Corrigendum and addendum to 'Universal algebra for general aggregation theory'

Abstract

In a recent paper [Journal of Logic and Computation, forthcoming (2014); doi:10.1093/logcom/ext009], it was claimed that a universal algebraic approach to general aggregation theory based on MV-homomorphisms could even cover linear probabilistic opinion pooling. This is not so, however. The reason is that there are no non-trivial homomorphisms from direct powers of the standard MV-algebra onto the standard MV-algebra itself; an analytic proof thereof is given in this note.