Herzberg, Frederik Corrigendum and addendum to “Universal algebra for general aggregation theory”. (English) Zbl 1319.91068 J. Log. Comput. 25, No. 3, 979-982 (2015). Summary: In a recent paper [the author, ibid. 25, No. 3, 965–977 (2015; Zbl 1319.91069)], 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. MSC: 91B14 Social choice 03B50 Many-valued logic 06D35 MV-algebras Keywords:propositional attitude aggregation; probabilistic opinion pooling; fuzzy logic; standard MV-algebra; homomorphism; Cauchy’s functional equation; projection; direct product Citations:Zbl 1319.91069 PDFBibTeX XMLCite \textit{F. Herzberg}, J. Log. Comput. 25, No. 3, 979--982 (2015; Zbl 1319.91068) Full Text: DOI