literature on aggregation of fuzzy preferences. We restrict ourselves to “pure aggregation” theory and, accordingly, do not cover …Fuzzy set theory has been explicitly introduced to deal with vagueness and ambiguity. One can also use probability … theory or techniques borrowed from philosophical logic. In this chapter, we consider fuzzy preferences and we survey the …

The relationship between propositional model theory and social decision making via premise-based procedures is explored …-respecting, systematic judgment aggregation functions is established. The proof constructs an ultraproduct of profiles, viewed as … other properties of such judgment aggregation functions, in particular sovereignty and monotonicity, as well as an …

Judgment (or logical) aggregation theory is logically more powerful than social choice theory and has been put to use … aggregation theory developed by Dokow and Holzman (2010c). This application involves aggregating classifications (specifically … aggregation theory to a more general one …

It is well known that the literature on judgment aggregation inherits the impossibility results from the aggregation of … preferences that it generalises. This is due to the fact that the typical judgment aggregation problem induces an ultrafilter on … with free ultrafilters in the literature on aggregation problems is however, the arbitrariness of their selection combined …

theorem and Fishburn's possibility theorem. The proof methodology is based on a model-theoretic approach to aggregation theory … there exist nondictatorial aggregation functions of convex risk measures satisfying Arrow-type rationality axioms (weak …'s impossibility theorem for finite electorates. For infinite electorates, the possibility of rational aggregation depends on a uniform …

This article proves a very general version of the Kirman-Sondermann [Journal of Economic Theory, 5(2):267-277, 1972 …]. The paper first proposes a unified framework for the analysis of the relation between various aggregation problems and the … social structure they induce, based on first-order predicate logic and model theory. Thereafter, aggregators satisfying Arrow …