Novel Integrated Multi-Criteria Model for Supplier Selection: Case Study Construction Company
Abstract
:1. Introduction
2. Literature Review
3. Methods
3.1. R’DEMATEL Method
3.2. Rough EDAS Method
4. Case Study
4.1. Estimation of the Criteria Weight by Applying R’DEMATEL Method
4.2. Supplier Selection Using Rough EDAS Method
5. Sensitivity Analysis and Discussion
6. Conclusions
Author Contributions
Conflicts of Interest
References
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Criteria | References |
---|---|
Quality of material | [6,21,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49] |
Price of material | [6,21,26,27,28,29,30,31,33,34,35,36,37,38,39,40,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56] |
Certification of products | [26,31,40,42,44,50,52,57] |
Delivery time | [21,26,27,28,29,30,31,33,34,35,36,37,38,39,40,42,43,44,45,46,47,48,49,51,53,54,55,56,58] |
Reputation | [6,21,26,28,29,34,36,43,46,48,49,54,55,58,59,60] |
Volume discounts | [37,40,42] |
Warranty period | [21,26,31,35,37,40] |
Reliability | [6,26,30,33,34,36,42,48,50,51,54,56,57,60] |
Method of payment | [26,38,39,40,44,45,47,57] |
E1 | E2 | |||||||||||||||||
C1 | C2 | C3 | C4 | C5 | C6 | C7 | C8 | C9 | C1 | C2 | C3 | C4 | C5 | C6 | C7 | C8 | C9 | |
C1 | 0 | 5 | 5 | 5 | 2 | 4 | 4 | 4 | 3 | 0 | 5 | 5 | 4 | 3 | 5 | 4 | 4 | 3 |
C2 | 4 | 0 | 4 | 2 | 2 | 3 | 5 | 4 | 3 | 4 | 0 | 4 | 4 | 1 | 5 | 5 | 3 | 3 |
C3 | 4 | 3 | 0 | 3 | 3 | 4 | 2 | 4 | 3 | 4 | 1 | 0 | 5 | 3 | 5 | 3 | 4 | 3 |
C4 | 4 | 3 | 5 | 0 | 2 | 3 | 3 | 3 | 5 | 4 | 2 | 5 | 0 | 2 | 5 | 3 | 3 | 5 |
C5 | 5 | 4 | 5 | 4 | 0 | 4 | 5 | 5 | 3 | 5 | 3 | 5 | 5 | 0 | 5 | 5 | 5 | 3 |
C6 | 4 | 4 | 3 | 3 | 1 | 0 | 2 | 4 | 4 | 4 | 2 | 4 | 4 | 1 | 0 | 2 | 4 | 4 |
C7 | 4 | 4 | 3 | 4 | 2 | 4 | 0 | 5 | 5 | 4 | 2 | 4 | 5 | 2 | 5 | 0 | 5 | 5 |
C8 | 3 | 3 | 4 | 2 | 1 | 2 | 2 | 0 | 3 | 4 | 2 | 5 | 4 | 1 | 4 | 2 | 0 | 3 |
C9 | 3 | 3 | 4 | 2 | 2 | 2 | 3 | 3 | 0 | 3 | 1 | 4 | 3 | 2 | 4 | 3 | 3 | 0 |
… | ||||||||||||||||||
E6 | E7 | |||||||||||||||||
C1 | C2 | C3 | C4 | C5 | C6 | C7 | C8 | C9 | C1 | C2 | C3 | C4 | C5 | C6 | C7 | C8 | C9 | |
C1 | 0 | 5 | 4 | 4 | 3 | 5 | 5 | 5 | 2 | 0 | 5 | 5 | 4 | 4 | 4 | 4 | 5 | 3 |
