  How to express an expert's or a decision maker's preference for alternatives
is an open issue. Consistent fuzzy preference relation (CFPR) is with big
advantages to handle this problem due to it can be construed via a smaller
number of pairwise comparisons and satisfies additive transitivity property.
However, the CFPR is incapable of dealing with the cases involving uncertain
and incomplete information. In this paper, a D numbers extended consistent
fuzzy preference relation (D-CFPR) is proposed to overcome the weakness. The
D-CFPR extends the classical CFPR by using a new model of expressing uncertain
information called D numbers. The D-CFPR inherits the merits of classical CFPR
and can be totally reduced to the classical CFPR. This study can be integrated
into our previous study about D-AHP (D numbers extended AHP) model to provide a
systematic solution for multi-criteria decision making (MCDM).
