Rough Fuzzy Measures in Image Segmentation and Analysis - Rough Fuzzy Image Analysis: Foundations and Methodologies - page 219

TABLE 11.3 Parameters for RECA measures during
evolutionary algorithm phase - distance threshold dist , fuzzy
threshold f uzz and fuzzifier - µ
Name CCDRECA FCDRECA FFTRECA FFDRECA
dist 50 50 - -

f uzzy -

- 0.15 0.015

µ - 2.5 2.5 2.5

α 1.0 1.0 1.0 1.0

TABLE 11.4 Standard indices correlations in RECA populations
for satellite buildup area image
Name CCDRECA FCDRECA FFTRECA FFDRECA
RG
Dunn Turi-0.45 Turi-0.65 Turi-0.45 Turi-0.47
DB cVar-0.58 BETA-0.45 cVar-0.58 cVar-0.52
β -index wVar-0.81 wVar-0.86 wVar-0.82 wVar-0.82

RB
Dunn Turi-0.54 Turi-0.67 Turi-0.50 Turi-0.55
DB Dunn-0.43 BETA-0.50 KMEANS0.59 wVar0.57
β-index wVar-0.93 wVar-0.90 wVar-0.85 wVar-0.84
BG
Dunn Turi-0.48 Turi-0.51 Turi-0.51 Turi-0.46
DB Turi0.48 wVar0.52 wVar0.57 wVar0.55
β-index cVar0.84 wVar-0.86 wVar-0.78 wVar-0.79
RGB
Dunn Turi-0.49 Turi-0.50 Turi-0.49 DB-0.67
DB wVar0.35 wVar0.40 wVar0.47 Dunn-0.67
β-index kM-0.90 wVar-0.90 wVar-0.85 wVar-0.87

TABLE 11.5 Rough indices correlations in RECA populations -
satellite buildup image
Name CCDRECA FCDRECA FFTRECA FFDRECA
RG
Dunn D30.04 R30.23 D30.04 D20.05
DB R4-0.51 R3-0.43 R4-0.51 R4-0.45
β-index F40.90 F40.70 F40.90 F40.85
RB
Dunn R40.24 R50.36 R30.33 R30.06
DB R4-0.39 R4-0.37 R4-0.49 R5-0.48
β -index F40.83 R50.70 R50.88 F40.82

BG
Dunn R50.23 R50.36 R50.42 R50.17
DB R5-0.29 R5-0.36 R4-0.43 R5-0.45
β -index F40.87 R30.86 R40.90 R30.89

RGB
Dunn R50.23 R30.23 D20.04 D20.03
DB R4-0.33 R3-0.25 R4-0.42 D2-0.10
β-index F40.86 R40.73 R50.85 R10.88

In the class of rough entropy validity indices, Dunn index has been maximally correlated
with CCD and FFD RECA measures, but correlations with FFD are comparatively low. In
case of Davies-Bouldin index predominantly high (negative) correlation has been observed
for CCD RECA measures. The best correlation for β-index has been achieved with CCD
RECA and FCD RECA measures.
The comparison shows that the β-index is the best correlated with the rough indices,
the DB index is also much correlated, the Dunn index correlation with rough indices is the
lowest.
Generic BD images - medium dimensions
Generic nature image 78004 have been considered in the medium dimensional setting: