ENTROPY MEASUREMENT OF INTERVAL GREY SEQUENCE AND ITS APPLICATION  

区间灰系列的熵度量及其应用(英文)

作　　者：廖锐全[1] 刘德基[1] 鲁艳峰[1] 肖新平[2] 

机构地区：[1]长江大学石油工程学院 [2]武汉理工大学理学院

出　　处：《Transactions of Nanjing University of Aeronautics and Astronautics》2012年第2期131-135,共5页南京航空航天大学学报（英文版）

基　　金：Supported by the National Natural Science Foundation of China(60873021,70971103)~~

摘　　要：The uncertainty measurement method for grey information theory and the metric formula are established, and its application in decision-making is researched. The entropy measurement of grey sequence based on the limited interval grey number sequence is different from the Shannon probability entropy. The measurement formula of grey number and its properties are studied, such as the invariance, the applicable conditions, and the grey entropy of union and intersection of two grey numbers, and so on. Finally, the algorithm for interval grey sequence and an example are given to show the effectiveness of the method.研究了灰信息理论的不确定性度量方法及其在决策中的应用,说明了建立在有限区间灰数序列基础上的灰序列熵与Shannon概率熵是不同的。讨论了灰数的度量公式和性质,包括不变性、应用条件、两个灰数并与交的灰熵等。最后给出一个应用实例验证了该方法的有效性。

关 键 词：grey system entropy measurment interval grey number greyness degree 

分 类 号：O357[理学—流体力学]