An Extension of the Fuzzy Possibilistic Clustering Algorithm Using Type-2 Fuzzy Logic Techniques

Table 2

Results of the IT2PE validation index for WDBC dataset clustering using IT2FPCM and IT2FCM algorithms with = [1.5, 2] and = [1.5, 2.5] as parameters.

Index validation IT2PE
Dataset	Clusters	IT2FPCM			IT2FCM
		Defuzz	Lower	Upper	Defuzz	Lower	Upper
WDBC	2	0.12504	0.10470	0.14539	0.12531	0.10476	0.14585
	3	0.19601	0.15366	0.23835	0.20312	0.16011	0.24613
	4	0.29863	0.24209	0.35517	0.29892	0.24215	0.35569
	5	0.34488	0.26872	0.42105	0.34477	0.26853	0.42100
	6	0.39213	0.30051	0.48375	0.39355	0.30176	0.48533
	7	0.42646	0.32156	0.53137	0.42798	0.32287	0.53310
	8	0.43077	0.32277	0.53877	0.43215	0.32387	0.54044
	9	0.45241	0.33526	0.56956	0.45486	0.33697	0.57276
	10	0.48363	0.35382	0.61344	0.48387	0.35353	0.61421