The use of hesitant fuzzy linguistic term sets (HFLTS) contributes to the elicitation of comparative linguistic expressions (CLEs) in decision contexts when experts hesitate among different linguistic terms to provide their assessments. Since the existing representation models for linguistic expressions based on HFLTS do not properly consider the uncertainty caused by the inherent vagueness of such linguistic expressions, it is necessary to improve their modeling to cope with such vagueness. In this paper, we propose a new fuzzy envelope for the HFLTS in form of type-2 fuzzy sets for representing CLEs. Such an envelope overcomes the limitation of existing representations in coping with inherent uncertainties and facilitates the processes of computing with words for linguistic decision making problems dealing with CLEs.

中文翻译：

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犹豫模糊语言项集的Type-2模糊包络：一种新的比较语言表达表示模型

当专家在不同语言术语之间犹豫以提供他们的评估时，犹豫模糊语言术语集 (HFLTS) 的使用有助于在决策上下文中引出比较语言表达式 (CLE)。由于现有的基于 HFLTS 的语言表达表示模型没有适当考虑此类语言表达固有的模糊性所带来的不确定性，因此有必要改进其建模以应对这种模糊性。在本文中，我们以类型 2 模糊集的形式为 HFLTS 提出了一种新的模糊包络，用于表示 CLE。这种信封克服了现有表示在应对固有不确定性方面的局限性，并促进了用词计算处理 CLE 的语言决策问题的过程。