灰指数规律的熵判据

研究了函数为指数函数的充要条件 ,并给出了白指数律的判别准则 .在此基础上 ,给出了灰指数律判别方法 ,对于固定的分量增量 ,离散函数的实际熵趋于最大熵时 ,此离散函数具有灰指数律 .与此同时 ,讨论了灰指数函数的灰性测度问题 ,并给出了灰指数函数的灰度公式.

Entropy Criterion of Grey Exponential Law

In the paper, the criterion of the white exponential law of a discrete function is given after discussing the necessary and sufficient conditions of a continuous function being an exponential function. On the basis of it, the criteria of the grey exponential law of a discrete function are obtained, i.e., for a fixed increment of the components of a discrete function, if the entropy of the function approaches to its maximum entropy or the class ratio is close to a constant that isn′t equal to 1, the discrete...