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

Table 38

Results of the IT2PE validation index to the 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 IT2PE
Image	Clusters	IT2FPCM			IT2FCM
		Defuzz	Lower	Upper	Defuzz	Lower	Upper
Figure 2(d)	2	0.25819	0.22646	0.28993	0.25821	0.22646	0.28995
	3	0.36130	0.27685	0.44576	0.36132	0.27686	0.44578
	4	0.45157	0.32364	0.57949	0.45159	0.32365	0.57953
	5	0.49465	0.33272	0.65658	0.49468	0.33274	0.65662
	6	0.54882	0.35591	0.74172	0.54885	0.35593	0.74177
	7	0.58437	0.36581	0.80292	0.58441	0.36584	0.80298
	8	0.61986	0.37772	0.86200	0.61989	0.37775	0.86203
	9	0.64495	0.38357	0.90634	0.64494	0.38355	0.90633
	10	0.66579	0.38710	0.94449	0.66588	0.38714	0.94462