Table 6 Variation in decision variables for Problems 4, 8, and 12.
Parameters | % Variation | Value | Crisp model | Fuzzy model | Cloudy fuzzy model | ||||||
|---|---|---|---|---|---|---|---|---|---|---|---|
\({T}_{1}\) | \({T}_{2}\) | TC | \({T}_{1}\) | \({T}_{2}\) | TC | \({T}_{1}\) | \({T}_{2}\) | TC | |||
T | −50% | 50 | 42.7834 | 14.658 | 100,681 | 34.671 | 13.386 | 97,281 | 42.67 | 13.839 | 104,691 |
−25% | 75 | 50.356 | 16.563 | 115,554 | 48.553 | 15.105 | 115,487 | 45.378 | 15.836 | 120,791 | |
0 | 100 | 68.8102 | 17.4725 | 155,102 | 68.7985 | 17.48 | 160,301 | 61.015 | 18.305 | 163,527 | |
25% | 125 | 91.675 | 18.476 | 181,458 | 89.128 | 7.682 | 190,286 | 64.7676 | 20.015 | 202,582 | |
50% | 150 | 112.687 | 19.0383 | 190,678 | 110.63 | 18.28 | 201,748 | 68.352 | 20.782 | 237,582 | |
r | −50% | 0.005 | 68.8102 | 19.572 | 201,561 | 68.7985 | 19.247 | 211,341 | 61.005 | 20.371 | 210,893 |
−25% | 0.0075 | 68.8102 | 18.573 | 172,521 | 68.7985 | 17.453 | 167,349 | 61.046 | 19.823 | 185,942 | |
0 | 0.01 | 68.8102 | 17.4725 | 155,102 | 68.7985 | 17.48 | 160,301 | 61.015 | 18.305 | 163,527 | |
25% | 0.0125 | 68.8102 | 16.9362 | 134,628 | 68.7985 | 16.125 | 140,682 | 61.792 | 17.176 | 144,731 | |
50% | 0.015 | 68.8102 | 15.9351 | 118,812 | 68.7985 | 15.791 | 121,856 | 61.856 | 16.783 | 128,864 | |
λ | −50% | 0.75 | 76.563 | 17.4725 | 77,103 | 76.672 | 17.48 | 80,946 | 76.62 | 18.305 | 93,673 |
−25% | 1.125 | 72.057 | 17.4725 | 117,561 | 70.765 | 17.48 | 121,387 | 69.285 | 18.305 | 132,065 | |
0 | 1.5 | 68.8102 | 17.4725 | 155,102 | 68.7985 | 17.48 | 160,301 | 61.015 | 18.305 | 163,527 | |
25% | 1.875 | 65.75 | 17.4725 | 186,534 | 62.745 | 17.48 | 193,934 | 61.006 | 18.305 | 190,784 | |
50% | 2.25 | 63.671 | 17.4725 | 217,67 | 61.674 | 17.48 | 220,562 | 60.583 | 18.305 | 214,856 | |
α | −50% | 30 | 67.128 | 17.4725 | 112,562 | 64.452 | 17.48 | 113,748 | 60.657 | 18.305 | 117,645 |
−25% | 45 | 67.784 | 17.4725 | 140,142 | 65.056 | 17.48 | 142,783 | 60.845 | 18.305 | 145,487 | |
0 | 60 | 68.8102 | 17.4725 | 155,102 | 68.7985 | 17.48 | 160,301 | 61.015 | 18.305 | 163,527 | |
25% | 75 | 71.067 | 17.4725 | 163,76 | 69.623 | 17.48 | 167,572 | 65.674 | 18.305 | 181,356 | |
50% | 90 | 74.613 | 17.4725 | 173,177 | 73.934 | 17.48 | 180,934 | 65.658 | 18.305 | 205,955 | |