模糊集中的无限非概率测度熵

Infinite non-probabilistic measure entropy in the setting of fuzzy sets theory

目的 为得到模糊信息论的一些重要性质和定理。方法 以模糊熵的数学性质为基础,以Shannon熵为工具进行研究。结果 给出了无限非概率测度熵的定义及性质,并对无限非概率测度条件熵及模糊互信息给出了定义,进而研究了其性质并给出了相关定理。结论 其结果深化和发展了模糊信息论的内容。

AimTo get some important properties and theorems for fuzzy information theory.MethodsThe research is based on the property of fuzzy entropy and Shannon entropy.ResultsInfinite Non-probabilistic measure Entropy in the setting of Fuzzy sets Theory is given, some characteristics are described and proved, some theorems and characteristics about infinite non-probabilistic measure conditional entropy and fuzzy mutual entropy are given.ConclusionThe results develop the contents of fuzzy information theory.