Correction

Correction: Interval-valued intuitionistic fuzzy MADM method based on TOPSIS and grey correlation analysis

  • Received: 27 September 2020 Accepted: 28 September 2020 Published: 28 September 2020
  • Citation: Fankang Bu, Jun He, Haorun Li, Qiang Fu. Correction: Interval-valued intuitionistic fuzzy MADM method based on TOPSIS and grey correlation analysis[J]. Mathematical Biosciences and Engineering, 2020, 17(6): 6699-6701. doi: 10.3934/mbe.2020348

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  • A correction on

    Interval-valued intuitionistic fuzzy MADM method based on TOPSIS and grey correlation analysis

    by Fankang Bu, Jun He, Haorun Li and Qiang Fu. Mathematical Biosciences and Engineering, 2020, 17 (5): 5584–5603. doi: 10.3934/mbe.2020300.

    We would like to submit the following corrections to our recently published paper 1 due to the wrong calculation of the manuscript. The details are the following.

    1. The Table 3 has been updated.

    Table 3.  Weights of attributes.
    Attributes weights Attributes
    T1 T2 T3 T4 T5 T6
    Subjective weight 0.183 0.212 0.145 0.191 0.108 0.161
    Entropy weight 0.116 0.115 0.219 0.152 0.217 0.180
    Combined weight 0.15 0.16 0.183 0.175 0.157 0.175

     | Show Table
    DownLoad: CSV

    2. The Figure 3 has been updated.

    Figure 3.  The comparative analysis results of weights.

    3. The Table 4 has been updated.

    Table 4.  Weighted Euclidean distances and weighted grey correlation degrees.
    Alternative Distance Grey related degree
    di+ di ξi+ ξi
    A1 0.090 0.094 0.780 0.575
    A2 0.099 0.085 0.741 0.637
    A3 0.108 0.083 0.727 0.683

     | Show Table
    DownLoad: CSV

    4. The Table 5 has been updated.

    Table 5.  Normalized treatment to weighted Euclidean distances and weighted grey correlation degrees.
    Alternative Distance Grey related degree
    Di+ Di Ei+ Ei
    A1 0.833 1.000 1.000 0.842
    A2 0.917 0.904 0.950 0.933
    A3 1.000 0.883 0.932 1.000

     | Show Table
    DownLoad: CSV

    5. The Table 6 has been updated.

    Table 6.  Combination closeness degree and Rank.
    Alternatives Vi+ Vi Zi Rank
    A1 1.000 0.838 0.544 1
    A2 0.927 0.910 0.500 2
    A3 0.908 1.000 0.476 3

     | Show Table
    DownLoad: CSV

    6. The Figure 4 has been updated.

    Figure 4.  Sensitivity analysis for preference coefficient.

    7. The Table 7 has been updated.

    Table 7.  The ranking results of three methods.
    Alternative TOPSIS-GCA DIF-MADM IIHA
    value rank value rank value rank
    A1 0.544 1 0.569 1 0.081 1
    A2 0.500 2 0.544 2 −0.023 2
    A3 0.476 3 0.427 3 −0.071 3

     | Show Table
    DownLoad: CSV

    These changes have no material impact on the conclusion of this paper. The manuscript will be updated. We apologize for any inconvenience caused to our readers.



    [1] F. K. Bu, J. He, H. R. Li, Q. Fu, Interval-valued intuitionistic fuzzy MADM method based on TOPSIS and grey correlation analysis, Math. Biosci. Eng., 17 (2020), 5584-5603. doi: 10.3934/mbe.2020300
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