Characterizations of discrete Sugeno integrals as polynomial functions over distributive lattices
Marichal, Jean-Luc; Couceiro, Miguel (2010), Characterizations of discrete Sugeno integrals as polynomial functions over distributive lattices, Fuzzy Sets and Systems, 161, 5, p. 694-707. http://dx.doi.org/10.1016/j.fss.2009.10.008
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Article accepté pour publication ou publiéLien vers un document non conservé dans cette base
http://arxiv.org/abs/0808.2619Date
2010Nom de la revue
Fuzzy Sets and SystemsVolume
161Numéro
5Éditeur
Elsevier
Pages
694-707
Identifiant publication
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We give 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.Mots-clés
Discrete Sugeno integral; Distributive lattice; Lattice polynomial function; Normal form; Median decomposition; Homogeneity; Functional equationPublications associées
Affichage des éléments liés par titre et auteur.
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Marichal, Jean-Luc; Couceiro, Miguel (2009) Communication / Conférence
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Marichal, Jean-Luc; Couceiro, Miguel (2010) Article accepté pour publication ou publié
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Marichal, Jean-Luc; Couceiro, Miguel (2012) Article accepté pour publication ou publié
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Marichal, Jean-Luc; Couceiro, Miguel (2011) Article accepté pour publication ou publié
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Marichal, Jean-Luc; Couceiro, Miguel (2010) Article accepté pour publication ou publié