Bridging gaps between several frameworks for the idea of granulation

Dubois, D; Prade, H

Bridging gaps between several frameworks for the idea of granulation

Dubois, D Prade, H

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Publication Type:: Conference Proceeding
Citation:: IEEE SSCI 2011 - Symposium Series on Computational Intelligence - FOCI 2011: 2011 IEEE Symposium on Foundations of Computational Intelligence, 2011, pp. 59 - 65
Issue Date:: 2011-08-10

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Field	Value	Language
dc.contributor.author	Dubois, D	en_US
dc.contributor.author	Prade, H https://orcid.org/0000-0003-4586-8527	en_US
dc.date.issued	2011-08-10	en_US
dc.identifier.citation	IEEE SSCI 2011 - Symposium Series on Computational Intelligence - FOCI 2011: 2011 IEEE Symposium on Foundations of Computational Intelligence, 2011, pp. 59 - 65	en_US
dc.identifier.isbn	9781424499823	en_US
dc.identifier.uri	http://hdl.handle.net/10453/119659
dc.description.abstract	Two important ideas at the core of Zadeh's seminal contributions to fuzzy logic and approximate reasoning are the notions of granulation and of possibilistic uncertainty. In this paper, elaborating on the basis of some formal analogy, recently made by the authors, between possibility theory and formal concept analysis, we suggest other bridges between theories for which the concept of granulation is central. We highlight the common features between the notion of extensional fuzzy set with respect to a similarity relation and the notion of concept. We also discuss the case of fuzzy rough sets. Thus, we point out some fruitful cross-fertilizations between the possibilistic representation of information and several views of granulation emphasizing the idea of clusters of points that can be identified respectively on the basis of their closeness, or of their common labeling in terms of properties. © 2011 IEEE.	en_US
dc.relation.ispartof	IEEE SSCI 2011 - Symposium Series on Computational Intelligence - FOCI 2011: 2011 IEEE Symposium on Foundations of Computational Intelligence	en_US
dc.relation.isbasedon	10.1109/FOCI.2011.5949479	en_US
dc.title	Bridging gaps between several frameworks for the idea of granulation	en_US
dc.type	Conference Proceeding
utslib.for	0804 Data Format	en_US
utslib.for	0803 Computer Software	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

Abstract:

Two important ideas at the core of Zadeh's seminal contributions to fuzzy logic and approximate reasoning are the notions of granulation and of possibilistic uncertainty. In this paper, elaborating on the basis of some formal analogy, recently made by the authors, between possibility theory and formal concept analysis, we suggest other bridges between theories for which the concept of granulation is central. We highlight the common features between the notion of extensional fuzzy set with respect to a similarity relation and the notion of concept. We also discuss the case of fuzzy rough sets. Thus, we point out some fruitful cross-fertilizations between the possibilistic representation of information and several views of granulation emphasizing the idea of clusters of points that can be identified respectively on the basis of their closeness, or of their common labeling in terms of properties. © 2011 IEEE.

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http://hdl.handle.net/10453/119659