基于粗糙集近似的信息熵

Information Entropy Based on the Rough Set Approximation

粗糙集理论中提出的不确定性测量方法只依赖于一个论域的划分和基数,独立于粗糙集上下近似,而粗糙集理论的基本思想是通过上、下近似来描述不完整或不精确的概念。本文基于粗糙集近似提出了一种新的信息熵函数,并对其单调性问题加以研究。

The uncertainty measure methods that has been put forward in the theory of rough set approximation only relies on the division of a theory field and the cardinality,independent of the rough set approximation upper and lower approximation,while the basic thought of the rough set approximation is to describe the incomplete or inaccurate concepts through upper and lower approximation.This paper puts forward a new information entropy function based on the rough set approximation,and does more research on its monotonicity problems.