C2 | 4 | 0 | 3 | 2 | 1 | 3 | 4 | 3 | 3 | 4 | 0 | 3 | 4 | 1 | 5 | 5 | 4 | 2 |
C3 | 5 | 3 | 0 | 3 | 3 | 3 | 2 | 3 | 3 | 4 | 3 | 0 | 5 | 4 | 5 | 2 | 4 | 2 |
C4 | 3 | 3 | 4 | 0 | 2 | 4 | 3 | 3 | 4 | 3 | 3 | 5 | 0 | 3 | 5 | 3 | 4 | 5 |
C5 | 3 | 4 | 4 | 4 | 0 | 3 | 4 | 3 | 4 | 5 | 4 | 5 | 5 | 0 | 5 | 5 | 4 | 3 |
C6 | 4 | 3 | 3 | 3 | 1 | 0 | 2 | 3 | 5 | 3 | 3 | 3 | 4 | 2 | 0 | 2 | 4 | 4 |
C7 | 5 | 3 | 3 | 4 | 2 | 3 | 0 | 3 | 5 | 4 | 3 | 3 | 5 | 2 | 4 | 0 | 5 | 4 |
C8 | 4 | 3 | 4 | 2 | 1 | 3 | 1 | 0 | 4 | 3 | 3 | 4 | 4 | 1 | 5 | 2 | 0 | 3 |
C9 | 3 | 3 | 4 | 2 | 1 | 3 | 3 | 5 | 0 | 2 | 3 | 5 | 3 | 1 | 5 | 3 | 4 | 0 |
Criterion | + | − | ||
---|---|---|---|---|
C1 | 14.201 | 12.939 | 27.141 | 1.262 |
C2 | 10.678 | 11.270 | 21.948 | −0.592 |
C3 | 11.663 | 14.171 | 25.835 | −2.508 |
C4 | 11.708 | 14.628 | 26.336 | −2.920 |
C5 | 15.157 | 5.545 | 20.702 | 9.612 |
C6 | 10.105 | 14.642 | 24.747 | −4.538 |
C7 | 12.624 | 9.870 | 22.495 | 2.754 |
C8 | 9.290 | 13.360 | 22.650 | −4.070 |
C9 | 9.919 | 12.082 | 22.000 | −2.163 |
Criterion | + | − | ||
---|---|---|---|---|
C1 | [2.740, 25.844] | [2.551, 23.891] | [5.292, 49.734] | [−21.150, 23.292] |
C2 | [2.190, 21.469] | [2.067, 22.051] | [4.257, 43.521] | [−19.861, 19.402] |
C3 | [2.278, 22.797] | [2.779, 25.344] | [5.057, 48.141] | [−23.067, 20.018] |
C4 | [2.424, 22.705] | [2.541, 26.193] | [4.964, 48.898] | [−23.770, 20.164] |
C5 | [2.841, 27.027] | [1.387, 13.850] | [4.228, 40.876] | [−11.008, 25.640] |
C6 | [2.122, 20.699] | [2.477, 26.275] | [4.599, 46.975] | [−24.153, 18.223] |
C7 | [2.522, 23.897] | [2.171, 19.896] | [4.693, 43.793] | [−17.374, 21.725] |
C8 | [1.935, 19.686] | [2.554, 24.467] | [4.488, 44.153] | [−22.532, 17.133] |
C9 | [1.939, 20.628] | [2.464, 22.784] | [4.403, 43.412] | [−20.845, 18.164] |
E1 | E2 | |||||||||||||||||
C1 | C2 | C3 | C4 | C5 | C6 | C7 | C8 | C9 | C1 | C2 | C3 | C4 | C5 | C6 | C7 | C8 | C9 | |
A1 | 7 | 1 | 3 | 9 | 1 | 3 | 5 | 3 | 3 | 9 | 1 | 3 | 7 | 9 | 7 | 5 | 9 | 7 |
A2 | 7 | 3 | 7 | 9 | 3 | 5 | 5 | 5 | 3 | 7 | 3 | 9 | 5 | 7 | 7 | 5 | 7 | 5 |
A3 | 5 | 7 | 7 | 5 | 7 | 7 | 7 | 5 | 7 | 3 | 9 | 7 | 1 | 5 | 5 | 7 | 5 | 5 |
A4 | 5 | 3 | 3 | 5 | 7 | 3 | 9 | 5 | 5 | 3 | 7 | 3 | 1 | 5 | 3 | 7 | 5 | 5 |
