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

Table 35

Results of the IT2XB validation index to the clustering of image shown in Figure 2(c) using IT2FPCM and IT2FCM algorithm with = [1.5, 2.5] and = [1.5, 2.5] as parameters.

Index of validation IT2XB
Image	Clusters	IT2FPCM			IT2FCM
		Defuzz	Lower	Upper	Defuzz	Lower	Upper
Figure 2(c)	2	0.07255	0.04993	0.09517	0.07255	0.04993	0.09517
	3	0.12235	0.07282	0.17187	0.12235	0.07282	0.17187
	4	0.20659	0.11269	0.30048	0.20658	0.11269	0.30048
	5	0.14144	0.07037	0.21252	0.14144	0.07037	0.21252
	6	0.14983	0.07128	0.22839	0.14983	0.07128	0.22838
	7	0.18642	0.08317	0.28966	0.18641	0.08317	0.28965
	8	0.18905	0.08034	0.29777	0.18869	0.08021	0.29718
	9	0.18358	0.07500	0.29216	0.18937	0.07724	0.30150
	10	0.18118	0.07167	0.29068	0.18252	0.07222	0.29283