季度经济分析的模糊数学方法

Fuzzy Mathmatics Method of Quarterly Economic Analysis

采用模糊综合评判法,对黑龙江年度季度经济数据进行了分析.选取其中的6项经济指标进行了层次分析、给出判断矩阵,以特征向量法求得各指标的权值,并将其归一化.再对原始数据进行标准化,消除了量纲的影响,并以人们常常认为的优、良、中、及格、差服从正态分布求得五级评价体系的临界值点,选取合适的隶属函数求得各数据对于各等级的隶属度.应用模糊综合评判中的数学模型得出各季度经济数据对于各个评价等级的隶属度,给出了各季度经济数据的隶属等级及评判结果.

In this paper, by fuzzy mulifactorial evalutions method, the annual Heilongjiang quarter economic data were analyzed. First of all, one of the six economic indexes is step analysed to determine matrix, eigenvector method in order to obtain the right of each index value, and its normalized. Second, to standardize the raw data, eliminating the impact of dimension and to the people is often thought excellent, good, medium, passing and poor obtaining a normal distribution critical value of 5-point evaluation system, selecting the appropriate membership function obtain the data for each grade of membership. Finally, the application of fuzzy mulifactorial evalutions of the mathematical model derived quarterly assessment of economic data for the various levels of membership are given under each quarter economic data, grades and evaluation results.