Pseudo-polynomial functions over finite distributive lattices

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.
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Submitted on : Saturday, February 18, 2017 - 3:14:07 PM
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Miguel Couceiro, Tamas Waldhauser. Pseudo-polynomial functions over finite distributive lattices. Fuzzy Sets and Systems, Elsevier, 2014, 239, pp.21-34. ⟨10.1016/j.fss.2012.09.007⟩. ⟨hal-01090562⟩

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