Journal of Computer Applications ›› 2019, Vol. 39 ›› Issue (2): 316-322.

### Multi-attribute decision making method based on Pythagorean fuzzy Frank operator

1. Quality Development Institute, Kunming University of Science and Technolog, Kunming Yunnan 650093, China
• Supported by:
This work is partially supported by the National Natural Science Foundation of China (71861018,61364016), the Chinese Postdoctoral Science Foundation (2014M550473, 2015T80990), the Yunnan Applied Basic Research Project (2014FB136).

### 基于毕达哥拉斯模糊Frank算子的多属性决策方法

1. 昆明理工大学 质量发展研究院, 昆明 650093
• 通讯作者: 杨扬
• 作者简介:彭定洪(1982-),男,云南曲靖人,副教授,博士,主要研究方向:模糊决策;杨扬(1993-),男,湖南岳阳人,硕士研究生,主要研究方向:模糊决策。
• 基金资助:
国家自然科学基金资助项目（71861018，61364016）；中国博士后科学基金资助项目（2014M550473，2015T80990）；云南省应用基础研究计划项目（2014FB136）。

Abstract: To solve the multi-attribute decision making problems in Pythagorean fuzzy environment, a multi-attribute decision making method based on Pythagorean fuzzy Frank operator was proposed. Firstly, Pythagorean fuzzy number and Frank operator were combined to obtain the operation rule based on Frank operator. Then the Pythagorean fuzzy Frank operator was proposed, including Pythagorean fuzzy Frank weighted average operator and Pythagorean fuzzy Frank weighted geometric operator, and the properties of these operators were discussed. Finally, a multi-attribute decision making method based on Pythagorean fuzzy Frank operator was proposed, which was applied to an example of green supplier selection. The example analysis shows that the proposed method can be used to solve the actual multi-attribute decision making problems, and can be further applied to areas such as risk management and artificial intelligence.

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