Vague集信息熵测量及其应用

Information entropy Measures for Vague Sets and Its Application

引入了区别于现有文献的Vague集信息熵和Vague集的关联熵的概念,给出了一种改进的测量方法,并讨论了它们之间的关系。进而,我们揭示了Vague集的熵和Fuzzy集的熵之间的关系,并分析了本文所定义熵的意义。最后,讨论了这种关联熵在模糊识别和医疗诊断上的应用。

In this paper, we introduced the axiom definitions of information entropy measures for vague sets and the crossaentropy of vague sets which were different from the ones in the existing literature. We also provided a kind of method to measure them and studied the relationship between them. And then we revealed the connection between the notions of entropy for vague sets and fuzzy sets. Finally, we discussed the application of the new information entropy measures for vague sets to pattern recognition and medical diagnosis.