Fractal measure theory for knowledge representation

摘要

A quantitative analysis of knowledge representation is attempted. Based on the fractal theory and information measuring principles and methods, 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 principles of maximum entropy and increasing entropy are discussed, and the types, characteristics and structures of information processing channel are also discussed. Finally, the quantitative theoretical analyses of several typical knowledge representation methods are given.