A Multi-attribute Decision Making Method Based on Interval Pythagorean Fuzzy Language and the PROMETHEE Method

  • Wenyu Zhang
  • Yuting ZhuEmail author
  • Danshu Wang
  • Songmin Zhao
  • Dadi Dong
Conference paper
Part of the Advances in Intelligent Systems and Computing book series (AISC, volume 1074)


In order to deal with the multi-attribute decision making the problem which is related to the actual decision problem by randomness and uncertainty in the Pythagorean fuzzy environment, this paper proposes a method based on the interval value Pythagorean fuzzy set and the PROMETHEE to solve the multi-attribute decision problem.Firstly, the fuzzy interval Pythagorean decision matrix of each decision maker is constructed, and the weights of decision makers and attributes are determined by the relative proximity coefficient method, the entropy method and the distance of the Pythagorean fuzzy number. Secondly, using the comprehensive weight and IVPFWA operator to aggregate the decision matrix of each decision maker into a comprehensive matrix and Pythagorean fuzzy comprehensive scoring matrix, and then obtain the final sorting result through the PROMETHEE; Finally, the effectiveness and feasibility of the algorithm are verified by the factory location example, and compared with the results of TOPSIS and VIKOR methods.


Pythagorean fuzzy PROMETHEE Multi-attribute decision 


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Copyright information

© Springer Nature Switzerland AG 2020

Authors and Affiliations

  • Wenyu Zhang
    • 1
    • 2
  • Yuting Zhu
    • 1
    Email author
  • Danshu Wang
    • 1
  • Songmin Zhao
    • 1
  • Dadi Dong
    • 1
  1. 1.Xi’an University of Posts and TelecommunicationsXi’anChina
  2. 2.China Research Institute of Aerospace Systems Science and EngineeringBeijingChina

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