Probabilistic linguistic term set (PLTS) provides a flexible and comprehensive approach to reflecting qualitative information about decision makers (DMs) by fusing linguistic terms and probability distributions. This fusion makes PLTS an important focus of fuzzy decision theory. Dealing with uncertainty and ambiguity has always been a major challenge in the group decision-making (GDM) process, and PLTS provides a versatile and effective approach to address these issues. PLTS is able to more accurately represent the preferences and opinions of the DMs, thus improving the accuracy and consistency of decision-making, thereby improving the accuracy and consistency of decision-making. Therefore, the application of PLTSs in GDM (PLTS-GDM) has attracted more and more attention and shown great potential. In this paper, we provide a comprehensive overview of the underlying theories of PLTS-GDM, the existing approaches and the challenges they face. Specifically, we explore how the PLTS utilizes fuzzy information systems to manage imprecise and ambiguous data to enhance the effectiveness of decision-making. In addition, through an extensive review and analysis of the current literature, we summarize the major advances in the field and identify important gaps in the existing research. Finally, we point out future research directions aimed at addressing these challenges and further advancing the application and development of PLTS-GDM. In summary, this paper provides a valuable resource for scholars and practitioners to help them understand and promote the practical applications of PLTS-GDM.

中文翻译：

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融合概率语言术语集以增强群体决策：基础、调查和挑战


概率语言术语集 （PLTS） 提供了一种灵活而全面的方法，通过融合语言术语和概率分布来反映有关决策者 （DM） 的定性信息。这种融合使 PLTS 成为模糊决策理论的重要焦点。处理不确定性和模糊性一直是集团决策 （GDM） 过程中的主要挑战，而 PLTS 提供了一种通用且有效的方法来解决这些问题。PLTS 能够更准确地代表 DM 的偏好和意见，从而提高决策的准确性和一致性，从而提高决策的准确性和一致性。因此，PLTS 在 GDM （PLTS-GDM） 中的应用引起了越来越多的关注，并显示出巨大的潜力。在本文中，我们全面概述了 PLTS-GDM 的基础理论、现有方法及其面临的挑战。具体来说，我们探讨了 PLTS 如何利用模糊信息系统来管理不精确和模糊的数据，以提高决策的有效性。此外，通过对当前文献的广泛回顾和分析，我们总结了该领域的主要进展，并确定了现有研究中的重要差距。最后，我们指出了旨在应对这些挑战并进一步推进 PLTS-GDM 应用和发展的未来研究方向。综上所述，本文为学者和从业者提供了宝贵的资源，帮助他们理解和推广 PLTS-GDM 的实际应用。