Reference : From discrete Sugeno integrals to generalized lattice polynomial functions: axiomatiz...
Scientific congresses, symposiums and conference proceedings : Paper published in a book
Physical, chemical, mathematical & earth Sciences : Mathematics
http://hdl.handle.net/10993/9588
From discrete Sugeno integrals to generalized lattice polynomial functions: axiomatizations and representations (invited lecture)
English
Couceiro, Miguel mailto [University of Luxembourg > Faculty of Science, Technology and Communication (FSTC) > Mathematics Research Unit >]
Marichal, Jean-Luc mailto [University of Luxembourg > Faculty of Science, Technology and Communication (FSTC) > Mathematics Research Unit >]
2009
Proc. 5th Int. Summer School on Aggregation Operators and their Applications (AGOP 2009)
González, Manuel
Mayor, Gaspar
Suner, Jaume
Torrens, Joan
Edicions UIB. Cas Jai. Campus Universitari
23-29
Yes
Yes
International
978-84-8384-101-3
Universitat de Illes Balears
Spain
5th Int. Summer School on Aggregation Operators and their Applications (AGOP 2009)
from 06-07-2009 to 10-07-2009
Gaspar Mayor
Palma de Mallorca
Spain
[en] Aggregation function ; discrete Sugeno integral ; polynomial function ; quasi-polynomial function ; horizontal maxitivity and minitivity ; comonotonic maxitivity and minitivity ; functional equation
[en] Two emergent properties in aggregation theory are investigated, namely horizontal maxitivity and comonotonic maxitivity (as well as their dual counterparts) which are commonly defined by means of certain functional equations. We present complete descriptions of the function
classes axiomatized by each of these properties, up to weak versions of monotonicity, in the cases of horizontal maxitivity and minitivity. While studying the classes axiomatized by combinations of these properties, we introduce the concept of quasi-polynomial function which appears as a natural extension of the well-established notion of polynomial function. We present further axiomatizations for this class both in terms of functional equations and natural relaxations of homogeneity and median decomposability.
University of Luxembourg - UL
Researchers ; Professionals ; Students
http://hdl.handle.net/10993/9588

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