Three-way decision (TWD) theory offers a novel paradigm for solving hesitant fuzzy multi-attribute decision-making problems. However, many existing TWD approaches follow the principle of minimum risk, thereby overlooking the influence of the psychological factors of decision-makers (DMs) on decision outcomes when faced with losses and gains. To address this challenge, we propose a behavioral three-way multi-attribute decision-making method with hesitant fuzzy information via hesitant fuzzy TODIM. The proposed method encompasses two key features. One is that the relative utility functions based on the dominance degree are constructed, aiming to portray the psychological behaviors of DMs. The other is the development of an objective calculation of weighted conditional probabilities, achieved without relying on a state set and a binary relation. The feasibility of the proposed method is verified by two numerical examples, one on software selection and the other from the UCI database. The results of the multi-aspect comparative analysis demonstrate that the proposed method exhibits good performance in terms of ranking and classification. Moreover, the experimental results indicate the effectiveness and applicability of the presented method.

中文翻译：

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BTWM-HF：一种具有犹豫模糊信息的行为三向多属性决策方法

三支决策（TWD）理论为解决犹豫模糊多属性决策问题提供了一种新颖的范式。然而，许多现有的TWD方法遵循最小风险原则，从而忽视了决策者（DM）在面临损失和收益时的心理因素对决策结果的影响。为了应对这一挑战，我们通过犹豫模糊 TODIM 提出了一种具有犹豫模糊信息的行为三向多属性决策方法。所提出的方法包含两个关键特征。一是构建基于支配度的相对效用函数，旨在刻画DM的心理行为。另一个是开发加权条件概率的客观计算，无需依赖状态集和二元关系即可实现。通过两个数值算例验证了该方法的可行性，一个是软件选择的算例，另一个是UCI数据库的算例。多方面比较分析的结果表明，该方法在排序和分类方面表现出良好的性能。此外，实验结果表明了该方法的有效性和适用性。