中文摘要：

将幂平均算子应用到毕达哥拉斯模糊决策环境中,定义了毕达哥拉斯模糊幂平均算子（PFPA）、毕达哥拉斯模糊幂有序加权平均算子（PFPOWA）、毕达哥拉斯模糊幂几何算子（PFPG）和毕达哥拉斯模糊幂有序加权几何算子（PFPOWG）,并分别研究了它们的性质。最后,提出了基于毕达哥拉斯模糊幂平均算子的决策方法,并通过实例说明了其可行性与有效性。

英文摘要：

Power average operator is extended to Pythagorean fuzzy environment, and Pythagorena fuzzy power average operator （PFPA）, Pythagorena fuzzy power ordered weighted average operator （PFPOWA）, Pythagorean fuzzy power geometric operator （PFPG） and Pythagorean fuzzy power ordered weighted geometric operatorm （PFPOWG） are defined. Moreover, some propertie of these aggregation operators are studied. Finally, the method for multiple attribute decision making with Pythagorean fuzzy information is presented, and a practical example is provided to illustrate the feasibility and applicability of the proposed method.