Mathematical Problems in Engineering / 2019 / Article / Tab 3

Research Article

Analysis and Realization of Sampling Strategy in Coordinate Metrology

Table 3

Conversion of gathered data into trapezoidal fuzzy numbers.

ParametersCA (mm)Time taken (min)Fuzzy numbers
Sample sizePoint distributionCAMeasurement time

22Hammersley0.03870.9500(0.0251, 0.0334, 0.0417, 0.05)(0.1, 0.3, 0.7, 1)
450.03712.0833(0.0251, 0.0334, 0.0417, 0.05)(1.01, 3.33, 5.66, 8)
900.03004.1500(0.0251, 0.0334, 0.0417, 0.05)(1.01, 3.33, 5.66, 8)
1800.02538.3167(0.0251, 0.0334, 0.0417, 0.05)(8.01, 10.4, 12.7, 15)
3600.022816.6500(0.011, 0.0157, 0.0203, 0.025)(15.01, 20.07, 25.04, 30)
7200.014933.1667(0.011, 0.0157, 0.0203, 0.025)(30.01, 36.73, 43.36, 50)

22Halton-Zaremba0.03921.3000(0.0251, 0.0334, 0.0417, 0.05)(1.01, 3.33, 5.66, 8)
450.03342.0333(0.0251, 0.0334, 0.0417, 0.05)(1.01, 3.33, 5.66, 8)
900.02824.0667(0.0251, 0.0334, 0.0417, 0.05)(1.01, 3.33, 5.66, 8)
1800.02568.1967(0.0251, 0.0334, 0.0417, 0.05)(8.01, 10.4, 12.7, 15)
3600.024816.4333(0.011, 0.0157, 0.0203, 0.025)(15.01, 20.07, 25.04, 30)
7200.017733.3667(0.011, 0.0157, 0.0203, 0.025)(30.01, 36.73, 43.36, 50)

22Poisson0.04151.2000(0.0251, 0.0334, 0.0417, 0.05)(1.01, 3.33, 5.66, 8)
450.03031.9667(0.0251, 0.0334, 0.0417, 0.05)(1.01, 3.33, 5.66, 8)
900.02923.6667(0.0251, 0.0334, 0.0417, 0.05)(1.01, 3.33, 5.66, 8)
1800.02446.9667(0.011, 0.0157, 0.0203, 0.025)(1.01, 3.33, 5.66, 8)
3600.018215.1167(0.011, 0.0157, 0.0203, 0.025)(15.01, 20.07, 25.04, 30)
7200.006130.0500(0.0011, 0.00407, 0.00704, 0.01)(30.01, 36.73, 43.36, 50)

22Random0.04191.2667(0.0251, 0.0334, 0.0417, 0.05)(1.01, 3.33, 5.66, 8)
450.03702.0667(0.0251, 0.0334, 0.0417, 0.05)(1.01, 3.33, 5.66, 8)
900.03494.0500(0.0251, 0.0334, 0.0417, 0.05)(1.01, 3.33, 5.66, 8)
1800.02768.1333(0.0251, 0.0334, 0.0417, 0.05)(8.01, 10.4, 12.7, 15)
3600.021116.1333(0.011, 0.0157, 0.0203, 0.025)(15.01, 20.07, 25.04, 30)
7200.001632.8833(0.0011, 0.00407, 0.00704, 0.01)(30.01, 36.73, 43.36, 50)

22Grid0.03941.1667(0.0251, 0.0334, 0.0417, 0.05)(1.01, 3.33, 5.66, 8)
450.03521.8167(0.0251, 0.0334, 0.0417, 0.05)(1.01, 3.33, 5.66, 8)
900.03253.3333(0.0251, 0.0334, 0.0417, 0.05)(1.01, 3.33, 5.66, 8)
1800.02906.5333(0.0251, 0.0334, 0.0417, 0.05)(1.01, 3.33, 5.66, 8)
3600.027215.0167(0.0251, 0.0334, 0.0417, 0.05)(15.01, 20.07, 25.04, 30)
7200.018326.0833(0.011, 0.0157, 0.0203, 0.025)(15.01, 20.07, 25.04, 30)

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