摘要
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 。
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 function bears a grey exponential law. The measure of the grey characteristics of a grey exponential function is studied, with the formula obtained. The research result is highly significant for the theory and technology of grey modeling.
出处
《系统工程理论与实践》
EI
CSCD
北大核心
2002年第3期93-97,共5页
Systems Engineering-Theory & Practice
基金
福州大学科技发展基金 ( XKJS( QD) 0 0 0 2 )
关键词
灰指数规律
熵判据
离散函数
白指数律
灰色建模理论
discrete function
white exponential law
grey exponential law
entropy
grey degree
