Abstract: Combining hesitant fuzzy set and trapezoid fuzzy set, this paper provides the hesitant trapezoid fuzzy set. Firstly, the algorithm of hesitant trapezoid fuzzy number is proposed, and the Hesitant Trapezoid Fuzzy Weighted Average（HTrFWA） operator and the Hesitant Trapezoid Fuzzy Weighted Geometric（HTrFWG） operator are defined. Considering the fact that the ordered position of the hesitant trapezoidal fuzzy numbers has different weights, the Hesitant Trapezoid Fuzzy Ordered Weighted Average（HTrFOWA） operator and the Hesitant Trapezoid Fuzzy Ordered Weighted Geometric（HTrFOWG） operator are defined, and their operation laws are discussed. Secondly, the score function of hesitant trapezoid fuzzy number is defined, and the sorting method is given correspondingly. Furthermore, an approach based on the HTrFWA operator and HTrFWG operator is proposed for multiple attribute decision making problems under hesitant trapezoid fuzzy environment. Finally, a numerical example is given to illustrate the application of the proposed approach.

Key words: hesitant trapezoid fuzzy set, score function, aggregation operators, multiple attribute decision making

摘要： 结合犹豫模糊集和梯形模糊集，提出犹豫梯形模糊集的概念。首先，给出犹豫梯形模糊数的运算法则，探讨犹豫梯形模糊加权平均（HTrFWA）算子和犹豫梯形模糊加权几何（HTrFWG）算子。考虑到犹豫梯形模糊数的有序位置存在具有不同权重的情况，定义了犹豫梯形模糊有序加权平均（HTrFOWA）算子和犹豫梯形模糊有序加权几何（HTrFOWG）算子，并讨论了其相应的运算定理。其次，构建犹豫梯形模糊数的得分函数，并给出犹豫梯形模糊数的排序方法。最后，提出了基于HTrFWA算子和HTrFWG算子的犹豫梯形模糊多属性决策方法，并通过实例进行验证。

关键词: 犹豫梯形模糊集, 得分函数, 集成算子, 多属性决策