Table A1.

Performance comparisons of ten involved algorithms on TI_T 2_1 to TI_T 2_6.

Data sets	Validity Metrics	FCM	LSSMTC	CombKM	DRCC	CKM	SFCM	STC	TSC	KL-TFCM-c	KL-TFCM-f
TI_T2_1	NMI-mean	0.0670	0.1250	0.0491	0.1745	0.1572	0.1812	0.2593	0.2723	0.3444	0.3372
	NMI-std	0.0033	0.0217	0.0020	0.0221	0.0056	0.0083	0.0213	0.0059	0.0062	0.0095
	RI-mean	0.7501	0.6545	0.5101	0.6901	0.7671	0.6898	0.7979	0.8000	0.8158	0.8111
	RI-std	0.0051	0.0108	0.0339	0.0045	0.0036	0.0125	0.0072	0.0023	0.0057	0.0090
TI_T2_2	NMI-mean	0.0217	0.0903	0.0330	0.1016	0.1190	0.1061	0.2077	0.2403	0.2804	0.2839
	NMI-std	0.0011	0.0014	0.0037	0.0086	0.0152	0.0067	0.0073	0.0041	0.0227	0.0199
	RI-mean	0.7422	0.7015	0.5855	0.7147	0.7543	0.6831	0.7830	0.7845	0.7958	0.7984
	RI-std	0.0012	0.0059	0.0033	0.0134	0.0037	0.0178	0.0024	0.0082	0.0113	0.0087
TI_T2_3	NMI-mean	0.3207	–	0.4122	–	0.1201	–	–	–	0.4685	0.5036
	NMI-std	0.0100	–	0.0008	–	0.0167	–	–	–	0.0002	0
	RI-mean	0.6977	–	0.7542	–	0.6042	–	–	–	0.7757	0.7886
	RI-std	0.0066	–	0.0006	–	0.0123	–	–	–	0.0001	0
TI_T2_4	NMI-mean	0.1005	–	0.3032	–	0.1355	–	–	–	0.3755	0.4179
	NMI-std	0.0146	–	0.0023	–	0.0046	–	–	–	0.0173	0.0005
	RI-mean	0.6564	–	0.7104	–	0.6660	–	–	–	0.7448	0.7633
	RI-std	0.0063	–	0.0011	–	0.0019	–	–	–	0.0058	0.0001
TI_T2_5	NMI-mean	0.1249	–	0.2691	–	0.1597	–	–	–	0.3081	0.3465
	NMI-std	0.0077	–	0.0124	–	0.0067	–	–	–	0.0449	0.0150
	RI-mean	0.7052	–	0.7378	–	0.7064	–	–	–	0.7587	0.7623
	RI-std	0.0049	–	0.0158	–	0.0089	–	–	–	0.0224	0.0082
TI_T2_6	NMI-mean	0.1727	–	0.3022	–	0.1846	–	–	–	0.3419	0.3851
	NMI-std	0.0078	–	0.0131	–	0.0249	–	–	–	0.0216	0.0069
	RI-mean	0.7394	–	0.7677	–	0.7393	–	–	–	0.7877	0.7938
	RI-std	0.0069	–	0.0361	–	0.0052	–	–	–	0.0076	0.0008