In real world, a typical decision-making problem in the medical field can be seen as an uncertain hesitant fuzzy multiattribute decision-making problem when existing experiences of decision-makers are insufficient. A three-way decision model is an effective tool to deal with uncertain decision-making problems, which can realize the classification of objects. However, different psychological behaviors of decision-makers are likely to affect decision-making results in actual decision-making processes. In order to address this challenge, we first propose a regret-theory-based three-way decision model in hesitant fuzzy environments, which mainly combines regret theory with hesitant fuzzy sets to calculate the perceived utility value of objects. Second, since one of the core ingredients for regret theory is the regret–rejoice function, we put forward a new regret–rejoice function that preserves the original indecisive uncertainty in hesitant fuzzy environments. In addition, according to the inherent relationship of the used data, this article provides a three-way classification method based on the preference ranking organization method for enrichment evaluations I method. Finally, the practicability, rationality, and superiority of the proposed method are shown via the case analysis and comparative analysis in the medical field.

中文翻译：

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犹豫模糊环境下基于后悔理论的三支决策模型及其在医疗决策中的应用


在现实世界中，医学领域的典型决策问题可以看作是决策者现有经验不足时的不确定犹豫模糊多属性决策问题。三支决策模型是处理不确定决策问题的有效工具，可以实现对象的分类。然而，在实际决策过程中，决策者不同的心理行为很可能会影响决策结果。为了应对这一挑战，我们首先提出了犹豫模糊环境中基于后悔理论的三向决策模型，该模型主要将后悔理论与犹豫模糊集相结合来计算对象的感知效用价值。其次，由于后悔理论的核心要素之一是后悔-高兴函数，我们提出了一种新的后悔-高兴函数，该函数在犹豫的模糊环境中保留了原始的优柔寡断的不确定性。此外，根据所使用数据的内在关系，本文提出了一种基于偏好排序组织法的三向分类方法，用于富集评价I法。最后通过医学领域的案例分析和比较分析，证明了该方法的实用性、合理性和优越性。