×

Corrigendum and addendum to “Universal algebra for general aggregation theory”. (English) Zbl 1319.91068

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

Citations:

Zbl 1319.91069
PDFBibTeX XMLCite
Full Text: DOI