中文摘要：

通过将犹豫模糊集与毕达哥拉斯模糊集相结合,提出毕达哥拉斯犹豫模糊集的概念,定义毕达哥拉斯犹豫模糊数的运算,研究其运算性质,并定义其得分函数实现毕达哥拉斯犹豫模糊数的大小比较。然后,提出毕达哥拉斯犹豫模糊数的加权算术平均算子和加权几何平均算子,并研究它们的性质。最后,给出一种基于毕达哥拉斯犹豫模糊信息的决策方法,并通过算例说明其可行性与有效性。

英文摘要：

Pythagorean hesitant fuzzy set is defined by combining hesitant fuzzy set and Pythagorean fuzzy set, and the operations and operation natures of Pythagorean hesitant fuzzy numbers are studies. By constructing score functions of Pythagorean hesitant fuzzy numbers, ranking of Pythagorean hesitant fuzzy numbers are accomplished. Then, the weighted arithmetic average operator and the weighted geometric average operator of Pythagorean hesitant fuzzy numbers are proposed and their natures are discussed. Finally, a decision making method with Pythagorean hesitant fuzzy numbers is given, and an example is used to illustrate the feasibility and applicability of the proposed method.