Individual Decisions Affected by Group Decision Based on Surely Assigned Weight

摘要

Different models to obtain the group weights of alternatives from a group of pairwise comparison matrices have been proposed. The interest of this paper is to induce the individual weights rather than the group weights. Therefore, we propose the model to obtain the individual weights that a decision maker alone cannot find. The individual weights consider the group weights, as well as his/her comparisons, since it is not sure how well the comparisons represent a decision maker's thinking. The degree of the group influence on individual revisions is based on the group reliability, which is the sum of the group weights of all alternatives. By agreement, the group weight should be the minimum of all decision makers' weights. In inducing the individual weights, this paper reconsiders the inconsistency among the comparisons; it stems from ignorance of the weight in a decision maker's mind. In addition to the weight surely assigned to each alternative, the unknown weight possibly shared by all alternatives is considered to reflect the inconsistency into it.