模糊聚类和灰色聚类的集成分析方法  

A Method of Synthesis Based on Fuzzy Clustering and Gray Clustering

作　　者：张明媛[1] 高颖[1] 袁永博[1] 

机构地区：[1]大连理工大学建设工程学部建设管理系,辽宁大连116024

出　　处：《模糊系统与数学》2015年第3期145-153,共9页Fuzzy Systems and Mathematics

基　　金：国家自然科学基金资助项目(51208081);辽宁省教育厅一般项目(L2014034)

摘　　要：在传统的模糊聚类和灰色聚类的基础上,提出了基于模糊聚类和灰色聚类集成的评价方法。结合模糊聚类理论得出最合理的聚类类别和最优聚类中心,依据聚类中心矩阵并借助灰色系统理论确定各灰类的白化权函数,建立模糊聚类和灰色聚类相结合的新的评价模型,最后利用该模型判断供水管网在地震作用下供水节点的模糊失效状态,说明了该方法的合理性和有效性。该模型克服了模糊聚类和灰色聚类的缺陷,提高了方法应用的准确性。An evaluation method integrated fuzzy clustering and gray clustering was proposed on the basis of the two traditional theories. Calculate the most optimal cluster categories and cluster center combined fuzzy clustering theory. The whiten weight function of each gray was determined according to the cluster center matrix with the gray system theory to create a new evaluation model based on fuzzy clustering and gray clustering. Finally, an example that judge node fuzzy failure state of the water supply network under the earthquake was given to demonstrate the effectiveness and rationality of the model. This model overcomes the defects of fuzzy clustering and gray clustering and improves the accuracy of the application of the method.

关 键 词：模糊聚类 灰色聚类 供水管网 节点模糊失效 

分 类 号：C934[经济管理—管理学]