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Table 4 Width of Gaussian membership functions before and after optimization for the Box and Jenkins example (case 1)

From: T-S fuzzy systems optimization identification based on FCM and PSO

 

Width \(\phantom {\dot {i}\!}(b_{c*r})\)

Before optimization

0.4000

0.4000

0.4000

0.4000

0.4000

0.4000

 

0.4000

0.4000

0.4000

0.4000

0.4000

0.4000

 

0.4000

0.4000

0.4000

0.4000

0.4000

0.4000

 

0.4000

0.4000

0.4000

0.4000

0.4000

0.4000

After optimization

0.5915

0.2889

1.4532

2.4482

0.7629

4.0486

 

0.4509

1.0336

0.5369

1.1616

3.2833

1.1024

 

0.7113

3.0976

4.0372

0.3325

0.3561

0.4420

 

0.4605

0.5408

1.7274

0.9292

1.7803

1.9757