A5 | 5 | 9 | 9 | 3 | 7 | 5 | 9 | 5 | 7 | 3 | 9 | 9 | 1 | 5 | 5 | 9 | 5 | 5 |
A6 | 3 | 7 | 7 | 3 | 5 | 3 | 3 | 3 | 3 | 5 | 7 | 7 | 3 | 5 | 5 | 3 | 5 | 3 |
E3 | E4 | |||||||||||||||||
C1 | C2 | C3 | C4 | C5 | C6 | C7 | C8 | C9 | C1 | C2 | C3 | C4 | C5 | C6 | C7 | C8 | C9 | |
A1 | 3 | 1 | 1 | 9 | 1 | 3 | 3 | 1 | 3 | 5 | 3 | 3 | 9 | 3 | 1 | 3 | 1 | 1 |
A2 | 3 | 3 | 5 | 9 | 3 | 5 | 5 | 3 | 1 | 5 | 1 | 5 | 7 | 5 | 3 | 1 | 1 | 3 |
A3 | 5 | 3 | 3 | 7 | 7 | 3 | 5 | 3 | 3 | 7 | 5 | 5 | 7 | 5 | 5 | 3 | 3 | 5 |
A4 | 5 | 5 | 1 | 7 | 5 | 5 | 3 | 3 | 5 | 7 | 3 | 3 | 5 | 5 | 3 | 3 | 3 | 3 |
A5 | 5 | 5 | 5 | 5 | 9 | 7 | 5 | 5 | 5 | 3 | 5 | 7 | 5 | 7 | 7 | 3 | 5 | 5 |
A6 | 3 | 7 | 3 | 5 | 3 | 3 | 3 | 3 | 7 | 5 | 5 | 5 | 5 | 3 | 5 | 3 | 5 | 7 |
E5 | E6 | |||||||||||||||||
C1 | C2 | C3 | C4 | C5 | C6 | C7 | C8 | C9 | C1 | C2 | C3 | C4 | C5 | C6 | C7 | C8 | C9 | |
A1 | 7 | 1 | 1 | 9 | 3 | 7 | 5 | 7 | 7 | 5 | 3 | 3 | 9 | 1 | 5 | 3 | 5 | 5 |
A2 | 7 | 3 | 7 | 9 | 5 | 7 | 5 | 9 | 5 | 5 | 3 | 7 | 9 | 1 | 3 | 5 | 5 | 5 |
A3 | 5 | 7 | 5 | 5 | 9 | 9 | 7 | 9 | 7 | 5 | 5 | 7 | 7 | 9 | 7 | 5 | 7 | 3 |
A4 | 5 | 5 | 1 | 5 | 9 | 9 | 9 | 9 | 9 | 3 | 3 | 3 | 7 | 7 | 5 | 3 | 5 | 5 |
A5 | 5 | 9 | 9 | 1 | 9 | 5 | 9 | 9 | 9 | 7 | 5 | 9 | 7 | 9 | 7 | 5 | 7 | 3 |
A6 | 3 | 7 | 7 | 3 | 7 | 7 | 3 | 7 | 3 | 5 | 5 | 7 | 7 | 1 | 5 | 3 | 5 | 5 |
E7 | ||||||||||||||||||
C1 | C2 | C3 | C4 | C5 | C6 | C7 | C8 | C9 | ||||||||||
A1 | 5 | 3 | 3 | 9 | 1 | 5 | 3 | 5 | 7 | |||||||||
A2 | 5 | 3 | 7 | 9 | 1 | 7 | 5 | 5 | 5 | |||||||||
A3 | 5 | 5 | 7 | 7 | 9 | 7 | 5 | 7 | 5 | |||||||||
A4 | 5 | 3 | 3 | 7 | 7 | 5 | 3 | 5 | 7 | |||||||||
A5 | 5 | 5 | 9 | 7 | 9 | 3 | 5 | 7 | 7 | |||||||||
A6 | 5 | 5 | 7 | 7 | 1 | 5 | 3 | 5 | 7 |
A1 | A2 | A3 | A4 | A5 | A6 | |
---|---|---|---|---|---|---|
C1 | [4.72, 7.03] | [4.74, 6.37] | [4.48, 5.52] | [4.00, 5.43] | [4.00, 5.43] | [3.65, 4.63] |
C2 | [1.37, 2.35] | [2.47, 2.96] | [4.72, 7.03] | [3.35, 4.99] | [5.73, 7.69] | [5.65, 6.63] |
C3 | [2.02, 2.84] | [6.00, 7.43] | [5.01, 6.65] | [2.02, 2.84] | [7.39, 8.83] | [5.39, 6.83] |
C4 | [8.47, 8.96] | [7.39, 8.83] | [4.37, 6.60] | [4.12, 6.33] | [2.56, 5.67] | [3.72, 5.73] |
C5 | [1.44, 4.26] | [2.22, 4.95] | [6.27, 8.28] | [5.63, 7.26] | [7.01, 8.65] | [3.05, 5.78] |
