【摘要】 基于概率对偶犹豫模糊语言集、区间数、不确定语言术语和优先集结算子研究了属性间存在优先关系的概率区间对偶犹豫模糊不确定语言多属性决策问题。首先，提出了概率区间对偶犹豫模糊不确定语言集，并给出了概率区间对偶犹豫模糊不确定语言数的运算法则、得分函数和精确函数。然后，根据优先集结算子和概率区间对偶犹豫模糊不确定语言集提出了概率区间对偶犹豫模糊不确定语言优先加权平均算子和概率区间对偶犹豫模糊不确定语言优先加权几何算子。最后，根据概率区间对偶犹豫模糊不确定语言优先集结算子构建多属性决策模型，并通过了具体案例进行验证分析。更多还原

【Abstract】 Based on the probabilistic dual hesitant fuzzy linguistic set, interval number, uncertain linguistic terms and prioritized aggregation operator, the probabilistic interval dual hesitant fuzzy uncertain linguistic multi-attribute decision-making problem with prioritized relations between attributes is studied. Firstly, the probabilistic interval dual hesitant fuzzy uncertain linguistic set is proposed, and the algorithm, score function and exact function of the probabilistic interval dual hesitant fuzzy uncertain linguistic number are given. Secondly, according to the prioritized aggregation operator and the probabilistic interval dual hesitant fuzzy uncertain linguistic set, the probabilistic interval dual hesitant fuzzy uncertain linguistic prioritized weighted average operator and the probabilistic interval dual hesitant fuzzy uncertain linguistic prioritized weighted geometric operator are proposed. Finally, a multi-attribute decision-making model is constructed based on the probabilistic interval dual hesitant fuzzy uncertain linguistic prioritized aggregation operator, and through specific cases for verification and analysis.更多还原