Reference : Weighted lattice polynomials
Scientific journals : Article
Physical, chemical, mathematical & earth Sciences : Mathematics
http://hdl.handle.net/10993/1191
Weighted lattice polynomials
English
Marichal, Jean-Luc mailto [University of Luxembourg > Faculty of Science, Technology and Communication (FSTC) > Mathematics Research Unit >]
6-Mar-2009
Discrete Mathematics
Elsevier Science
309
4
814-820
Yes (verified by ORBilu)
International
0012-365X
Amsterdam
The Netherlands
[en] weighted lattice polynomial ; lattice polynomial ; bounded distributive lattice ; discrete Sugeno integral
[en] We define the concept of weighted lattice polynomial functions as lattice polynomial functions constructed from both variables and parameters. We provide equivalent forms of these functions in an arbitrary bounded distributive lattice. We also show that these functions include the class of discrete Sugeno integrals and that they are characterized by a median based decomposition formula.
Mathematics Research Unit (FSTC)
University of Luxembourg - UL
Researchers ; Professionals ; Students
http://hdl.handle.net/10993/1191
10.1016/j.disc.2008.01.019
http://arxiv.org/abs/0706.0570

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