An Interval Intuitionistic Fuzzy VIKOR Evaluation Method Based on Unknown Weight

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


For multi-attribute group decision-making problems with unknown attribute weights and decision makers’ weights, an interval intuitionistic fuzzy VIKOR evaluation method with unknown weights is proposed. Firstly, the interval intuitionistic fuzzy number is used to construct the evaluation matrix of each decision maker. Secondly, the information entropy of interval intuitionistic fuzzy numbers is used to obtain the objective weight of attributes. Then, the scoring weight of each decision-maker is calculated based on the scoring correlation coefficient of the decision-maker and the group decision-maker, and then the above weights are aggregated to obtain a comprehensive evaluation matrix; Thirdly, the VIKOR sorting method is used to sort the comprehensive evaluation matrix to obtain the optimal scheme. Finally, the feasibility and effectiveness of the algorithm are verified by an example of decision-making of the optimal knowledge service platform scheme. The results show that the method is feasible to solve the optimization problem of multi-attribute group decision making with unknown attribute weight and decision maker weight.


Unknown weight Interval intuitionistic fuzziness VIKOR 


  1. 1.
    Garg, H., Kumar, K.: An extended technique for order preference by similarity to ideal solution group decision-making method with linguistic interval-valued intuitionistic fuzzy information. J. Multi-criteria Decis. Anal. 26(1–2), 16–26 (2019)CrossRefGoogle Scholar
  2. 2.
    Zhang, F.W., Huang, W.W., Sun, J.: Generalized fuzzy additive operators on intuitionistic fuzzy sets and interval-valued intuitionistic fuzzy sets and their application. IEEE Access 45734–45743 (2019) Google Scholar
  3. 3.
    Couso, I., Bustince, H.: From fuzzy sets to interval-valued and atanassov intuitionistic fuzzy sets: a unified view of different axiomatic measures. IEEE Trans. Fuzzy Syst. 27(2), 362–371 (2019)CrossRefGoogle Scholar
  4. 4.
    Zheng, T.T., Zhang, M.Y., Zheng, W.R.: A new uncertainty measure of covering-based rough interval-valued intuitionistic fuzzy sets. IEEE Access 53213–53224 (2019)Google Scholar
  5. 5.
    Zhang, Z.G., Sheng, Y., Ou, C.: A method for determining index weight based on FAHP-CEEMDAN. Stat. Decis. Mak. 35(02), 79–83 (2019)Google Scholar
  6. 6.
    Li, L., Wang, Y.Q.: A new method for determining the weight of multi-attribute group decision experts. Stat. Decis. (02), 14–18 (2017)Google Scholar
  7. 7.
    Yeni, F.B., Özçelik, G.: Interval-valued Atanassov intuitionistic fuzzy CODAS method for multi criteria group decision making problems. Group Decis. Negot. 28, 433-452 (2018)Google Scholar
  8. 8.
    Narayanamoorthy, S., Geetha, S., Rakkiyappan, R., et al.: Interval-valued intuitionistic hesitant fuzzy entropy based VIKOR method for industrial robots selection. Expert Syst. Appl. 121, 28–37 (2019)CrossRefGoogle Scholar
  9. 9.
    Wu, L.P., Wang, J., Gao, H.: Models for competiveness evaluation of tourist destination with some interval-valued intuitionistic fuzzy Hamy mean operators. J. Intell. Fuzzy Syst. 1–17 (2019)Google Scholar
  10. 10.
    Liu, H.C., Jian, X.Y., Chun, Y.D.: An integrated approach for failure mode and effect analysis under interval-valued intuitionistic fuzzy environment. Int. J. Product. Econ. 207, 163–172 (2019)CrossRefGoogle Scholar
  11. 11.
    Li, D.F.: TOPSIS-based nonlinear-programming methodology for multiattribute decision making with interval-valued intuitionistic fuzzy sets. IEEE Trans. Fuzzy Syst. 18(2), 299–311 (2010)Google Scholar
  12. 12.
    Xu, W.H., Shang, X.P., Wang, J.: A novel approach to multi-attribute group decision-making based on interval-valued intuitionistic fuzzy power Muirhead mean. Symmetry-Basel. 11(3) (2019) Google Scholar

Copyright information

© Springer Nature Switzerland AG 2020

Authors and Affiliations

  • Wenyu Zhang
    • 1
    • 2
  • Dadi Dong
    • 1
    Email author
  • Songmin Zhao
    • 1
  • Yuting Zhu
    • 1
  • Danshu Wang
    • 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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