基于决策粗糙集的多属性灰色关联聚类方法

针对多属性灰色关联聚类的阈值确定问题,利用决策粗糙集方法,通过引入两个阈值参数定义决策对象间的可能关系和集合;将其代替基于灰色关联聚类的非此即彼关系,构建基于决策粗糙集的多属性灰色关联聚类方法,并采用贝叶斯推理探讨多属性灰色关联聚类的阈值计算机理;最后以案例验证所提方法的有效性和合理性.结果表明,所提出的方法是经典灰色关联聚类的拓展和泛化,能够客观、科学地确定多属性灰色关联聚类阈值.

Decision-theoretic rough set based multi-attribute grey incidence clustering method

With respect to the determination problems of threshold value on multi-attribute grey incidence clustering, based on the method of decision-theoretic rough set, by introducing two threshold parameters, the concepts of possible relationships and the classes set among objects are defined, which are exploited to substitute the one or the other relationship of grey incidence clustering method, and then a multi-attribute grey incidence clustering model based on decision-theoretic rough set is constrated. Further, Bayesian reasoning is utilized to study the computing mechanism of threshold value based on multi-attribute grey incidence clustering. Finally, an example is used to illustrate its feasibility and effectiveness. The results show that the proposed model is the expansion and generalization of the classic grey incidence clustering method, and can objectively and scientifically determine the threshold value of multi-attribute grey incidence clustering method.