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

Table 42

Results of the IT2PE validation index to the clustering of image shown in Figure 2(e) using IT2FPCM and IT2FCM algorithm with = [1.5, 2.5] and = [1.5, 2.5] as parameters.

Index of validation IT2PE
Image	Clusters	IT2FPCM			IT2FCM
		Defuzz	Lower	Upper	Defuzz	Lower	Upper
Figure 2(e)	2	0.25722	0.22472	0.28971	0.25723	0.22473	0.28973
	3	0.34121	0.25920	0.42321	0.34122	0.25921	0.42324
	4	0.42472	0.30360	0.54583	0.42474	0.30362	0.54586
	5	0.48178	0.32465	0.63891	0.48181	0.32467	0.63894
	6	0.53382	0.34760	0.72005	0.53386	0.34762	0.72010
	7	0.55569	0.34695	0.76443	0.55573	0.34698	0.76448
	8	0.58706	0.35582	0.81830	0.58706	0.35580	0.81831
	9	0.62347	0.37038	0.87656	0.62353	0.37041	0.87665
	10	0.65010	0.37895	0.92124	0.65020	0.37899	0.92142