Abstract: An improved triangular hesitant fuzzy multi-attribute decision-making model is proposed to solve the decision-making problem in which the attribute evaluation information is intrinsically related and the attribute value is triangular hesitant fuzzy element. Firstly, the basic operation rule of triangular hesitant fuzzy Einstein is defined by combining Einstein operation. Based on this rule, the trigonometric hesitant fuzzy weighted average (THFEWA) operator and the trigonometric hesitant fuzzy weighted geometric (THFEWG) operator are defined. Secondly, a trigonometric hesitant fuzzy model for multi-attribute decision making is developed based on the above two new operators. Finally, the proposed model is applied to evaluate the comprehensive performance of multimedia equipment. The experimental results show that the proposed decision-making model is feasible, more effective, and has certain application value.

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

摘要： 针对属性评估信息存在一定内在联系且属性值为三角犹豫模糊元的决策问题，提出一种改进的三角犹豫模糊多属性决策模型。首先结合Einstein运算定义了三角犹豫模糊Einstein基本运算法则，基于该法则定义了两个新的信息集成算子，即三角犹豫模糊Einstein加权平均(THFEWA)算子和三角犹豫模糊Einstein加权几何(THFEWG)算子。其次运用这两个新的算子构建新的三角犹豫模糊多属性决策模型。最后将该模型应用于评价多媒体器材综合性能，实验结果表明，提出的模型是可行的，且更为有效，具备了一定的应用价值。

关键词: 群决策模型, 三角犹豫模糊集, Einstein运算, 信息集成算子