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

Table 30

Results of the IT2PE validation index to the clustering of image shown in Figure 2(b) 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(b)	2	0.22538	0.18895	0.26181	0.22539	0.18895	0.26183
	3	0.32425	0.24288	0.40561	0.32427	0.24290	0.40564
	4	0.39445	0.27438	0.51452	0.39447	0.27440	0.51455
	5	0.44970	0.29589	0.60351	0.44973	0.29591	0.60355
	6	0.51026	0.32817	0.69236	0.51030	0.32819	0.69240
	7	0.55406	0.34735	0.76078	0.55410	0.34737	0.76083
	8	0.58858	0.36076	0.81639	0.58866	0.36084	0.81649
	9	0.61605	0.36984	0.86225	0.61608	0.36987	0.86229
	10	0.63779	0.37485	0.90074	0.63801	0.37496	0.90107