信息效用函数与Wundt曲线

INFORMATION UTILITY FUNCTION AND WUNDT CURVE

首先,本文在建立主观信息结构的公理化体系基础上定义了信息空间及信息效用函数,证明了信息效用函数的存在性及唯一性.对于一些特殊的信息空间,证明了信息效用函数是一些常见信息量的比.由此,用数理逻辑方法同样得到了被誉为心理学第一定律的Wundt曲线.

In this paper, we set up the axiom system of subjective information structure and introduce the definitions of Information Space and Information Utility Function (I. U. F. ). The existence of the I. U. F. is proved and such I. U. F. is determined only up to a constant factor. Then we piont out that, for some special Information Spaces,the I. U. F. is the ratio of some common Information Measures. From this, Wundt Curve honoured the first law of psychology is obtained similarly but by mathematical logical method.