关键词: 毕达哥拉斯模糊集, 几何Bonferroni平均, 阿基米德范数, 毕达哥拉斯模糊几何Bonferroni平均, 决策模型

Abstract: In order to consider the inter-relationship between expert’s evaluation values and expand the application scope of decision-making model, a multi-attribute decision-making method based on Pythagorean Fuzzy Geometric Bonferroni Mean（PFGBM） is constructed. This method first defines new addition, multiplication, multiplication and power operations by using Archimedean norm under Pythagoras fuzzy information environment. Then, the PFGBM is proposed based on geometric Bonferroni mean, and its basic characteristics and common expression forms are analyzed. Finally, a decision-making model based on PFGBM is designed and used to deal with the case of renewal and selection of cloud computing product. Experiments show that the model improves the applicability and flexibility of decision-making.

Key words: Pythagorean fuzzy sets, geometric Bonferroni mean, Archimedes norm, Pythagorean fuzzy geometric Bonferroni mean, decision-making model