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

Table 34

Results of the IT2PE 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 IT2PE
Image	Clusters	IT2FPCM			IT2FCM
		Defuzz	Lower	Upper	Defuzz	Lower	Upper
Figure 2(c)	2	0.19464	0.16113	0.22815	0.19465	0.16114	0.22817
	3	0.33148	0.25917	0.40380	0.33150	0.25917	0.40383
	4	0.43944	0.32977	0.54911	0.43947	0.32978	0.54915
	5	0.47479	0.32064	0.62893	0.47481	0.32066	0.62897
	6	0.52781	0.34398	0.71165	0.52784	0.34399	0.71169
	7	0.55923	0.35528	0.76319	0.55927	0.35530	0.76323
	8	0.58906	0.36326	0.81485	0.58911	0.36333	0.81489
	9	0.62291	0.37466	0.87116	0.62580	0.37766	0.87394
	10	0.64876	0.38289	0.91463	0.64964	0.38373	0.91555