31 citations · 317 across the 62 of their papers we have counts for
5 papers · 2 filters
Pseudo-polynomial functions over finite distributive lattices
Miguel Couceiro, Tamás Waldhauser
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),…
A generalization of Goodstein's theorem: interpolation by polynomial functions of distributive lattices
Miguel Couceiro, Tamás Waldhauser
We consider the problem of interpolating functions partially defined over a distributive lattice, by means of lattice polynomial functions. Goodstein's theorem solves a particular…
Aczélian n-ary semigroups
Miguel Couceiro, Jean-Luc Marichal
We show that the real continuous, symmetric, and cancellative n-ary semigroups are topologically order-isomorphic to additive real n-ary semigroups. The binary case (n=2) was origi…
On the arity gap of polynomial functions
Miguel Couceiro, Erkko Lehtonen, Tamás Waldhauser
The authors' previous results on the arity gap of functions of several variables are refined by considering polynomial functions over arbitrary fields. We explicitly describe the p…
Axiomatizations and factorizations of Sugeno utility functions
Miguel Couceiro, Tamás Waldhauser
In this paper we consider a multicriteria aggregation model where local utility functions of different sorts are aggregated using Sugeno integrals, and which we refer to as Sugeno…