Analysis and Realization of Sampling Strategy in Coordinate Metrology

Table 3

Conversion of gathered data into trapezoidal fuzzy numbers.

Parameters		CA (mm)	Time taken (min)	Fuzzy numbers
Sample size	Point distribution			CA	Measurement time
22	Hammersley	0.0387	0.9500	(0.0251, 0.0334, 0.0417, 0.05)	(0.1, 0.3, 0.7, 1)
45		0.0371	2.0833	(0.0251, 0.0334, 0.0417, 0.05)	(1.01, 3.33, 5.66, 8)
90		0.0300	4.1500	(0.0251, 0.0334, 0.0417, 0.05)	(1.01, 3.33, 5.66, 8)
180		0.0253	8.3167	(0.0251, 0.0334, 0.0417, 0.05)	(8.01, 10.4, 12.7, 15)
360		0.0228	16.6500	(0.011, 0.0157, 0.0203, 0.025)	(15.01, 20.07, 25.04, 30)
720		0.0149	33.1667	(0.011, 0.0157, 0.0203, 0.025)	(30.01, 36.73, 43.36, 50)
22	Halton-Zaremba	0.0392	1.3000	(0.0251, 0.0334, 0.0417, 0.05)	(1.01, 3.33, 5.66, 8)
45		0.0334	2.0333	(0.0251, 0.0334, 0.0417, 0.05)	(1.01, 3.33, 5.66, 8)
90		0.0282	4.0667	(0.0251, 0.0334, 0.0417, 0.05)	(1.01, 3.33, 5.66, 8)
180		0.0256	8.1967	(0.0251, 0.0334, 0.0417, 0.05)	(8.01, 10.4, 12.7, 15)
360		0.0248	16.4333	(0.011, 0.0157, 0.0203, 0.025)	(15.01, 20.07, 25.04, 30)
720		0.0177	33.3667	(0.011, 0.0157, 0.0203, 0.025)	(30.01, 36.73, 43.36, 50)
22	Poisson	0.0415	1.2000	(0.0251, 0.0334, 0.0417, 0.05)	(1.01, 3.33, 5.66, 8)
45		0.0303	1.9667	(0.0251, 0.0334, 0.0417, 0.05)	(1.01, 3.33, 5.66, 8)
90		0.0292	3.6667	(0.0251, 0.0334, 0.0417, 0.05)	(1.01, 3.33, 5.66, 8)
180		0.0244	6.9667	(0.011, 0.0157, 0.0203, 0.025)	(1.01, 3.33, 5.66, 8)
360		0.0182	15.1167	(0.011, 0.0157, 0.0203, 0.025)	(15.01, 20.07, 25.04, 30)
720		0.0061	30.0500	(0.0011, 0.00407, 0.00704, 0.01)	(30.01, 36.73, 43.36, 50)
22	Random	0.0419	1.2667	(0.0251, 0.0334, 0.0417, 0.05)	(1.01, 3.33, 5.66, 8)
45		0.0370	2.0667	(0.0251, 0.0334, 0.0417, 0.05)	(1.01, 3.33, 5.66, 8)
90		0.0349	4.0500	(0.0251, 0.0334, 0.0417, 0.05)	(1.01, 3.33, 5.66, 8)
180		0.0276	8.1333	(0.0251, 0.0334, 0.0417, 0.05)	(8.01, 10.4, 12.7, 15)
360		0.0211	16.1333	(0.011, 0.0157, 0.0203, 0.025)	(15.01, 20.07, 25.04, 30)
720		0.0016	32.8833	(0.0011, 0.00407, 0.00704, 0.01)	(30.01, 36.73, 43.36, 50)
22	Grid	0.0394	1.1667	(0.0251, 0.0334, 0.0417, 0.05)	(1.01, 3.33, 5.66, 8)
45		0.0352	1.8167	(0.0251, 0.0334, 0.0417, 0.05)	(1.01, 3.33, 5.66, 8)
90		0.0325	3.3333	(0.0251, 0.0334, 0.0417, 0.05)	(1.01, 3.33, 5.66, 8)
180		0.0290	6.5333	(0.0251, 0.0334, 0.0417, 0.05)	(1.01, 3.33, 5.66, 8)
360		0.0272	15.0167	(0.0251, 0.0334, 0.0417, 0.05)	(15.01, 20.07, 25.04, 30)
720		0.0183	26.0833	(0.011, 0.0157, 0.0203, 0.025)	(15.01, 20.07, 25.04, 30)