Mathematical Problems in Engineering

Research Article

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

Table 2

The result of 40 generalized trapezoidal fuzzy numbers .
Fault feature parametersRotor unbalanceRotor misalignment
Generalized trapezoidal fuzzy numberGeneralized trapezoidal fuzzy number
1 (0.1485, 0.1517, 0.1770, 0.2006; 1) (0.1567, 0.1600, 0.1793, 0.1834; 1)
(0.1518, 0.1523, 0.1669, 0.1820; 1) (0.1644, 0.1698, 0.1787, 0.1809; 1)
(0.1629, 0.1635, 0.1653, 0.1656; 1) (0.1625, 0.1794, 0.2069, 0.2038; 1)
(0.1606, 0.1611, 0.1622, 0.1630; 1) (0.1841, 0.1878, 0.1948, 0.1958; 1)
(0.1576, 0.1588, 0.1607, 0.1615; 1) (0.1736, 0.1773, 0.1835, 0.1857; 1)
2 (0.1210, 0.1426, 0.1651, 0.1665; 1) (0.3071, 0.3158, 0.3375, 0.3466; 1)
(0.1343, 0.1457, 0.1560, 0.1563; 1) (0.3079, 0.3196, 0.3361, 0.3388; 1)
(0.1420, 0.1444, 0.1491, 0.1534; 1) (0.3095, 0.3269, 0.3499, 0.3507; 1)
(0.1438, 0.1452, 0.1486, 0.1512; 1) (0.3215, 0.3287, 0.3413, 0.3510; 1)
(0.1382, 0.1402, 0.1453, 0.1488; 1) (0.3132, 0.3145, 0.3228, 0.3291; 1)
3 (0.0899, 0.1065, 0.1261, 0.1296; 1) (0.2338, 0.2522, 0.3022, 0.3218; 1)
(0.1044, 0.1074, 0.1116, 0.1131; 1) (0.2485, 0.2631, 0.2820, 0.2919; 1)
(0.0990, 0.1026, 0.1101, 0.1150; 1) (0.1865, 0.1878, 0.2556, 0.2991; 1)
(0.1059, 0.1095, 0.1138, 0.1158; 1) (0.2022, 0.2078, 0.2185, 0.2250; 1)
(0.1137, 0.1166, 0.1199, 0.1211; 1) (0.2031, 0.2120, 0.2390, 0.2595; 1)
Displacement (4.1820, 4.1933, 4.4181, 4.6660; 1) (4.7450, 4.7943, 5.1707, 5.3920; 1)
(4.3740, 4.3917, 4.4369, 4.4650; 1) (4.3910, 4.4618, 4.7070, 4.8610; 1)
(4.3190, 4.3452, 4.3799, 4.3890; 1) (4.0940, 4.0343, 4.8373, 5.2340; 1)
(4.2800, 4.2889, 4.3387, 4.4000; 1) (4.6650, 4.7705, 5.0505, 5.1510; 1)
(4.2870, 4.2962, 4.3662, 4.4620; 1) (4.4510, 4.4953, 4.6309, 4.6770; 1)