TY  - GEN
AB  - This paper continues Dietrich and List's [2010] work on propositionalattitude
aggregation theory, which is a generalised unication of the
judgment-aggregation and probabilistic opinion-pooling literatures. We
rst propose an algebraic framework for an analysis of (many-valued)
propositional-attitude aggregation problems. Then we shall show
that systematic propositional-attitude aggregators can be viewed as
homomorphisms in the category of C.C. Chang's [1958] MV-algebras.
Since the 2-element Boolean algebra as well as the real unit interval can be
endowed with an MV-algebra structure, we obtain as natural corollaries
two famous theorems: Arrow's theorem for judgment aggregation as well
as McConway's [1981] characterisation of linear opinion pools.
DA  - 2011
KW  - propositional attitude aggregation
KW  - judgment aggregation
KW  - linear opinion pooling
KW  - Arrow's impossibility theorem
KW  - many-valued logic
KW  - MV-algebra
KW  - homomorphism
KW  - functional equation
LA  - eng
PY  - 2011
SN  - 0931-6558
SP  - 13-
TI  - An algebraic approach to general aggregation theory: Propositional-attitude aggregators as MV-homomorphisms
UR  - https://nbn-resolving.org/urn:nbn:de:0070-pub-29000497
Y2  - 2024-12-25T19:44:58
ER  -