A quantitative analysis of knowledge representation is attempted. Base
d on the fractal theory and information measuring principles and metho
ds, a series of quantitative concepts for knowledge representation, e.
g. information capacity, entropy, information processing channel (IPC)
, are proposed. From the viewpoint of information processing, the prin
ciples of maximum entropy and increasing entropy are discussed, and th
e types, characteristics and structures of information processing chan
nel are also discussed. Finally, the quantitative theoretical analyses
of several typical knowledge representation methods are given.