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
TypeArticle accepté pour publication ou publié
External document linkhttp://arxiv.org/abs/0808.2619
Journal nameFuzzy Sets and Systems
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Abstract (EN)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.
Subjects / KeywordsDiscrete Sugeno integral; Distributive lattice; Lattice polynomial function; Normal form; Median decomposition; Homogeneity; Functional equation
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