Mathematical Problems in Engineering / 2019 / Article / Tab 1

Research Article

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)

VariableLinguistic valuesRange Fuzzy numbers

CAVery Low≤ 0.001(0.0001, 0.0003, 0.0006, 0.001)
Low0.0011 - 0.010(0.0011, 0.00407, 0.00704, 0.01)
Middle0.011-0.025(0.011, 0.0157, 0.0203, 0.025)
High0.0251-0.05(0.0251, 0.0334, 0.0417, 0.05)
Very High> 0.05(0.051, 0.367, 0.683, 1)

Measurement timeVery Low≤ 1(0.1, 0.3, 0.7, 1)
Low1.1-8(1.01, 3.33, 5.66, 8)
Middle8.1-15(8.01, 10.4, 12.7, 15)
High15.1-30(15.01, 20.07, 25.04, 30)
Very High> 30(30.01, 36.73, 43.36, 50)

(b)

VariableLinguistic valuesRangeFuzzy numbers

CAVery Low≤ 0.001(0.0001, 0.0003, 0.0006, 0.001)
Low0.0011 - 0.01(0.0011, 0.00407, 0.00704, 0.01)
Middle0.011-0.015(0.011, 0.0123, 0.0136, 0.015)
High0.0151-0.0200(0.0151, 0.0167, 0.0184, 0.02)
Very High> 0.020(0.021, 0.347, 0.673, 1)

Measurement timeVery Low≤ 1(0.1, 0.3, 0.7, 1)
Low1.01-5(1.01, 2.34, 3.67, 5)
Middle5.01-10(5.01, 6.673, 8.336, 10)
High10.01-20(10.01, 13.34, 16.67, 20)
Very High> 20(20.01, 30, 39.99, 50)

(c)

VariableLinguistic valuesRange Fuzzy numbers

CAVery Low≤ 0.001(0.0001, 0.0003, 0.0006, 0.001)
Low0.0011 - 0.0050(0.0011, 0.0024, 0.0037, 0.005)
Middle0.0051-0.015(0.0051, 0.0084, 0.0117, 0.015)
High0.0151-0.0200(0.0151, 0.0167, 0.0184, 0.02)
Very High> 0.020(0.021, 0.347, 0.673, 1)

Measurement timeVery Low≤ 1(0.1, 0.3, 0.7, 1)
Low1.01-3(1.01, 1.67, 2.33, 3)
Middle3.01-8(3.01, 4.673, 6.336, 8)
High8.01-15(8.01, 10.34, 12.67, 15)
Very High> 15(15.01, 26.673, 38.336, 50)

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