关键词: 判断矩阵, 一致性检验, 专家权重, 欧氏距离, 灰色关联度, 相对距离

Abstract: The degree of consistency of judgment matrix can reflect the level of consistency of expert thinking, which is an important factor to determine the weight of experts based on judgment matrix. Aiming at the problem that the traditional Euclidean distance method is not concerned with the relative difference between elements, and the measure of similarity degree (or degree of difference) is easy to be affected by the 1-9 scale, the expert weight determination method based on the consistency degree of judgment matrix was studied. The expert weight determination method based on Euclidean distance and grey correlation degree was proposed, and the method of expert weight determination based on relative distance was also proposed. In the former, the relative value of the consistency degree of the expert judgment matrix was calculated by introducing the grey correlation degree; and in the latter, the relative distance method was used to reduce the influence of 1-9 scale. In the example analysis, it is proved that the order of expert weighting obtained by the two proposed methods is reasonable compared with the traditional Euclidean distance method, and the different characteristics of the proposed methods are analyzed, which provides reference for the method selection in practical application in the future.

Key words: judgment matrix, consistency test, expert weight, Euclidean distance, grey relational degree, relative distance