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

Table 26

Results of the IT2PE validation index to the clustering of image shown in Figure 2(a) using IT2FPCM and IT2FCM algorithms 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(a)	2	0.27752	0.24869	0.30635	0.27753	0.24869	0.30637
	3	0.38492	0.30127	0.46858	0.38494	0.30128	0.46861
	4	0.47242	0.34265	0.60219	0.47244	0.34267	0.60222
	5	0.52743	0.36020	0.69467	0.52746	0.36022	0.69470
	6	0.56679	0.36941	0.76416	0.56682	0.36943	0.76421
	7	0.60220	0.37799	0.82641	0.60223	0.37800	0.82646
	8	0.63271	0.38504	0.88037	0.63277	0.38508	0.88045
	9	0.66060	0.39199	0.92922	0.66067	0.39201	0.92933
	10	0.68623	0.39829	0.97417	0.68643	0.39838	0.97449