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

Table 31

Results of the IT2XB 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 IT2XB
Image	Clusters	IT2FPCM			IT2FCM
		Defuzz	Lower	Upper	Defuzz	Lower	Upper
Figure 2(b)	2	0.05906	0.04269	0.07544	0.05906	0.04269	0.07544
	3	0.06108	0.03734	0.08483	0.06108	0.03734	0.08483
	4	0.06307	0.03463	0.09150	0.06307	0.03463	0.09150
	5	0.06633	0.03419	0.09846	0.06633	0.03419	0.09846
	6	0.10278	0.04910	0.15646	0.10278	0.04910	0.15646
	7	0.11868	0.05438	0.18298	0.11862	0.05434	0.18289
	8	0.11918	0.05262	0.18574	0.11938	0.05273	0.18604
	9	0.14904	0.06355	0.23454	0.14913	0.06358	0.23468
	10	0.13597	0.05632	0.21562	0.13620	0.05641	0.21599