Abstract: For the multi-attribute decision making problem with trigonometric hesitant fuzzy information, based on Einstein operational, a multi-attribute decision making model is proposed on the basis of trigonometric hesitant fuzzy Einstein aggregation algorithm. First, considering the decision information is trigonometric hesitant fuzzy number and the attributes are interrelated, based on the trigonometric hesitant fuzzy operational laws, the Trigonometric Hesitant Fuzzy Weighted Average（THFEWA） operator and the Trigonometric Hesitant Fuzzy Weighted Geometric（THFEWG） operator are presented. Then, for the fact that the ordered position of the hesitant trapezoid fuzzy set has different weights, the Trigonometric Hesitant Fuzzy Ordered Weighted Average（THFEOWA） operator and the Trigonometric Hesitant Fuzzy Ordered Weighted Geometric（THFEOWG） operator are proposed, which is followed by the discussion of their desirable properties. Finally, a new model for multi-attribute decision making is investigated based on the THFEOWA operator and THFEOWG operator, and an example is provided to demonstrate the model’s practicality and effectiveness.

Key words: trigonometric hesitant fuzzy set, Einstein operator, aggregation operator, decision model

摘要： 针对属性信息为三角犹豫模糊信息的多属性决策问题，结合Einstein运算，构建了一种基于三角犹豫模糊Einstein集成算法的多属性决策方法。首先，考虑到决策信息为三角犹豫模糊数且属性间存在一定的内在联系，基于三角犹豫模糊数的运算法则，提出了三角犹豫模糊Einstein加权平均（THFEWA）算子和三角犹豫模糊Einstein加权几何（THFEWG）算子；其次，针对三角犹豫模糊元的有序位置存在具有不同权重的情况，构建了三角犹豫模糊Einstein有序加权平均（THFEOWA）算子和三角犹豫模糊Einstein有序加权几何（THFEOWG）算子，并讨论了它们相应的基本性质；最后建立了基于THFEOWA算子和THFEOWG算子的多属性决策模型，并通过实例说明提出的决策模型是合理和有效的。

关键词: 三角犹豫模糊集, Einstein算子, 集结算子, 决策模型