Data and Feature Reduction in Fuzzy Modeling through Particle Swarm Optimization

Table 4

Results for housing data; the number of clusters is set to 4, 𝑐=4; κ is the ratio of the number of selected data versus the number of selected features.

Feature	Data = 10%		Data = 20%		Data = 30%		Data = 40%		Data = 50%		Data = 60%		Data = 70%		Data = 80%		Data = 90%		Data = 100%
	(# of data = 51)		(# of data = 101)		(# of data = 152)		(# of data = 202)		(# of data = 253)		(# of data = 304)		(# of data = 354)		(# of data = 405)		(# of data = 455)		(# of data = 506)
	𝜅	RMSE	𝜅	RMSE	𝜅	RMSE	𝜅	RMSE	𝜅	RMSE	𝜅	RMSE	𝜅	RMSE	𝜅	RMSE	𝜅	RMSE	𝜅	RMSE
10%	51.0	6.341±0.253	101.0	6.262±0.171	152.0	5.777±0.207	202.0	6.227±0.351	253.0	6.389±0.063	304	6.483±0.214	354.0	6.610±0.211	405.0	6.387±0.026	455.0	6.655 ± 0.061	506	7.437 ± 0
20%	17.0	6.664±0.233	33.7	5.389±0.253	50.7	5.191±0.185	67.3	4.884±0.118	84.3	4.805±0.047	101	4.882±0.080	118.0	4.906±0.040	135.0	5.011±0.077	151.7	5.149 ± 0.071	169	5.039 ± 0.096
30%	12.8	6.127±0.245	25.3	5.468±0.290	38.0	4.853±0.183	50.5	4.574±0.078	63.3	4.619±0.294	76	4.45±0.092	88.5	4.398±0.035	101.3	4.56±0.053	113.8	4.536 ± 0.026	127	4.578 ± 0.01
40%	10.2	6.321±0.518	20.2	5.122±0.245	30.4	4.626±0.075	40.4	4.362±0.190	50.6	4.172±0.123	60.8	4.06±0.099	70.8	4.126±0.105	81.0	4.18±0.177	91.0	4.343 ± 0.026	101	4.233 ± 0.079
50%	7.3	7.126±0.835	14.4	5.046±0.312	21.7	4.574±0.206	28.9	4.018±0.109	36.1	3.916±0.224	43.4	3.927±0.089	50.6	4.009±0.093	57.9	4.085±0.132	65.0	4.077 ± 0.092	72.3	4.005 ± 0.082
60%	6.4	8.133±0.782	12.6	5.120±0.189	19.0	4.504±0.207	25.3	4.052±0.196	31.6	3.912±0.120	38	3.935±0.129	44.3	3.934±0.035	50.6	3.923±0.117	56.9	3.931 ± 0.102	63.3	3.803 ± 0.088
70%	5.7	9.379±0.984	11.2	5.003±0.232	16.9	4.345±0.134	22.4	3.949±0.125	28.1	3.721±0.071	33.8	3.722±0.065	39.3	3.722±0.066	45.0	3.787±0.046	50.6	3.799 ± 0.041	56.2	3.668 ± 0.043
80%	5.1	10.57±2.251	10.1	5.107±0.262	15.2	4.232±0.173	20.2	3.67±0.093	25.3	3.617±0.108	30.4	3.659±0.128	35.4	3.568±0.064	40.5	3.567±0.086	45.5	3.645 ± 0.065	50.6	3.526 ± 0.049
90%	4.3	24.05±7.681	8.4	5.324±0.207	12.7	4.173±0.181	16.8	3.809±0.080	21.1	3.652±0.050	25.3	3.569±0.028	29.5	3.555±0.017	33.8	3.533±0.016	37.9	3.541±0.015	42.2	3.550±0
100%	3.9	44.39±17.65	7.8	5.409±0.201	11.7	4.082±0.047	15.5	3.781±0.055	19.5	3.687±0.038	23.4	3.654±0.015	27.2	3.631±0.021	31.2	3.615±0.011	35.0	3.605±0.015	38.9	4.023±0