. Author manuscript; available in PMC: 2011 Jan 19.

Published in final edited form as: IEEE Trans Med Imaging. 2008 Feb;27(2):215–227. doi: 10.1109/TMI.2007.905822

Table I.

The conditions for the utilities that will degenerate the three decision lines into a single line. For a problem such as classification of a case as malignant, benign and normal, the utilities may be chosen as υ₀=υ₂=υ₃=1 and υ₁=0.

True class membership	M	B	N
Assigned class membership	M	B	N
M	υ₀	U_MB	U_MN
B	υ₁	υ₂	υ₃
N	υ₁	υ₂	υ₃