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Some results on Lipschitz quasi-arithmetic means

Beliakov, Gleb, Calvo, Tomasa and James, Simon 2009, Some results on Lipschitz quasi-arithmetic means, in IFSA-EUSFLAT 2009 : Proceedings of the 2009 International Fuzzy Systems Association World Congress and 2009 European Society for Fuzzy Logic and Technology Conference, EUSFLAT, [Lisbon, Portugal], pp. 1370-1375.

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Title Some results on Lipschitz quasi-arithmetic means
Author(s) Beliakov, Gleb
Calvo, Tomasa
James, Simon
Conference name International Fuzzy Systems Association World Congress and 2009 European Society for Fuzzy Logic and Technology Conference (2009 : Lisbon, Portugal)
Conference location Lisbon, Portugal
Conference dates 20 - 24 July 2009
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
Editor(s) Carvalho, J. P.
Dubois, D.
Kaymak, U.
Sousa, J. M. C.
Publication date 2009
Conference series International Fuzzy Systems Association World Congress and European Society for Fuzzy Logic and Technology Conference
Start page 1370
End page 1375
Publisher EUSFLAT
Place of publication [Lisbon, Portugal]
Keyword(s) k-Lipschitz aggregation functions
Quasi-arithmetic means
Stability
Triangular norms
Summary 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.
Notes This article is located on 1392nd page in the attached link.
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ISBN 9789899507968
Language eng
Field of Research 080108 Neural, Evolutionary and Fuzzy Computation
Socio Economic Objective 970108 Expanding Knowledge in the Information and Computing Sciences
HERDC Research category E1 Full written paper - refereed
Copyright notice ©2009, EUSFLAT
Persistent URL http://hdl.handle.net/10536/DRO/DU:30028314

Document type: Conference Paper
Collections: School of Information Technology
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