Optimal Weight Determination and Consensus Formation under Fuzzy Linguistic Environment

This paper deals with the consensus problem from the linguistic preference relations. The linguistic variables are transformed into triangular fuzzy numbers. Then an optimal consensus model is proposed to derive weights for fuzzy triangular fuzzy preference relations. An iterative algorithm is presented to describe the consensus reaching process. By changing the weights and modifying a pair of individual's comparison judgments which have largest deviation value to the group judgments, the consensus reaching process can terminate while both individual consensus index (ICI) and group consensus index (GCI) are controlled with predefined thresholds. The algorithm aims to preserve the decision-makers’ original information as much as possible. Finally, an example is given to show the effectiveness of the proposed method.