To successfully solve complex real-world problems, decision makers with broad knowledge and experience should be involved in the decision-making process. In this paper, we address the question of how to determine weights of decision makers. The aim of our study is to propose a new approach that derives objective weights for decision makers based on projection method, which emphasizes their agreement by assigning higher weights to similar opinions. The new projection method DProj is specifically adapted for Decision Making Trial and Evaluation Laboratory (DEMATEL), which allows to determine the relationship between cause and effect factors of the system, while we show that some projection methods from the literature are not suitable for DEMATEL. To validate DProj-DEMATEL, we performed two analyses based on Manhattan and Euclidean distances on three examples from the literature. The validation results show that DProj-DEMATEL is a reliable method that can contribute to satisfactory group decision making.

为了成功解决复杂的现实问题，具有广泛知识和经验的决策者应该参与决策过程。在本文中，我们解决了如何确定决策者权重的问题。我们研究的目的是提出一种基于预测方法为决策者得出客观权重的新方法，该方法通过为相似的意见分配更高的权重来强调他们的同意。新的投影方法DProj专门适用于决策试验与评估实验室（DEMATEL），它可以确定系统的因果因素之间的关系，同时我们表明文献中的一些投影方法不适合DEMATEL。为了验证 DProj-DEMATEL，我们对文献中的三个示例基于曼哈顿距离和欧几里得距离进行了两项分析。验证结果表明，DProj-DEMATEL 是一种可靠的方法，有助于做出令人满意的群体决策。