Research Article

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

Table 15

Results of the IT2XB validation index to Ionosphere dataset clustering using IT2FPCM and IT2FCM algorithm with = [1.5, 2.5] and = [1.5, 2.5] as parameters.

Index of validation IT2XB
DatasetClustersIT2FPCMIT2FCM
DefuzzLowerUpperDefuzzLowerUpper

Ionosphere20.625050.518720.731370.622360.517990.72674
32.364423.071701.657142.344343.053591.63509
41.251461.184151.318771.243771.183941.30359
54.05E + 045.90E + 042.20E + 041.93E + 062.82E + 061.03E + 06
65.58E + 037.99E + 033.17E + 036.35E + 069.12E + 063.58E + 06
72.46E + 113.52E + 111.39E + 115.22E + 117.51E + 112.92E + 11
81.98E + 152.74E + 151.23E + 153.38E + 164.71E + 162.05E + 16
91.69E + 142.29E + 141.08E + 141.70E + 142.32E + 141.08E + 14
106.22E + 208.71E + 203.73E + 201.31E + 211.85E + 217.62E + 20