模糊序列的GM(1,1)建模  

GM(1,1) Modeling on the Fuzzy Sequence

作　　者：陈定元[1] 钟金标[1] 

机构地区：[1]安庆师范学院数学系,安徽安庆246011

出　　处：《工程数学学报》2010年第3期396-402,共7页Chinese Journal of Engineering Mathematics

基　　金：安徽省高校青年教师资助计划(2008jql098)~~

摘　　要：本文在不改变GM(1,1)模型建模机理的前提条件下,运用模糊回归理论对GM(1,1)模型进行优化,通过定义三角模糊数的左、中、右距离,将模糊序列的GM(1,1)模型的求解转化为线性规划模型的求解,并通过实例加以论证。研究表明模糊序列的GM(1,1)模型保留了GM(1,1)模型所需建模数据少和具有预测功能的特点,且能为决策者提供一个决策区间。Without changing the principle of the GM（1,1） modeling, this paper adopts the fuzzy regression model to optimize the GM（1,1） model. By defining the left distance, the middle distance and the right distance of a triangular fuzzy number, the GM（1,1） modeling on the fuzzy sequence is resolved by changing it into a linear programming problem and demonstrated through an example. Research shows that the GM（1,1） modeling on fuzzy sequence not only keeps the character of needing few data and prediction, but also can provide a decision interval to the decision maker.

关 键 词：GM(1 1)模型 模糊回归模型 模糊序列 三角模糊数 距离 

分 类 号：O159[理学—数学]