Abstract:

Considering the advantages of Power Average（PA） operator and Bonferroni Mean（BM） operator, the Pythagorean Fuzzy Power Bonferroni Mean（PFPBM） operator and Pythagorean Fuzzy Weighted Power Bonferroni Mean（PFWPBM） operator are defined, which not only consider the overall equilibrium between data information, but also take into account the possible correlation between attributes. The ideal properties and special cases of these operators are studied. Furthermore, a method for Pythagorean fuzzy Multiple Attribute Decision-making（MADM） in which attributes are associated with each other is constructed based on the proposed operator. The method is applied to the service quality evaluation of domestic airline companies, and a comparison with the existing methods is conducted to verify the effectiveness and feasibility of the proposed method.

Key words: Pythagorean fuzzy set, power average operator, Bonferroni mean operator, multiple attribute decision making

摘要：

结合幂平均与Bonferroni平均集成算子的优点，定义了毕达哥拉斯模糊幂Bonferroni平均和毕达哥拉斯模糊加权幂Bonferroni平均集成算子，其不仅考虑了数据信息之间的整体均衡性，还考虑了属性之间可能存在的相互关联关系。研究了这些集成算子的优良性质和特殊情形，并在此基础上提出了一种属性间存在相关性的毕达哥拉斯模糊多属性决策方法。将其应用于国内航空公司的服务质量评价中，并与现有方法进行分析比较，验证了所提方法的有效性和可行性。

关键词: 毕达哥拉斯模糊集, 幂平均算子, Bonferroni平均算子, 多属性决策