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

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