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

Table 37

Results of the IT2MPE-DMFP validation index to data clustering of image shown in Figure 2(d) 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(d)	2	0.15969	0.17663	0.14274	0.15970	0.17663	0.14276
	3	0.52574	0.50323	0.54825	0.52576	0.50324	0.54828
	4	0.67185	0.63511	0.70860	0.67188	0.63511	0.70865
	5	0.92726	0.82782	1.02669	0.92729	0.82782	1.02675
	6	0.98403	0.84965	1.11841	0.98406	0.84964	1.11849
	7	1.30797	1.11585	1.50009	1.30804	1.11588	1.50020
	8	1.39216	1.12362	1.66071	1.39200	1.12350	1.66050
	9	1.75595	1.40758	2.10433	1.76502	1.41523	2.11480
	10	1.98371	1.56297	2.40445	1.98233	1.56168	2.40299