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

Table 27

Results of the IT2XB validation index for data 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 validation IT2XB
Image	Clusters	IT2FPCM			IT2FCM
		Defuzz	Lower	Upper	Defuzz	Lower	Upper
Figure 2(a)	2	0.11253	0.07812	0.14694	0.11253	0.07812	0.14694
	3	0.11105	0.06516	0.15695	0.11105	0.06516	0.15694
	4	0.11980	0.06082	0.17877	0.11979	0.06082	0.17877
	5	0.11078	0.05214	0.16943	0.11078	0.05214	0.16943
	6	0.11347	0.04983	0.17711	0.11347	0.04983	0.17711
	7	0.11478	0.04732	0.18224	0.11478	0.04732	0.18223
	8	0.12419	0.04862	0.19975	0.12418	0.04862	0.19974
	9	0.12270	0.04573	0.19967	0.12257	0.04567	0.19946
	10	0.12837	0.04641	0.21032	0.12848	0.04643	0.21053