GB18030汉字的分形相关性研究

要GB18030是国家标准局新近颁布的最重要的汉字编码标准。本文从分形信息学的角度对GB18030汉字库中的27538个汉字的分形特性进行了研究。基于格分维理论，给出了汉字格测度的选取原则和格分维的计算方法。计算与统计表明：96．6846％的汉字的分形维数在[1．00，1.503]之间，98．9469％汉字的分形相关性系数R^2值在[0．95，1．003之间，这表明汉字具有显著的分形特性。

Study on the Fractal Correlation of GB18030 Words

GB18030 is the latest standard for encoding of Chinese words, which is constituted by the department of national standard of China. From the aspect of fractal informatics, this paper firstly studied the fractal characteristic of the 27538 Chi- nese words of GB18030 font libraries systemically. Based on the grid fractal theory, we give the principles of selecting grid measure for Chinese words and the procedure of calculating grid fractal dimension. The result is that and the grid fractal di- mension of 96.6846%words are in range[1.00, 1.50], and the fractal correlation coefficient R2 of 96.6846%words are in rang[0.95, 1.00]. This shows that the Chinese words have notable fractal characteristic.