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Pseudo-polynomial functions over finite distributive lattices

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Date
2011
Link to item file
http://arxiv.org/abs/1110.1811
Dewey
Recherche opérationnelle
Sujet
distributive lattice; factorization; pseudo-polynomial function; Sugeno utility function; Sugeno integral
Conference name
ECSQARU 2011
Conference date
06-2011
Conference city
Belfast
Conference country
Royaume-Uni
Book title
Lecture Notes in Artificial Intelligence
Author
Weiru, Liu
Publisher
Springer
Year
2011
ISBN
978-3-642-22151-4
URI
https://basepub.dauphine.fr/handle/123456789/10281
Collections
  • LAMSADE : Publications
Metadata
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Author
Waldhauser, Tamás
Couceiro, Miguel
Type
Communication / Conférence
Item number of pages
545-556
Abstract (EN)
In this paper we consider an aggregation model f: X1 x ... x Xn --> Y for arbitrary sets X1, ..., Xn and a finite distributive lattice Y, factorizable as f(x1, ..., xn) = p(u1(x1), ..., un(xn)), where p is an n-variable lattice polynomial function over Y, and each uk is a map from Xk to Y. The resulting functions are referred to as pseudo-polynomial functions. We present an axiomatization for this class of pseudo-polynomial functions which differs from the previous ones both in flavour and nature, and develop general tools which are then used to obtain all possible such factorizations of a given pseudo-polynomial function.

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