This paper presents a consensus model in group decision making under l
inguistic assessments. It is based on the use of linguistic preference
s to provide individuals' opinions, and on the use of fuzzy majority o
f consensus, represented by means of a linguistic quantifier. Several
linguistic consensus degrees and linguistic distances are defined, act
ing on three levels. The consensus degrees indicate how far a group of
individuals is from the maximum consensus, and linguistic distances i
ndicate how far each individual is from current consensus labels over
the preferences. This consensus model allows to incorporate more human
consistency in decision support systems.