论文部分内容阅读
针对粗糙集中存在的模糊性问题 ,提出了一种利用模糊熵测量其模糊性的方法。文中给出了一种新的模糊熵 ,提出了基于等价关系下粗糙集模糊熵的计算公式及等效表示方法 ,证明了这种模糊熵的性质。并将基于等价关系的粗糙集的模糊熵拓展到基于一般二元关系下粗糙集的广义模糊熵 ,给出了广义模糊熵的计算公式及等效表示形式。最后以一个例子说明粗糙集中模糊熵的具体求解方法。从例子可以看出 ,本文提出的模糊熵可以方便、有效地测量出粗糙集中的模糊性。
Aiming at the fuzziness problem existing in rough set, a method to measure fuzziness using fuzzy entropy is proposed. In this paper, a new fuzzy entropy is given, and the calculation formula and equivalent representation method of fuzzy entropy based on equivalence relation are proposed. The properties of fuzzy entropy are proved. The fuzzy entropy of rough set based on equivalence relation was extended to the generalized fuzzy entropy based on general binary relation and the generalized fuzzy entropy formula and its equivalent representation were given. Finally, an example is given to illustrate the specific solution of fuzzy entropy in rough set. As can be seen from the examples, the fuzzy entropy proposed in this paper can easily and effectively measure the fuzziness in rough sets.