C6 | [3.05, 5.78] | [4.09, 5.91] | [4.97, 7.28] | [3.67, 5.88] | [4.74, 6.37] | [4.00, 5.43] |
C7 | [3.37, 4.35] | [3.94, 4.92] | [4.74, 6.37] | [3.77, 6.78] | [5.11, 7.78] | [3.00, 3.00] |
C8 | [2.54, 6.38] | [3.39, 6.61] | [4.22, 6.95] | [4.05, 6.03] | [5.35, 6.99] | [4.00, 5.43] |
C9 | [3.26, 6.12] | [3.01, 4.65] | [4.09, 5.91] | [4.57, 6.65] | [4.72, 7.03] | [3.93, 6.07] |
PDA | A1 | A2 | A3 | A4 | A5 | A6 | ||||||
---|---|---|---|---|---|---|---|---|---|---|---|---|
C1 | 0.18 | 0.92 | 0.17 | 0.74 | 0.22 | 0.51 | 0.30 | 0.49 | 0.30 | 0.49 | 0.00 | 0.00 |
C2 | 0.19 | 1.17 | 0.07 | 0.84 | 0.00 | 0.00 | 0.32 | 0.58 | 0.00 | 0.00 | 0.00 | 0.00 |
C3 | 0.00 | 0.00 | 0.02 | 0.87 | 0.15 | 0.67 | 0.00 | 0.00 | 0.25 | 1.22 | 0.09 | 0.72 |
C4 | 0.00 | 0.00 | 0.00 | 0.00 | 0.32 | 0.61 | 0.28 | 0.66 | 0.18 | 1.02 | 0.19 | 0.75 |
C5 | 0.00 | 0.00 | 0.00 | 0.00 | 0.04 | 1.26 | 0.14 | 0.98 | 0.07 | 1.36 | 0.00 | 0.00 |
C6 | 0.00 | 0.00 | 0.33 | 0.69 | 0.19 | 1.08 | 0.00 | 0.00 | 0.22 | 0.82 | 0.00 | 0.00 |
C7 | 0.00 | 0.00 | 0.00 | 0.00 | 0.14 | 0.86 | 0.32 | 0.98 | 0.08 | 1.28 | 0.00 | 0.00 |
C8 | 0.00 | 0.00 | 0.47 | 0.96 | 0.34 | 1.07 | 0.37 | 0.79 | 0.16 | 1.08 | 0.00 | 0.00 |
C9 | 0.00 | 0.00 | 0.00 | 0.00 | 0.33 | 0.75 | 0.25 | 0.97 | 0.22 | 1.09 | 0.35 | 0.80 |
NDA | A1 | A2 | A3 | A4 | A5 | A6 | ||||||
---|---|---|---|---|---|---|---|---|---|---|---|---|
C1 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.17 | 0.57 |
C2 | 0.00 | 0.00 | 0.00 | 0.00 | 0.11 | 1.11 | 0.00 | 0.00 | 0.09 | 1.31 | 0.07 | 0.99 |
C3 | 0.19 | 0.98 | 0.00 | 0.00 | 0.00 | 0.00 | 0.19 | 0.98 | 0.00 | 0.00 | 0.00 | 0.00 |
C4 | 0.21 | 1.05 | 0.05 | 1.02 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
C5 | 0.09 | 1.39 | 0.20 | 1.18 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.32 | 0.95 |
C6 | 0.37 | 0.87 | 0.00 | 0.00 | 0.00 | 0.00 | 0.39 | 0.70 | 0.00 | 0.00 | 0.32 | 0.60 |
C7 | 0.17 | 0.63 | 0.27 | 0.47 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.08 | 0.74 |
C8 | 0.47 | 1.15 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.32 | 0.71 |
C9 | 0.45 | 0.83 | 0.21 | 0.91 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
