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arXiv · 0706.0570

Weighted lattice polynomials

Jean-Luc Marichal
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Abstract

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.

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Jean-Luc Marichal. 2008-01-15. Weighted lattice polynomials. https://arxiv.org/abs/0706.0570

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