The possibility distribution-based approach is one of the powerful tools available to manage hesitant fuzzy linguistic term set (HFLTS) information. However, existing possibility distribution studies have not considered the experts’ satisfied preference for HFLTSs in the process of generating the possibility distribution. This paper aims at filling this research gap. To achieve this goal, a novel possibility distribution generation method based on the concept of linguistic quantifier is proposed. This is accomplished by defining a new attitude linguistic quantifier, which is supported with theoretical results to analyze the relationship between the proposed attitude linguistic quantifier with the original linguistic quantifier, attitude indices and the expected linguistic term. The new possibility distribution generation method is proved to be (1) more general than the two main existing approaches, which are particular cases for specific linguistic quantifiers; and (2) useful to implement the concept of soft majority in the resolution process of the decision making situation. Additionally, a new two stages feedback mechanism of attitude adjustment and assessment adjustment is devised to guarantee the convergence of the consensus reaching process. Finally, a framework of group decision making with HFLTSs information is presented and an illustrative example is conducted to verify the proposed method.

基于可能性分布的方法是可用于管理犹豫的模糊语言术语集（HFLTS）信息的强大工具之一。但是，现有的可能性分布研究并未考虑专家在生成可能性分布的过程中对HFLTS的满意偏好。本文旨在填补这一研究空白。为了实现这一目标，提出了一种基于语言量词概念的可能性分布生成方法。这是通过定义一个新的态度语言量词完成的，并得到理论结果的支持，以分析所提议的态度语言量词与原始语言量词，态度指数和预期语言术语之间的关系。事实证明，新的可能性分布生成方法（1）比现有的两种主要方法更具通用性，这是特定语言量词的特殊情况；（2）有助于在决策情况的解决过程中实施软多数的概念。此外，设计了一种新的两阶段的态度调整和评估调整反馈机制，以确保共识达成过程的收敛。最后，提出了一种基于HFTSS信息的群体决策框架，并通过一个示例进行了验证。（2）有助于在决策情况的解决过程中实施软多数的概念。此外，设计了一种新的两阶段的态度调整和评估调整反馈机制，以确保共识达成过程的收敛。最后，提出了一种基于HFTSS信息的群体决策框架，并通过一个示例进行了验证。（2）有助于在决策情况的解决过程中实施软多数的概念。此外，设计了一种新的两阶段的态度调整和评估调整反馈机制，以确保共识达成过程的收敛。最后，提出了一种基于HFTSS信息的群体决策框架，并通过一个示例性例子验证了所提出的方法。