Analysis and Realization of Sampling Strategy in Coordinate Metrology

Table 1

Linguistic variable and corresponding fuzzy numbers for inspection regions: (a) 90x90 mm²; (b) 45x45 mm²; and (c) 22.5x22.5 mm².

(a)

Variable	Linguistic values	Range	Fuzzy numbers
CA	Very Low	≤ 0.001	(0.0001, 0.0003, 0.0006, 0.001)
	Low	0.0011 - 0.010	(0.0011, 0.00407, 0.00704, 0.01)
	Middle	0.011-0.025	(0.011, 0.0157, 0.0203, 0.025)
	High	0.0251-0.05	(0.0251, 0.0334, 0.0417, 0.05)
	Very High	> 0.05	(0.051, 0.367, 0.683, 1)
Measurement time	Very Low	≤ 1	(0.1, 0.3, 0.7, 1)
	Low	1.1-8	(1.01, 3.33, 5.66, 8)
	Middle	8.1-15	(8.01, 10.4, 12.7, 15)
	High	15.1-30	(15.01, 20.07, 25.04, 30)
	Very High	> 30	(30.01, 36.73, 43.36, 50)

(b)

Variable	Linguistic values	Range	Fuzzy numbers
CA	Very Low	≤ 0.001	(0.0001, 0.0003, 0.0006, 0.001)
	Low	0.0011 - 0.01	(0.0011, 0.00407, 0.00704, 0.01)
	Middle	0.011-0.015	(0.011, 0.0123, 0.0136, 0.015)
	High	0.0151-0.0200	(0.0151, 0.0167, 0.0184, 0.02)
	Very High	> 0.020	(0.021, 0.347, 0.673, 1)
Measurement time	Very Low	≤ 1	(0.1, 0.3, 0.7, 1)
	Low	1.01-5	(1.01, 2.34, 3.67, 5)
	Middle	5.01-10	(5.01, 6.673, 8.336, 10)
	High	10.01-20	(10.01, 13.34, 16.67, 20)
	Very High	> 20	(20.01, 30, 39.99, 50)

(c)

Variable	Linguistic values	Range	Fuzzy numbers
CA	Very Low	≤ 0.001	(0.0001, 0.0003, 0.0006, 0.001)
	Low	0.0011 - 0.0050	(0.0011, 0.0024, 0.0037, 0.005)
	Middle	0.0051-0.015	(0.0051, 0.0084, 0.0117, 0.015)
	High	0.0151-0.0200	(0.0151, 0.0167, 0.0184, 0.02)
	Very High	> 0.020	(0.021, 0.347, 0.673, 1)
Measurement time	Very Low	≤ 1	(0.1, 0.3, 0.7, 1)
	Low	1.01-3	(1.01, 1.67, 2.33, 3)
	Middle	3.01-8	(3.01, 4.673, 6.336, 8)
	High	8.01-15	(8.01, 10.34, 12.67, 15)
	Very High	> 15	(15.01, 26.673, 38.336, 50)