Performance Analysis of Extracted Rule-Base Multivariable Type-2 Self-Organizing Fuzzy Logic Controller Applied to Anesthesia

Table 4

Mean and standard deviation of steady state errors and control stabilities of type-1/interval type-2/zSlice general type-2 SOFLC with results of Wilcoxon signed-rank test.

Controller performance	Noise strength	Type	Stage-1 MR	Stage-1 BP	Stage-2 MR	Stage-2 BP
Steady state errors	0.1	1	0.0152 (±) 0.0095	1.3083 (±) 1.3780	0.0622 (±) 0.0229	3.2880 (±) 2.2323
		Interval	0.0057 (±) 0.0013^a	0.1003 (±) 0.0083^a	0.0058 (±) 0.0010^a	0.1160 (±) 0.0085^a
		General	0.0022 (±) 0.0007^bc	0.1517 (±) 0.1277^b	0.0062 (±) 0.0006^b	0.0309 (±) 0.0206^bc
	0.2	1	0.0177 (±) 0.0096	2.4974 (±) 1.3428	0.0697 (±) 0.0143	4.1290 (±) 1.6087
		Interval	0.0049 (±) 0.0019^a	0.1673 (±) 0.0406^a	0.0036 (±) 0.0014^a	0.0559 (±) 0.0115^a
		General	0.0065 (±) 0.0017^b	0.0253 (±) 0.0189^bc	0.0098 (±) 0.0011^b	0.0778 (±) 0.0180^b
Control stabilities	0.1	1	0.0287 (±) 0.0094	0.6072 (±) 0.3510	0.0159 (±) 0.0005	0.6397 (±) 0.1502
		Interval	0.0096 (±) 0.0009^a	0.0055 (±) 0.0009^a	0.0092 (±) 0.0009^a	0.0052 (±) 0.0006^a
		General	0.0141 (±) 0.0077^b	0.0221 (±) 0.0390^b	0.0110 (±) 0.0012^b	0.0071 (±) 0.0017^b
	0.2	1	0.0251 (±) 0.0089	0.8879 (±) 0.3405	0.0194 (±) 0.0036	1.1542 (±) 0.3877
		Interval	0.0145 (±) 0.0019^a	0.0104 (±) 0.0018^a	0.0149 (±) 0.0018^a	0.0115 (±) 0.0026^a
		General	0.0183 (±) 0.0021^b	0.0190 (±) 0.0047^b	0.0170 (±) 0.0013^b	0.0167 (±) 0.0035^b

Accept hypothesis: interval type-2 SOFLC is better than type-1 SOFLC.
^bAccept hypothesis: zSlice general type-2 SOFLC is better than type-1 SOFLC.
^cAccept hypothesis: zSlice general type-2 SOFLC is better than interval type-2 SOFLC.