摘要
利用模糊矩阵的有向伴随图,探讨了模糊相似矩阵与模糊等价矩阵的收敛性,证明了模糊相似矩阵与模糊等价矩阵的收敛指数.然后通过计算模糊相似矩阵的传递闭包,给出了改造模糊相似矩阵使之成为模糊等价矩阵的一条简单途径.最后通过一个关于模糊聚类分析的算例,展现了基于模糊相似矩阵的传递闭包法在农业蝗灾防控中的应用.
The paper discusses convergence of similar matrix and equivalent matrix using directed graph of fuzzy matrix. It also provides a way of transforming similar matrix into equivalent matrix by calculating transitive package of similar matrix. Finally, it illustrates how transitive package of similar matrix is through an example of cluster analysis. applied to the prevention of locusts in agriculture
出处
《数学的实践与认识》
CSCD
北大核心
2010年第18期231-234,共4页
Mathematics in Practice and Theory
关键词
相似矩阵
等价矩阵
收敛性
传递闭包
similar matrix
equivalent matrix
convergence
transitive package
