Reference : Characterizations of discrete Sugeno integrals as polynomial functions over distribut...
Scientific journals : Article
Physical, chemical, mathematical & earth Sciences : Mathematics
http://hdl.handle.net/10993/2830
Characterizations of discrete Sugeno integrals as polynomial functions over distributive lattices
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 >]
1-Mar-2010
Fuzzy Sets & Systems
Elsevier Science
161
5
Non-Additive Measures Algebra
694-707
Yes (verified by ORBilu)
International
0165-0114
Amsterdam
The Netherlands
[en] discrete Sugeno integral ; distributive lattice ; lattice polynomial function ; normal form ; median decomposition ; homogeneity ; functional equation
[en] We discuss several characterizations of discrete Sugeno integrals over bounded distributive lattices as particular cases of lattice polynomial functions, that is, functions which can be represented in the language of bounded lattices using variables and constants. We also consider the subclass of term functions as well as the classes of symmetric polynomial functions and weighted infimum and supremum functions, and present their characterizations, accordingly. Moreover, we discuss normal form representations of these functions.
http://hdl.handle.net/10993/2830
10.1016/j.fss.2009.10.008
http://arxiv.org/abs/0808.2619

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