Moby Dick is to Herman Melville as Alice in Wonderland is to Lewis Carroll').	en_US
dc.relation.ispartof	Frontiers in Artificial Intelligence and Applications	en_US
dc.relation.isbasedon	10.3233/978-1-61499-419-0-627	en_US
dc.title	From analogical proportions in lattices to proportional analogies in formal concepts	en_US
dc.type	Conference Proceeding
utslib.citation.volume	263	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	263	en_US

Abstract:

© 2014 The Authors and IOS Press. The paper provides an attempt at bridging formal concept analysis and the modeling of analogical proportions (i.e., statements of the form 'a is to b as c is to d'). A suitable definition for analogical proportions in non distributive lattices is proposed and then applied to concept lattices. This enables us to compute what we call proportional analogies that establish analogies on a proportional basis between pairs (a, b) and (c, d) when a and c belong to a domain and b and d to another domain (as in 'Moby Dick is to Herman Melville as Alice in Wonderland is to Lewis Carroll').

Please use this identifier to cite or link to this item:

http://hdl.handle.net/10453/121613