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

Table 18

Results of the IT2PE validation index to Abalone dataset clustering using IT2FPCM and IT2FCM algorithm with = [1.5, 2.5] and = [1.5, 2.5] as parameters.

Index of validation IT2PE
Dataset	Clusters	IT2FPCM			IT2FCM
		Defuzz	Lower	Upper	Defuzz	Lower	Upper
Abalone	2	0.28046	0.24561	0.31530	0.28088	0.24588	0.31587
	3	0.41503	0.33056	0.49950	0.41555	0.33088	0.50022
	4	0.51390	0.38126	0.64654	0.51451	0.38167	0.64735
	5	0.58848	0.40296	0.77400	0.58910	0.40341	0.77479
	6	0.65438	0.42798	0.88077	0.65645	0.42848	0.88441
	7	0.72528	0.46266	0.98791	0.72530	0.46222	0.98837
	8	0.77107	0.47984	1.06230	0.77356	0.48179	1.06533
	9	0.79848	0.48202	1.11494	0.80140	0.48452	1.11828
	10	0.81290	0.47804	1.14776	0.81251	0.47777	1.14725