VPI | A1 | A2 | A3 | A4 | A5 | A6 | ||||||
---|---|---|---|---|---|---|---|---|---|---|---|---|
C1 | 0.07 | 0.92 | 0.07 | 0.74 | 0.09 | 0.51 | 0.12 | 0.49 | 0.12 | 0.49 | 0.00 | 0.00 |
C2 | 0.07 | 1.02 | 0.03 | 0.73 | 0.00 | 0.00 | 0.12 | 0.50 | 0.00 | 0.00 | 0.00 | 0.00 |
C3 | 0.00 | 0.00 | 0.01 | 0.82 | 0.07 | 0.64 | 0.00 | 0.00 | 0.11 | 1.16 | 0.04 | 0.68 |
C4 | 0.00 | 0.00 | 0.00 | 0.00 | 0.14 | 0.58 | 0.12 | 0.64 | 0.08 | 0.98 | 0.09 | 0.73 |
C5 | 0.00 | 0.00 | 0.00 | 0.00 | 0.01 | 1.11 | 0.03 | 0.86 | 0.02 | 1.20 | 0.00 | 0.00 |
C6 | 0.00 | 0.00 | 0.15 | 0.63 | 0.08 | 0.99 | 0.00 | 0.00 | 0.10 | 0.75 | 0.00 | 0.00 |
C7 | 0.00 | 0.00 | 0.00 | 0.00 | 0.05 | 0.77 | 0.10 | 0.88 | 0.03 | 1.14 | 0.00 | 0.00 |
C8 | 0.00 | 0.00 | 0.20 | 0.83 | 0.14 | 0.92 | 0.15 | 0.68 | 0.07 | 0.93 | 0.00 | 0.00 |
C9 | 0.00 | 0.00 | 0.00 | 0.00 | 0.13 | 0.65 | 0.10 | 0.83 | 0.09 | 0.93 | 0.14 | 0.69 |
VNI | A1 | A2 | A3 | A4 | A5 | A6 | ||||||
---|---|---|---|---|---|---|---|---|---|---|---|---|
C1 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.07 | 0.57 |
C2 | 0.00 | 0.00 | 0.00 | 0.00 | 0.04 | 0.97 | 0.00 | 0.00 | 0.03 | 1.14 | 0.03 | 0.86 |
C3 | 0.08 | 0.93 | 0.00 | 0.00 | 0.00 | 0.00 | 0.08 | 0.93 | 0.00 | 0.00 | 0.00 | 0.00 |
C4 | 0.09 | 1.01 | 0.02 | 0.98 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
C5 | 0.02 | 1.22 | 0.04 | 1.03 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.07 | 0.84 |
C6 | 0.17 | 0.80 | 0.00 | 0.00 | 0.00 | 0.00 | 0.17 | 0.64 | 0.00 | 0.00 | 0.14 | 0.55 |
C7 | 0.06 | 0.56 | 0.09 | 0.41 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.02 | 0.66 |
C8 | 0.20 | 0.99 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.14 | 0.61 |
C9 | 0.18 | 0.72 | 0.08 | 0.78 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
SPi | SNi | NSPi | NSNi | ASi | Rank | |
---|---|---|---|---|---|---|
A1 | [0.14, 1.94] | [0.79, 6.23] | [0.02, 3.20] | [0.87, −6.89] | −1.40 | 5 |
A2 | [0.45, 3.76] | [0.24, 3.21] | [0.06, 6.21] | [0.96, −3.07] | 2.08 | 4 |
A3 | [0.70, 6.16] | [0.04, 0.97] | [0.09, 10.17] | [0.99, −0.22] | 5.52 | 2 |
A4 | [0.74, 4.88] | [0.26, 1.57] | [0.10, 8.06] | [0.96, −0.99] | 4.07 | 3 |
A5 | [0.61, 7.57] | [0.03, 1.14] | [0.08, 12.49] | [0.99, −0.44] | 6.56 | 1 |
