Universal Approximation of a Class of Interval Type-2 Fuzzy Neural Networks in Nonlinear Identification

Table 3

RMSE (TRN/CHK) and 𝜍 values determined by ANFIS and IT2FNN models with 10 fold cross-validation for Mackey-Glass chaotic time series prediction with 𝜏=60.

SNR (dB); 𝜏=60	ANFIS			IT2FNN-0			IT2FNN-1			IT2FNN-2			IT2FNN-3
	TRN	CHK	𝜍	TRN	CHK	𝜍	TRN	CHK	𝜍	TRN	CHK	𝜍	TRN	CHK	𝜍
0	0.3403	0.3714	NA	0.2388	0.2687	37	0.2027	0.2135	35	0.1495	0.1536	34	0.1244	0.1444	31
10	0.1544	0.1714	NA	0.1312	0.1456	33	0.1069	0.1119	30	0.0805	0.0972	28	0.0532	0.0629	25
20	0.0929	0.1007	NA	0.0708	0.0781	28	0.0566	0.0594	26	0.0424	0.0485	24	0.0342	0.0355	21
30	0.0788	0.0847	NA	0.0526	0.0582	19	0.0411	0.0468	18	0.0309	0.0332	16	0.0227	0.0316	14
Free	0.0749	0.0799	NA	0.0414	0.0477	10	0.0321	0.0353	9	0.0251	0.0319	6	0.0215	0.0293	4