正态云概念的漂移性度量及分析

Excursive Measurement and Analysis of Normal Cloud Concept

云模型把自然语言中定性概念的随机性和模糊性有机地综合在一起,通过正向云变换和逆向云变换实现了概念内涵与外延之间的相互转换。基于正态分布和高斯隶属函数的正态云具有普适性。文中通过正态云概念的外包络曲线,根据KL散度刻画分布函数之间差异的特性,定义了一种正态云概念的漂移性度量。最后,结合人类认知的特点,利用该方法以计算的方式对概念在认知过程中可能发生的漂移性进行了模拟研究和实验分析。

Cloud model integrates fuzziness and randomness of the qualitative concepts in the natural language,and rea- lizes the mutual transformation between concept＇s intension and extension by forward cloud transformation and back- ward cloud transformation. The normal cloud based on normal distribution and Gaussian membership function has uni- versality. In this paper, an excursive measurement based on outer envelope curve of normal cloud concept was defined by KL divergence, which is a non-symmetric measure of the difference between two probability distributions. Finally,based on the characteristics of human cognition, some simulation experiments were designed to study and analyze the excur- sion during the process of concepts＇ cognition in a calculation way.