Generalized Sugeno integrals

Dubois, D; Prade, H; Rico, A; Teheux, B

Generalized Sugeno integrals

Dubois, D Prade, H

Rico, A Teheux, B

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Publication Type:: Conference Proceeding
Citation:: Communications in Computer and Information Science, 2016, 610 pp. 363 - 374
Issue Date:: 2016-01-01

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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.contributor.author	Teheux, B	en_US
dc.date.issued	2016-01-01	en_US
dc.identifier.citation	Communications in Computer and Information Science, 2016, 610 pp. 363 - 374	en_US
dc.identifier.isbn	9783319405957	en_US
dc.identifier.issn	1865-0929	en_US
dc.identifier.uri	http://hdl.handle.net/10453/120405
dc.description.abstract	© Springer International Publishing Switzerland 2016. Sugeno integrals are aggregation functions defined on a qualitative scale where only minimum, maximum and order-reversing maps are allowed. Recently, variants of Sugeno integrals based on Gödel implication and its contraposition were defined and axiomatized in the setting of bounded chain with an involutive negation. This paper proposes a more general approach. We consider totally ordered scales, multivalued conjunction operations not necessarily commutative, and implication operations induced from them by means of an involutive negation. In such a context, different Sugeno-like integrals are defined and axiomatized.	en_US
dc.relation.ispartof	Communications in Computer and Information Science	en_US
dc.relation.isbasedon	10.1007/978-3-319-40596-4_31	en_US
dc.title	Generalized Sugeno integrals	en_US
dc.type	Conference Proceeding
utslib.citation.volume	610	en_US
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
pubs.volume	610	en_US

Abstract:

© Springer International Publishing Switzerland 2016. Sugeno integrals are aggregation functions defined on a qualitative scale where only minimum, maximum and order-reversing maps are allowed. Recently, variants of Sugeno integrals based on Gödel implication and its contraposition were defined and axiomatized in the setting of bounded chain with an involutive negation. This paper proposes a more general approach. We consider totally ordered scales, multivalued conjunction operations not necessarily commutative, and implication operations induced from them by means of an involutive negation. In such a context, different Sugeno-like integrals are defined and axiomatized.

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http://hdl.handle.net/10453/120405