灰指数规律的熵判据.pdfVIP

　2002 年 3 月 系统工程理论与实践 第 3 期　 文章编号:(2002) 灰指数规律的熵判据 张岐山 (福州大学管理学院, 福建 福州 350002) 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, 并给出了灰指数函数的灰度公式 关键词: 　离散函数; 白指数律; 灰指数律; 熵; 灰度 中图分类号: 　 94　　　　　　　　文献标识码: 　 　　　 N A En tropy C riterion of Grey Exponen tial L aw ZHAN G Q i shan (Schoo l of M anagem ent, Fuzhou U niversity, Fuzhou 350002, Ch ina) Abstract: 　 In the paper, the criterion of the w h ite exponential law of a discrete function is given after discussing the necessary and sufficient conditions of a continuous function being an exponential function. O n the basis of it, the criteria of the grey , . . , exponential law of a discrete function are obtained i e fo r a fixed increm ent of the components of a discrete function, if the entropy of the function app roaches to its ′ 1, m axim um entropy o r the class ratio is clo se to a constant that isn t equal to the discrete function bears a grey exponential law. T he m easure of the grey characteristics , . of a grey exponential function is studied w ith the fo rm ula obtained T he research result is h igh ly significant fo r the theo ry and techno logy of grey modeling. Keywords: 　discrete function; w h