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

Table 33

Results of the IT2MPE-DMFP validation index to data 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 IT2MPEDFP
Image	Clusters	IT2FPCM			IT2FCM
		Defuzz	Lower	Upper	Defuzz	Lower	Upper
Figure 2(c)	2	0.65158	0.66791	0.63526	0.65159	0.66791	0.63528
	3	1.19860	1.14601	1.25119	1.19862	1.14601	1.25123
	4	1.37171	1.21107	1.53235	1.37174	1.21109	1.53239
	5	2.11610	1.87005	2.36214	2.11613	1.87006	2.36219
	6	2.55874	2.21054	2.90695	2.55876	2.21054	2.90699
	7	2.87029	2.40246	3.33812	2.87033	2.40247	3.33820
	8	3.26360	2.68131	3.84588	3.26782	2.68456	3.85108
	9	3.67714	2.97374	4.38054	3.62469	2.92623	4.32314
	10	4.14291	3.29282	4.99301	4.13626	3.28607	4.98644