Journal of Computer Applications ›› 2019, Vol. 39 ›› Issue (2): 316-322.DOI: 10.11772/j.issn.1001-9081.2018061195

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

PENG Dinghong, YANG Yang   

  1. Quality Development Institute, Kunming University of Science and Technolog, Kunming Yunnan 650093, China
  • Received:2018-06-12 Revised:2018-07-30 Online:2019-02-10 Published:2019-02-15
  • 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).


彭定洪, 杨扬   

  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:

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.

Key words: Pythagorean fuzzy number, Frank operator, multi-attribute decision making, aggregation operator

摘要: 针对毕达哥拉斯模糊环境下的多属性决策问题,提出一种基于毕达哥拉斯模糊Frank算子的多属性决策方法。首先将毕达哥拉斯模糊数和Frank算子相结合,给出了基于Frank算子的运算法则;然后提出了毕达哥拉斯模糊Frank算子,包括毕达哥拉斯模糊Frank加权平均算子和毕达哥拉斯模糊Frank加权几何算子,并讨论了这些算子的性质;最后提出了基于毕达哥拉斯模糊Frank算子的多属性决策方法,将该方法应用于绿色供应商的选择中。实例分析表明,运用该方法可以解决实际的多属性决策问题,并可以进一步应用到风险管理、人工智能等领域。

关键词: 毕达哥拉斯模糊数, Frank算子, 多属性决策, 集结算子

CLC Number: