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On weak monotonicity of some mixture functions

Calvo, Tomasa, Beliakov, Gleb and Wilkin, Tim 2014, On weak monotonicity of some mixture functions, in ESTYLF 2014 : Proceedings of the 17th Spanish Congress on Fuzzy Logic and Technology, European Society for Fuzzy Logic and Technology, Zaragoza, Spain, pp. 297-302.

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Title On weak monotonicity of some mixture functions
Author(s) Calvo, Tomasa
Beliakov, GlebORCID iD for Beliakov, Gleb orcid.org/0000-0002-9841-5292
Wilkin, TimORCID iD for Wilkin, Tim orcid.org/0000-0003-4059-1354
Conference name Fuzzy Logic and Technology. Spanish Congress (XVII : 2014 : Zaragoza, Spain)
Conference location Zaragoza, Spain
Conference dates 5-7 Feb. 2014
Title of proceedings ESTYLF 2014 : Proceedings of the 17th Spanish Congress on Fuzzy Logic and Technology
Editor(s) Bobillo,F
Bustince,H
Fernandez,F
Herrera-Viedma,E
Publication date 2014
Conference series Spanish Congress on Fuzzy Logic and Technology
Start page 297
End page 302
Total pages 6
Publisher European Society for Fuzzy Logic and Technology
Place of publication Zaragoza, Spain
Summary Monotonicity with respect to all arguments is fundamental to the definition of aggregation functions. Here we study means that are not necessarily monotone. Weak monotonicity was recently proposed as a relaxation of the monotonicity condition for averaging functions. We provide results for the weak monotonicity of some importantclasses of mixture functions. With these results we are able to extend and improve the understanding of this very important class of functions.
ISBN 9788415688761
Language eng
Field of Research 080108 Neural, Evolutionary and Fuzzy Computation
Socio Economic Objective 970101 Expanding Knowledge in the Mathematical Sciences
HERDC Research category E1 Full written paper - refereed
ERA Research output type E Conference publication
Copyright notice ©2014, The Authors
Persistent URL http://hdl.handle.net/10536/DRO/DU:30071089

Document type: Conference Paper
Collections: School of Information Technology
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Every reasonable effort has been made to ensure that permission has been obtained for items included in DRO. If you believe that your rights have been infringed by this repository, please contact drosupport@deakin.edu.au.