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

Table 41

Results of the IT2MPE-DMFP validation index to data 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 of validation IT2MPEDFP
Image	Clusters	IT2FPCM			IT2FCM
		Defuzz	Lower	Upper	Defuzz	Lower	Upper
Figure 2(e)	2	0.39275	0.41011	0.37538	0.39276	0.41011	0.37541
	3	0.82005	0.79494	0.84516	0.82007	0.79494	0.84519
	4	0.93366	0.85748	1.00984	0.93368	0.85749	1.00988
	5	1.46587	1.30791	1.62383	1.46590	1.30792	1.62388
	6	1.48807	1.24435	1.73180	1.48811	1.24438	1.73184
	7	1.61212	1.33261	1.89163	1.61217	1.33262	1.89171
	8	2.20927	1.81935	2.59920	2.20931	1.81917	2.59946
	9	2.18831	1.74485	2.63178	2.18867	1.74513	2.63220
	10	2.28302	1.78155	2.78449	2.28147	1.78004	2.78291