The complexity of the socio-economic environment requires the involvement of a group of decision makers in the decision-making process. They can contribute the diversity of knowledge and experience that allow all the important aspects of the decision-making problem to be taken into account. In the aggregation process, the weights of the decision makers play an important role. In this paper we have focused on the group analytic hierarchy process (AHP). We emphasized the homogeneity of the opinions of the decision makers as the basis for determining the importance weights of the decision makers. We reviewed the projection method and its upgrades for determining decision makers weights and demonstrated with examples that they are not suitable for application in AHP. We proposed a new symmetric projection method that eliminates the imperfections of the previous projection methods. We proposed a Symmetric Projection Group Approach (SPGA) to derive group weights in AHP. To validate the SPGA, we selected four evaluation measures. The evaluation of the examples shows that the SPGA achieves good evaluation results compared to the other methods for deriving decision makers weights and is suitable for real-world applications.

社会经济环境的复杂性要求一群决策者参与决策过程。他们可以促进知识和经验的多样性，从而使决策问题的所有重要方面都得到考虑。在汇总过程中，决策者的权重发挥着重要作用。在本文中，我们集中于组分析层次结构过程（AHP）。我们强调决策者意见的同质性是确定决策者重要性的基础。我们回顾了用于确定决策者权重的投影方法及其升级，并举例说明了它们不适合在AHP中使用。我们提出了一种新的对称投影方法，该方法消除了以前的投影方法的缺陷。我们提出了一种对称投影群方法（SPGA）来推导AHP中的群权重。为了验证SPGA，我们选择了四种评估方法。对示例的评估表明，与其他推导决策者权重的方法相比，SPGA获得了良好的评估结果，适用于实际应用。