Qualitative integrals and desintegrals as lower and upper possibilistic expectations

Dubois, D; Prade, H; Rico, A

Qualitative integrals and desintegrals as lower and upper possibilistic expectations

Dubois, D Prade, H

Rico, A

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Publication Type:: Conference Proceeding
Citation:: 8th Conference of the European Society for Fuzzy Logic and Technology, EUSFLAT 2013 - Advances in Intelligent Systems Research, 2013, 32 pp. 318 - 325
Issue Date:: 2013-12-01

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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	2013-12-01	en_US
dc.identifier.citation	8th Conference of the European Society for Fuzzy Logic and Technology, EUSFLAT 2013 - Advances in Intelligent Systems Research, 2013, 32 pp. 318 - 325	en_US
dc.identifier.isbn	9781629932194	en_US
dc.identifier.uri	http://hdl.handle.net/10453/32899
dc.description.abstract	Any capacity (i.e., an increasing set function) has been proved to be a lower possibility measure and an upper necessity measure. Similarly, it is shown that any anti-capacity (i.e., a decreasing set function) can be viewed both as an upper guaranteed possibility measure and as a lower weak necessity measure. These results are the basis for establishing that qualitative integrals (including Sugeno integrals) are lower and /or upper possibilistic expectations wrt a possibility measure, while qualitative desintegrals are upper or lower possibilistic expectations wrt a guaranteed possibility measure. The results are presented in a finite qualitative setting, and apply to multiple criteria aggregation or decision under uncertainty. © 2013. The authors-Published by Atlantis Press.	en_US
dc.relation.ispartof	8th Conference of the European Society for Fuzzy Logic and Technology, EUSFLAT 2013 - Advances in Intelligent Systems Research	en_US
dc.title	Qualitative integrals and desintegrals as lower and upper possibilistic expectations	en_US
dc.type	Conference Proceeding
utslib.citation.volume	32	en_US
utslib.for	0802 Computation Theory and Mathematics	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	open_access
pubs.publication-status	Published	en_US
pubs.volume	32	en_US

Abstract:

Any capacity (i.e., an increasing set function) has been proved to be a lower possibility measure and an upper necessity measure. Similarly, it is shown that any anti-capacity (i.e., a decreasing set function) can be viewed both as an upper guaranteed possibility measure and as a lower weak necessity measure. These results are the basis for establishing that qualitative integrals (including Sugeno integrals) are lower and /or upper possibilistic expectations wrt a possibility measure, while qualitative desintegrals are upper or lower possibilistic expectations wrt a guaranteed possibility measure. The results are presented in a finite qualitative setting, and apply to multiple criteria aggregation or decision under uncertainty. © 2013. The authors-Published by Atlantis Press.

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http://hdl.handle.net/10453/32899