A New Similarity Measure of Generalized Trapezoidal Fuzzy Numbers and Its Application on Rotor Fault Diagnosis

Table 3

The fault template of rotor fault feature.

Fault feature	Fault feature parameters	Generalized trapezoidal fuzzy numbers
Rotor unbalance 𝑋	1𝑋	𝑋1= (0.1563, 0.1575, 0.1664, 0.1745; 1)
	2𝑋	𝑋2= (0.1359, 0.1436, 0.1528, 0.1552; 1)
	3𝑋	𝑋3= (0.1026, 0.1085, 0.1163, 0.1189; 1)
	Displacement	𝑋4= (4.2884, 4.3031, 4.3880, 4.4764; 1)
Rotor misalignment 𝑌	1𝑋	𝑌1= (0.1683, 0.1749, 0.1886, 0.1899; 1)
	2𝑋	𝑌2= (0.3118, 0.3211, 0.3375, 0.3432; 1)
	3𝑋	𝑌3= (0.2148, 0.2246, 0.2595, 0.2795; 1)
	Displacement	𝑌4= (4.4692, 4.5112, 4.8793, 5.0630; 1)