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

Table 43

Results of the IT2XB 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 validation IT2XB
Image	Clusters	IT2FPCM			IT2FCM
		Defuzz	Lower	Upper	Defuzz	Lower	Upper
Figure 2(e)	2	0.09682	0.06740	0.12625	0.09682	0.06740	0.12625
	3	0.08314	0.05171	0.11457	0.08314	0.05171	0.11457
	4	0.10315	0.05592	0.15038	0.10315	0.05592	0.15038
	5	0.08615	0.04418	0.12812	0.08615	0.04418	0.12811
	6	0.11084	0.05313	0.16855	0.11084	0.05313	0.16855
	7	0.11129	0.05049	0.17209	0.11129	0.05049	0.17209
	8	0.09285	0.04078	0.14492	0.09285	0.04078	0.14491
	9	0.10428	0.04261	0.16594	0.10423	0.04261	0.16586
	10	0.12035	0.04734	0.19336	0.12045	0.04736	0.19354