A8 | [0.26, 2.10] | [0.46, 4.09] | [0.03, 0.28] | [0.93, −4.19] | −1.48 | 6 |
E1 | E2 | |||||||||||||||||
C1 | C2 | C3 | C4 | C5 | C6 | C7 | C8 | C9 | C1 | C2 | C3 | C4 | C5 | C6 | C7 | C8 | C9 | |
C1 | 1 | 4 | 9 | 7 | 8 | 3 | 6 | 5 | 2 | 1 | 3 | 8 | 6 | 7 | 2 | 5 | 4 | 2 |
C2 | 0.25 | 1 | 5 | 3 | 4 | 0.50 | 3 | 2 | 0.33 | 0.33 | 1 | 5 | 3 | 4 | 0.500 | 3 | 2 | 0.33 |
C3 | 0.11 | 0.20 | 1 | 0.33 | 0.50 | 0.16 | 0.25 | 0.33 | 0.12 | 0.12 | 0.20 | 1 | 0.33 | 0.500 | 0.16 | 0.25 | 0.33 | 0.12 |
C4 | 0.14 | 0.33 | 3 | 1 | 2 | 0.25 | 0.50 | 0.33 | 0.16 | 0.16 | 0.33 | 3 | 1 | 2 | 0.25 | 0.500 | 0.33 | 0.16 |
C5 | 0.12 | 0.25 | 2 | 0.50 | 1 | 0.20 | 0.33 | 0.25 | 0.14 | 0.14 | 0.25 | 2 | 0.500 | 1 | 0.20 | 0.33 | 0.25 | 0.14 |
C6 | 0.33 | 2 | 6 | 4 | 5 | 1 | 3 | 3 | 0.50 | 0.500 | 2 | 6 | 4 | 5 | 1 | 3 | 3 | 0.500 |
C7 | 0.16 | 0.33 | 4 | 2 | 3 | 0.33 | 1 | 0.50 | 0.25 | 0.20 | 0.33 | 4 | 2 | 3 | 0.33 | 1 | 0.500 | 0.25 |
C8 | 0.20 | 0.50 | 3 | 3 | 4 | 0.33 | 2 | 1 | 0.33 | 0.25 | 0.500 | 3 | 3 | 4 | 0.33 | 2 | 1 | 0.33 |
C9 | 0.50 | 3 | 8 | 6 | 7 | 2 | 4 | 3 | 1 | 0.50 | 3 | 8 | 6 | 7 | 2 | 4 | 3 | 1 |
… | ||||||||||||||||||
E6 | E7 | |||||||||||||||||
C1 | C2 | C3 | C4 | C5 | C6 | C7 | C8 | C9 | C1 | C2 | C3 | C4 | C5 | C6 | C7 | C8 | C9 | |
C1 | 1 | 4 | 9 | 5 | 8 | 3 | 6 | 5 | 2 | 1 | 3 | 8 | 5 | 7 | 2 | 5 | 4 | 3 |
C2 | 0.25 | 1 | 5 | 2 | 4 | 0.50 | 3 | 2 | 0.33 | 0.33 | 1 | 6 | 3 | 4 | 0.50 | 4 | 2 | 1 |
C3 | 0.11 | 0.20 | 1 | 0.25 | 0.50 | 0.16 | 0.25 | 0.33 | 0.12 | 0.12 | 0.16 | 1 | 0.25 | 0.50 | 0.16 | 0.33 | 0.25 | 0.20 |
C4 | 0.20 | 0.50 | 4 | 1 | 4 | 0.33 | 2 | 1 | 0.25 | 0.20 | 0.33 | 4 | 1 | 3 | 0.33 | 1 | 0.50 | 0.33 |
C5 | 0.12 | 0.25 | 2 | 0.25 | 1 | 0.20 | 0.33 | 0.25 | 0.14 | 0.14 | 0.25 | 2 | 0.33 | 1 | 0.20 | 0.33 | 0.25 | 0.25 |
C6 | 0.33 | 2 | 6 | 3 | 5 | 1 | 3 | 3 | 0.50 | 0.50 | 2 | 6 | 3 | 5 | 1 | 3 | 2 | 2 |
C7 | 0.16 | 0.33 | 4 | 0.50 | 3 | 0.33 | 1 | 0.50 | 0.25 | 0.20 | 0.25 | 3 | 1 | 3 | 0.33 | 1 | 0.50 | 0.33 |
C8 | 0.20 | 0.50 | 3 | 1 | 4 | 0.33 | 2 | 1 | 0.33 | 0.25 | 0.50 | 0.25 | 2 | 4 | 0.50 | 2 | 1 | 0.50 |
C9 | 0.50 | 3 | 8 | 4 | 7 | 2 | 4 | 3 | 1 | 0.33 | 1 | 5 | 3 | 4 | 0.50 | 3 | 2 | 1 |
