A Consensus Model for Group Decision Making with Incomplete Unbalanced Fuzzy Linguistic Preference Relations

We present a consensus model for group decision mak- ing with unbalanced fuzzy linguistic preference relations, i.e., assum- ing that the preferences are assessed on linguistic term sets whose terms are not symmetrically and uniformly distributed. This con- sensus model can manage incomplete information situations, that is, situations where the experts do not give all the preference values that they are usually requested. In addition, both consistency and consen- sus measures are used and it allows to achieve consistent solutions with a great level of agreement. Keywords— Group decision making, consensus, unbalanced fuzzy linguistic preference relations, incomplete information, con- sistency.