Characterizations of discrete Sugeno integrals as polynomial functions over distributive lattices
Rings and Algebras
2010-01-07 v3 Combinatorics
Abstract
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 minimum and maximum functions, and present their characterizations, accordingly. Moreover, we discuss normal form representations of these functions.
Keywords
Cite
@article{arxiv.0808.2619,
title = {Characterizations of discrete Sugeno integrals as polynomial functions over distributive lattices},
author = {Miguel Couceiro and Jean-Luc Marichal},
journal= {arXiv preprint arXiv:0808.2619},
year = {2010}
}