Journal
DISCRETE MATHEMATICS
Volume 309, Issue 4, Pages 814-820Publisher
ELSEVIER SCIENCE BV
DOI: 10.1016/j.disc.2008.01.019
Keywords
Weighted lattice polynomial; Lattice polynomial; Bounded distributive lattice; Discrete Sugeno integral
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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. (C) 2008 Elsevier B.V.. All rights reserved.
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