Table 3 Variation in decision variables for Problems 1, 5, and 9.
Parameters | % Variation | Value | Crisp model | Fuzzy model | Cloudy fuzzy model | |||
|---|---|---|---|---|---|---|---|---|
\({T}_{1}\) | TC | \({T}_{1}\) | TC | \({T}_{1}\) | TC | |||
T | −50% | 50 | 42.8545 | 101,62 | 41.81 | 103,522 | 46.105 | 165,387 |
−25% | 75 | 47.2301 | 104,785 | 45.455 | 105,272 | 48.3065 | 140,726 | |
0 | 100 | 49.29 | 137,212 | 49.80 | 140,222 | 51.210 | 150,405 | |
25% | 125 | 55.525 | 192,185 | 55.230 | 196,150 | 54.821 | 187,125 | |
50% | 150 | 59.785 | 260,203 | 59.81 | 274,119 | 58.9102 | 230,285 | |
r | −50% | 0.005 | 49.651 | 175,618 | 49.987 | 176,324 | 51.195 | 190,525 |
−25% | 0.0075 | 49.50 | 153,354 | 49.875 | 154,485 | 51.32 | 167,304 | |
0 | 0.01 | 49.29 | 137,212 | 49.80 | 140,222 | 51.210 | 150,405 | |
25% | 0.0125 | 49.291 | 123,501 | 49.123 | 124,826 | 51.378 | 130,395 | |
50% | 0.015 | 49.265 | 119,401 | 49.056 | 110,495 | 51.59 | 118,604 | |
λ | −50% | 0.75 | 47.0251 | 146,135 | 58.8561 | 952,812 | 60.256 | 95,541 |
−25% | 1.125 | 52.156 | 120,856 | 53.1237 | 120,785 | 55.012 | 127,129 | |
0 | 1.5 | 49.29 | 137,212 | 49.80 | 140,222 | 51.210 | 150,405 | |
25% | 1.875 | 46.935 | 148,376 | 47.912 | 151,095 | 48.576 | 160,876 | |
50% | 2.25 | 44.1851 | 156,905 | 45.865 | 160,865 | 46.912 | 175,012 | |
α | −50% | 30 | 34.001 | 107,501 | 34.501 | 112,208 | 36.5001 | 83,712 |
−25% | 45 | 42.051 | 130,127 | 42.517 | 134,204 | 44.080 | 129,910 | |
0 | 60 | 49.29 | 137,212 | 49.80 | 140,222 | 51.210 | 150,405 | |
25% | 75 | 55.12 | 138,932 | 56.137 | 140,172 | 57.763 | 160,218 | |
50% | 90 | 62.012 | 136,856 | 62.129 | 138,645 | 64.012 | 165,248 | |