In this paper a class of voting procedures, located between simple and unan
imous majorities, is introduced and characterized. Given two alternatives,
the winning alternative is the one with a number of votes exceeding that ob
tained by the other in a previously fixed quantity. Moreover, a subclass of
these voting procedures has been considered, by demanding additionally a n
umber of votes greater than a previously fixed threshold. The main results
of this paper are characterizations of these voting procedures through aggr
egation functions of fuzzy preferences associated with quasiarithmetic mean
s and ordered weighted averaging (OWA) operators. (C) 2001 Elsevier Science
B.V. All rights reserved.