We present in this paper some properties of k-Lipschitz quasi-arithmetic means. The Lipschitz aggregation operations are stable with respect to input inaccuracies, what is a very important property for applications. Moreover, we provide sufficient conditions to determine when a quasi–arithemetic mean holds the k-Lipschitz property and allow us to calculate the Lipschitz constant k.
History
Event
International Fuzzy Systems Association World Congress and 2009 European Society for Fuzzy Logic and Technology Conference (2009 : Lisbon, Portugal)
Pagination
1370 - 1375
Publisher
EUSFLAT
Location
Lisbon, Portugal
Place of publication
[Lisbon, Portugal]
Start date
2009-07-20
End date
2009-07-24
ISBN-13
9789899507968
Language
eng
Notes
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Publication classification
E1 Full written paper - refereed
Copyright notice
2009, EUSFLAT
Editor/Contributor(s)
J Carvalho, D Dubois, U Kaymak, J Sousa
Title of proceedings
IFSA-EUSFLAT 2009 : Proceedings of the 2009 International Fuzzy Systems Association World Congress and 2009 European Society for Fuzzy Logic and Technology Conference