Advertisement

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)

Abstract

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.

Keywords

Pythagorean fuzzy PROMETHEE Multi-attribute decision 

References

  1. 1.
    Zadeh, L.A.: Fuzzy sets. Inf. Control 8(3), 338–353 (1965)CrossRefGoogle Scholar
  2. 2.
    Gau, W.L., Buehrer, D.J.: Vague sets. IEEE Trans. Syst. Man Cybern. 23(2), 610–614 (1993)CrossRefGoogle Scholar
  3. 3.
    Yager, R.R.: Pythagorean membership grades in multicriteria decision making. IEEE Trans. Fuzzy Syst. 22(4), 958–965 (2014)CrossRefGoogle Scholar
  4. 4.
    Miao, L., Zhang, J., Wu, Y., Wang, Y.: Multi-attribute decision making method based on Pythagorean hesitant fuzzy set similarity measure. J. Wuhan Univ. Technol. (Inf. Manag. Eng.) 40(02), 219–223 (2018) Google Scholar
  5. 5.
    Ju, P., Chen, Z., Ran, Y., Hu, X.: The improved FMEA method based on PROMETHEE in multi-granular probability language environment. J. Beijing Univ. Aeronaut. Astronaut. 1-10 (2019) Google Scholar
  6. 6.
    Fan, J., Yan, Y., Wu, M.: Multi-criteria decision making method based on cross entropy and TOPSIS in Pythagorean fuzzy environment. Comput. Eng. Appl. 54(16), 146–151 (2018)Google Scholar
  7. 7.
    Peng, X.: New development of Pythagorean fuzzy set theory and its application. Northwest Normal University (2016)Google Scholar
  8. 8.
    Haddad, M.J., Sanders, D.A.: Selecting a best compromise direction for a powered wheelchair using PROMETHEE II. IEEE Trans. Neural Syst. Rehabil. Eng. 27, 228–235 (2018)CrossRefGoogle Scholar
  9. 9.
    Prasetyo, E.D.W., Handajani, M.: Criteria analysis, weight and priority for handling bridges in Kudus District using AHP and Promethee II methods. J. Phys. Conf. Ser. 1167(1), 012009 (2019) CrossRefGoogle Scholar
  10. 10.
    Wang, Y.: Research on interval hesitant fuzzy decision based on level higher than relationship. Xi’an University of Technology (2017)Google Scholar
  11. 11.
    Zeng, S., Mu, Z.: Study on Pedagoras fuzzy TOPSIS multi-attribute decision making method based on mixed weighted distance. CMS 27(03), 198–205 (2019)Google Scholar
  12. 12.
    Hu, J., Zhang, X.,Yang, Y., et al.: New doctors ranking system based on VIKOR method. Int. Trans. Oper. Res. (2018) Google Scholar
  13. 13.
    Chen, X., Wang, Y.: Multi-attribute emergency decision-making method considering information source correlation. Syst. Eng. Theor. Pract. 38(08), 2045–2056 (2018)Google Scholar
  14. 14.
    Zhao, Y., Yi, Y.: Modified PROMETHEEII for venture capital investment selection decision-making towards SMEs. J. Interdiscip. Math. 21(4), 1–15 (2018)Google Scholar

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

Personalised recommendations