The logical encoding of Sugeno integrals

Dubois, D; Prade, H; Rico, A

The logical encoding of Sugeno integrals

Dubois, D Prade, H

Rico, A

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Publication Type:: Journal Article
Citation:: Fuzzy Sets and Systems, 2014, 241 pp. 61 - 75
Issue Date:: 2014-04-16

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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.contributor.author	Rico, A	en_US
dc.date.issued	2014-04-16	en_US
dc.identifier.citation	Fuzzy Sets and Systems, 2014, 241 pp. 61 - 75	en_US
dc.identifier.issn	0165-0114	en_US
dc.identifier.uri	http://hdl.handle.net/10453/120797
dc.description.abstract	Sugeno integrals are a well-known family of qualitative multiple criteria aggregation operators. The paper investigates how the behavior of these operators can be described in a prioritized propositional logic language, namely possibilistic logic. The case of binary-valued criteria, which amounts to providing a logical description of the fuzzy measure underlying the integral, is first considered. The general case of a Sugeno integral when criteria are valued on a discrete scale is then studied. © 2014 Elsevier B.V.	en_US
dc.relation.ispartof	Fuzzy Sets and Systems	en_US
dc.relation.isbasedon	10.1016/j.fss.2013.12.014	en_US
dc.subject.classification	Artificial Intelligence & Image Processing	en_US
dc.title	The logical encoding of Sugeno integrals	en_US
dc.type	Journal Article
utslib.citation.volume	241	en_US
utslib.for	0101 Pure Mathematics	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	241	en_US

Abstract:

Sugeno integrals are a well-known family of qualitative multiple criteria aggregation operators. The paper investigates how the behavior of these operators can be described in a prioritized propositional logic language, namely possibilistic logic. The case of binary-valued criteria, which amounts to providing a logical description of the fuzzy measure underlying the integral, is first considered. The general case of a Sugeno integral when criteria are valued on a discrete scale is then studied. © 2014 Elsevier B.V.

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http://hdl.handle.net/10453/120797