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Table 1 Center and width of Gaussian membership functions before and after optimization for the nonlinear difference equation example

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

 

Before optimization

After optimization

Center (vc∗r)

−0.1430

0.7568

0.7568

−1.5403

−1.6843

−1.6839

 

0.6456

2.2100

2.2100

−0.4553

−0.4047

−0.4027

 

0.9755

2.9367

2.9367

0.6287

1.0216

1.0139

 

1.1735

3.3726

3.3726

1.6045

2.5294

2.5254

Width (bc∗r)

0.4000

0.4000

0.4000

2.4092

1.0312

1.0561

 

0.4000

0.4000

0.4000

3.0067

3.4380

3.2153

 

0.4000

0.4000

0.4000

4.6322

0.7850

0.6624

 

0.4000

0.4000

0.4000

5.9032

1.8199

1.5576