A New Similarity Measure of Generalized Trapezoidal Fuzzy Numbers and Its Application on Rotor Fault Diagnosis
Table 1
The comparison of the calculation results of the proposed similarity measure and the existing similarity measures.
Sets
Chen’s method
Lee’s method
Chen and Chen’s method
Wei and Chen’s method
Wen and Zhou’s method
The proposed method
Set 1
0.7000
0.4965
0.4200
0.6820
0.7018
0.6567
Set 2
0.7000
0.5000
0.4900
0.7000
0.7408
0.7071
Set 3
1
1
0.8000
0.8248
0.8324
0.8763
Set 4
0.7000
0.3675
0.4900
0.6222
0.5875
0.4743
Set 5
0.7000
0.2500
0.4900
0.7000
0.7408
0.7071
Set 6
1
1
0.7000
0.7209
0.7291
0.8218
Set 7
0.9500
0.6464
0.9048
0.6215
0.6061
0.2810
Set 8
1
#
0.5000
0.5000
0.5000
0.5000
Set 9
−2
0.5000
4
−2
0.0498
0.7071
Set 10
−4
0.9180
22.6667
−3.3481
0.0011
0.8736
Set 11
−4
0.9412
22.6667
−3.5314
0.0011
0.9079
Set 12
−1
0
1
−1
0.1353
0.1353
Note: “#” means that the similarity measure cannot calculate the degree of similarity between two generalized fuzzy numbers.
“bold” means incorrect results.
