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Table 3 Center 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

 

Center \(\phantom {\dot {i}\!}(v_{c*r})\)

Before optimization

0.0590

0.0590

0.0590

53.0500

53.0500

53.0500

 

0.9840

0.9840

0.9840

55.5333

55.5333

55.5333

 

1.4465

1.4465

1.4465

56.7750

56.7750

56.7750

 

1.7240

1.7240

1.7240

57.5200

57.5200

57.5200

After optimization

−1.5724

−1.57394

−1.5724

48.9316

48.9559

48.9836

 

−0.3519

−0.3570

−0.3575

52.2294

52.2705

52.3161

 

0.6625

0.6535

0.6506

55.2552

55.2838

55.3178

 

1.6878

1.6819

1.6806

58.1957

58.2380

58.2777