A1 | A2 | A3 | A4 | A5 | A6 | |
---|---|---|---|---|---|---|
C1 | [1, 1] | [2.78, 3.49] | [7.78, 8.49] | [5.51, 6.22] | [7.08, 7.49] | [2.08, 2.49] |
C2 | [0.3, 0.38] | [1, 1] | [5.18, 5.99] | [2.78, 3.83] | [4.18, 4.99] | [0.42, 0.63] |
C3 | [0.12, 0.13] | [0.17, 0.19] | [1, 1] | [0.29, 0.33] | [0.51, 0.63] | [0.16, 0.17] |
C4 | [0.16, 0.18] | [0.28, 0.38] | [3.08, 3.49] | [1, 1] | [2.18, 2.99] | [0.23, 0.29] |
C5 | [0.14, 0.14] | [0.2, 0.24] | [1.74, 1.98] | [0.36, 0.47] | [1, 1] | [0.18, 0.20] |
C6 | [0.42, 0.49] | [1.78, 2.49] | [6.04, 6.53] | [3.53, 4.51] | [5.06, 5.8] | [1, 1] |
C7 | [0.19, 0.22] | [0.26, 0.32] | [3.74, 3.98] | [1.35, 1.92] | [3.02, 3.26] | [0.31, 0.33] |
C8 | [0.23, 0.29] | [0.39, 0.49] | [2.27, 2.94] | [2.19, 2.91] | [3.74, 3.98] | [0.34, 0.38] |
C9 | [0.50, 1.08] | [2.19, 3.52] | [7.17, 8.22] | [4.66, 6.15] | [6.19, 7.45] | [1.34, 2.23] |
Alternative | R’D-R-MAIRCA | R’D-R-MULTIMOORA | R’D-R-COPRAS | R’D-R-MABAC | R’D-R-EDAS | ||||||||||
Value | Rank | Value | Rank | Value | Rank | Value | Rank | Value | Rank | ||||||
A1 | −0.243 | 1.540 | 6 | 0.778 | 4.055 | 6 | 63.32 | 83.67 | 6 | −9.508 | 8.469 | 6 | 0.892 | −3.690 | 5 |
A2 | −0.324 | 1.449 | 4 | 0.962 | 4.392 | 3 | 79.70 | 87.89 | 3 | −9.053 | 8.875 | 4 | 1.021 | 3.139 | 4 |
A3 | −0.543 | 1.394 | 2 | 1.059 | 5.080 | 2 | 88.60 | 93.74 | 2 | −8.779 | 9.968 | 2 | 1.086 | 9.949 | 2 |
A4 | −0.402 | 1.454 | 3 | 0.858 | 4.406 | 4 | 78.93 | 88.10 | 4 | −9.079 | 9.263 | 3 | 1.057 | 7.073 | 3 |
A5 | −0.696 | 1.332 | 1 | 1.150 | 5.402 | 1 | 100.00 | 100.00 | 1 | −8.470 | 10.73 | 1 | 1.075 | 12.053 | 1 |
A6 | −0.170 | 1.463 | 5 | 0.933 | 4.137 | 5 | 77.23 | 78.93 | 5 | −9.123 | 8.106 | 5 | 0.960 | −3.913 | 6 |
Alternative | R’A-R-MAIRCA | R’A-R-MULTIMOORA | R’A-R-COPRAS | R’A-R-MABAC | R’A-R-EDAS | ||||||||||
Value | Rank | Value | Rank | Value | Rank | Value | Rank | Value | Rank | ||||||
A1 | 0.024 | 0.628 | 3 | 0.711 | 2.103 | 4 | 90.72 | 100.00 | 3 | −2.638 | 2.919 | 3 | 0.759 | 0.255 | 5 |
A2 | 0.115 | 0.595 | 5 | 0.796 | 1.991 | 5 | 93.58 | 91.70 | 5 | −2.470 | 2.466 | 5 | 1.056 | 2.312 | 4 |
A3 | 0.064 | 0.568 | 2 | 0.928 | 2.320 | 2 | 98.60 | 92.26 | 2 | −2.334 | 2.721 | 2 | 1.205 | 4.461 | 2 |
