一类拟模糊熵的渐近界

The asymptotic bound for quasi fuzzy entropy

目的为得到一类拟模糊熵的渐近界的一些性质和定理。方法以模糊熵的基本定义和性质为基础,以Jensen inequality(詹森不等式)为工具进行研究。结果得到b-拟模糊熵、b-拟条件模糊熵、b-拟互信息的渐近界的定义和一些良好的性质及定理。结论深化和发展了模糊信息论的内容。

Aim In order to get some properties and theorems of the asymptotic bound for quasi fuzzy entropy.Methods Based on the definition of fuzzy entropy and the Jensen Inequality.Results Some asymptotic bound for b-quasi fuzzy entropy,b-quasi conditional fuzzy entropy,b-quasi mutual information and some meaning results are obtained.Conclusion The results of information theory has been improved.