模糊聚类分析在我国部分城镇居民消费结构研究中的应用(2)

~传递闭包为tR,即

???1.0000??0.9397?0.9377??0.9377?0.9307??0.9377??0.9480?0.9480??0.9397~?0.9377tR???0.9480?0.9397??0.7606??0.9480?0.9175??0.9175?0.9377 ??0.9377?0.9377??0.9377???0.93970.93770.93770.93970.9377...0.9377??1.00000.93770.93770.96090.9377...0.9377?0.93771.00000.95620.93770.9562...0.9565??0.93770.95621.00000.93770.9651...0.9562?0.96090.93770.93771.00000.9377...0.9377??0.93770.95620.96510.93771.0000...0.9562??0.93970.93770.93770.93970.9377...0.9377?0.93970.93770.93770.93970.9377...0.9377??0.95490.93770.93770.95490.9377...0.9377?0.93770.95620.98220.93770.9651...0.9562??0.93970.93770.93770.93970.9377...0.9377?0.95490.93770.93770.95490.9377...0.9377??0.76060.76060.76060.76060.7606...0.7606??0.93970.93770.93770.93970.9377...0.9377?0.91750.91750.91750.91750.9175...0.9175??0.91750.91750.91750.91750.9175...0.9175?0.93770.95620.96060.93770.9606...0.9562?

?0.93770.94690.94690.93770.9469...0.9469?0.93770.95650.95620.93770.9562...0.9630??0.93770.95650.95620.93770.9562...1.0000??

3.4 动态聚类图

λ10.98220.96510.96460.9630.96260.96090.96060.95920.95650.95620.95560.95490.9480.94690.94430.93970.93770.91750.76061781114259123192041061718151613分类数2019181716151413121110987654321

3.5 聚类分析结果

~~~ 适当选取置信水平值???0,1?,求出tR的?截矩阵tR?,然后按照tR?进

??????行分类,具体原则:

~~rij?n?n,tR 设tR??~?????~1,rij????~~??rij????n?n,则rij?????~,

0,r????ij 对于ui,uj?U,若~rij????1,则在?水平之上的将对象ui,uj归为同一类.则

~~选取不同的置信水平值???0,1?,按?截矩阵tR?进行分类，把tR中的元素按照

????从大到小的顺序排列:1?0.9822?0.9651?0.9646?...?0.7606,有: 当??1时,分类情况为:?u1?,?u2?,...,?u20?;

当??0.9822时,分类情况为:?u4,u10?,?u1?,...,?u20?; 当??0.9651时,分类情况为:?u4,u6,u10?,?u1?,?u2?,...,?u20?; ……

当??0.9175时,分类情况为:?u13?,?u1,u2,...,u20?; 当??0.7606时,分类情况为:?u1,u2,...,u20?. 致谢 衷心感谢杨成福老师的悉心指导!

参 考 文 献

[1] 谢季坚,刘承平著.模糊数学方法及其应用[M].武汉.华中科技大学出版社,2006. [2] 郭嗣琮著.信息科学中的软件计算方法[M].沈阳.东北大学出版社,2001. [3] 陈水利,李敬功,王向公著.模糊集理论及其应用[M].北京.科学出版社,2006.

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