Aiming at the multi-attribute large group decision-making, this paper presents the superior set of candidates and
Pareto valid probability and then discusses the characteristics of them. The results show that the candidate set may not be zero
only if it is the Pareto solution. This paper takes candidate’s Pareto valid probability as the priori probability distribution of
“optimal decision” and then corrects them using the posterior probability in Bayes formula and experts’ decisions in groups.
As a result, the candidate with the largest probability of “optimal decision” can be achieved. This method avoids finding
a subjective aggregation rules after taking full advantage of the information from experts in group decision-making. More
experts in groups can make the more accurate result when reducing subjective factors in decision-making process and taking
each expert’s decision as an independent random experiment. Finally, a numerical example shows the effectiveness of the
proposed method.