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

Table 29

Results of the IT2MPE-DMFP validation index to data 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 IT2MPEDFP
Image	Clusters	IT2FPCM			IT2FCM
		Defuzz	Lower	Upper	Defuzz	Lower	Upper
Figure 2(b)	2	0.20780	0.22583	0.18978	0.20781	0.22584	0.18979
	3	0.35850	0.37345	0.34355	0.35852	0.37346	0.34358
	4	0.54660	0.54745	0.54574	0.54662	0.54748	0.54577
	5	0.84354	0.81276	0.87432	0.84357	0.81278	0.87436
	6	0.76870	0.72207	0.81534	0.76874	0.72208	0.81540
	7	0.91927	0.84436	0.99419	0.91977	0.84473	0.99480
	8	1.21142	1.07707	1.34578	1.20963	1.07551	1.34375
	9	1.16203	1.02427	1.29979	1.16137	1.02366	1.29909
	10	1.51477	1.30270	1.72684	1.51163	1.29979	1.72348