一般模糊熵及其应用

Generalized Fuzzy Entropy and Its Applications

针对广义近似空间,提出了一般模糊熵概念,简便而有效地度量了广义近似空间中粗糙概念的模糊性;讨论了一般模糊熵的性质,给出了一般模糊熵关于目标信息系统属性约简的定理及其证明;结合相对知识粒度,提出一个基于一般模糊熵的属性约简的启发式算法,该算法的时间复杂性为O((|P|+|D|).(|U|4)。通过例子分析,表明该算法是有效的。

In generalized approximate space, a definition of generalized fuzzy entropy is given, its property is discussed, and theorems about reduction in object information system is presented. This paper also proposes the generalized fuzzy entropy with Relative Knowledge Granulation -based heuristic algorithm for reduction of attribute, the time complexity of this algorithm is O（（｜P｜＋｜D｜）·（｜U｜4）. An example shows that this algorithm is effective in object information system.