This paper develops a novel multi-criteria group decision-making method for resolving single-valued neutrosophic group decision-making problems with unknown weight information. Firstly, considering the different knowledge backgrounds of decision-makers (DMs), two distance-based methods are developed to obtain the weights of DMs and criteria. One of these methods focuses on the closeness between the decision matrix given by an individual DM and that of the group judgment, and the proximity between the decision matrix given by an individual DM and the matrices given by all the other DMs to determine the weights of DMs with respect to each criterion. The other method extends the maximizing deviation method to objectively obtain the weights of criteria. Secondly, an extended ELECTRE (ELimination Et Choix Traduisant la REalité) II is investigated to effectively circumvent the issue that criteria cannot compensate for each other. In this method, three levels of concordance and discordance sets are constructed to fully denote the underlying preference information and specify the outranking degrees of alternatives. Finally, two illustrative examples are presented to demonstrate the feasibility of the proposed approach, followed by a sensitivity analysis and a comparative analysis to test its robustness and effectiveness.

中文翻译：

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单值中智ELECTRE II，用于未知重量信息的多准则群体决策

本文开发了一种新颖的多准则群决策方法，用于解决权重信息未知的单值中智团决策问题。首先，考虑决策者的不同知识背景，开发了两种基于距离的方法来获取决策者的权重和准则。这些方法之一着眼于单个DM给出的决策矩阵与群体判断的决策矩阵之间的接近度，以及单个DM给出的决策矩阵与所有其他DM给出的矩阵之间的接近度，以确定权重。 DM关于每个标准。另一种方法扩展了最大偏差方法，以客观地获得标准的权重。其次，研究了扩展的ELECTRE（消除种族灭绝行为）II，以有效规避标准不能相互弥补的问题。在这种方法中，构造了三个级别的一致性和不一致集合，以完全表示基础的偏好信息并指定替代项的排名。最后，给出了两个说明性示例，以证明该方法的可行性，然后进行敏感性分析和比较分析，以测试其鲁棒性和有效性。