A4 | 0.075 | 0.599 | 4 | 0.810 | 2.151 | 3 | 94.25 | 92.67 | 4 | −2.489 | 2.668 | 4 | 1.148 | 3.928 | 3 |
A5 | 0.034 | 0.560 | 1 | 0.966 | 2.420 | 1 | 100.00 | 95.39 | 1 | −2.295 | 2.872 | 1 | 1.195 | 4.844 | 1 |
A6 | 0.225 | 0.650 | 6 | 0.820 | 1.982 | 6 | 83.13 | 80.28 | 6 | −2.746 | 1.915 | 6 | 0.879 | −1.461 | 6 |
Methods | R’D-R-MAI RCA | R’D-R-MULTI MOORA | R’D-R-COP RAS | R’D-R-MA BAC | R’D-R- EDAS | R’A-R-MA IRCA | R’A-R-MULTI MOORA | R’A-R-COP RAS | R’A-R-MA BAC | R’A-R- EDAS | Average |
---|---|---|---|---|---|---|---|---|---|---|---|
R’D-R-MAIRCA | 1.000 | 0.943 | 0.943 | 1.000 | 0.943 | 0.657 | 0.829 | 0.657 | 0.657 | 0.943 | 0.857 |
R’D-R-MULTIMOORA | - | 1.000 | 1.000 | 0.943 | 0.886 | 0.600 | 0.714 | 0.600 | 0.600 | 0.886 | 0.803 |
R’D-R-COPRAS | - | - | 1.000 | 0.943 | 0.886 | 0.600 | 0.714 | 0.600 | 0.600 | 0.886 | 0.779 |
R’D-R-MABAC | - | - | - | 1.000 | 0.943 | 0.657 | 0.829 | 0.657 | 0.657 | 0.943 | 0.812 |
R'D-R-EDAS | - | - | - | - | 1.000 | 0.829 | 0.943 | 0.829 | 0.829 | 1.000 | 0.905 |
R’A-R-MAIRCA | - | - | - | - | - | 1.000 | 0.943 | 1.000 | 1.000 | 0.829 | 0.954 |
R’A-R-MULTIMOORA | - | - | - | - | - | - | 1.000 | 0.943 | 0.943 | 0.943 | 0.957 |
R’A-R-COPRAS | - | - | - | - | - | - | - | 1.000 | 1.000 | 0.829 | 0.943 |
R’A-R-MABAC | - | - | - | - | - | - | - | - | 1.000 | 0.829 | 0.915 |
R’A-R-EDAS | - | - | - | - | - | - | - | - | - | 1.000 | 1.000 |
Overall average | 0.893 |
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Stević, Ž.; Pamučar, D.; Vasiljević, M.; Stojić, G.; Korica, S. Novel Integrated Multi-Criteria Model for Supplier Selection: Case Study Construction Company. Symmetry 2017, 9, 279. https://doi.org/10.3390/sym9110279
Stević Ž, Pamučar D, Vasiljević M, Stojić G, Korica S. Novel Integrated Multi-Criteria Model for Supplier Selection: Case Study Construction Company. Symmetry. 2017; 9(11):279. https://doi.org/10.3390/sym9110279
Chicago/Turabian StyleStević, Željko, Dragan Pamučar, Marko Vasiljević, Gordan Stojić, and Sanja Korica. 2017. "Novel Integrated Multi-Criteria Model for Supplier Selection: Case Study Construction Company" Symmetry 9, no. 11: 279. https://doi.org/10.3390/sym9110279