Pseudo-polynomial functions over finite distributive lattices

Authors:
Miguel Couceiro;Tamás Waldhauser
Affiliations:
Mathematics Research Unit, FSTC, University of Luxembourg, 6, rue Coudenhove-Kalergi, L-1359 Luxembourg, Luxembourg and Lamsade-University Paris Dauphine, Place du Maréchal de Lattre de Tassi ...;Mathematics Research Unit, FSTC, University of Luxembourg, 6, rue Coudenhove-Kalergi, L-1359 Luxembourg, Luxembourg and Bolyai Institute, University of Szeged, Aradi vértanúk tere 1, H-6 ...
Venue:
Fuzzy Sets and Systems
Year:
2014

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Abstract

In this paper we extend the authors' previous works by considering a multi-attribute aggregation model based on a composition of a polynomial function over a finite distributive lattice with local utility functions; these 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.