因素空间的属性圆定义及其在对象分类中的应用

为使汪培庄先生提出的因素空间理论便于应用,和基于该理论对多域值属性影响对象集合进行聚类分析,提出了以研究对象为中心的图形化域值属性表示方法,即属性圆。属性圆可以表示无穷多个域属性对对象的影响。先基于属性圆概念进行对象的相似性分析,后为计算方便将图形定义转化为数值相似性定义,进而研究了对象集合的聚类分析方法。实施的聚类原则为:严格遵照相似与不相似划分,参考模糊相似划分。列举了一个实际电气系统的系统可靠性表述群作为研究对象集合,对表述群进行聚类分析。结果表明:决策集D与对象集U的对应关系说明对对象集的划分就其决策属性而言是非奇异的、准确的。这说明尽管在不同环境下对系统进行了可靠性评价,但是这些评价语义是相对客观的,评价的语义可以相互佐证。

Definition of attribute circle in factor space and its application in object classification

In order to achieve easier application of the factor space theory easily based on its impact on the object set of multi domain value attributes,we propose a graphical representation for an object with the domain value attributes, namely attribute circle, using cluster analysis.The circle can represent the impact of infinite multi domain attributes on the object.We first analyze the similarities of the objects based on the attribute circle concept.For the convenience of calculation,graphical definition is converted to numerical similarity definition, and the clustering analysis method of object set is studied.The clustering principles are: strictly complying with similar division or dissimilar division,and referencing to the fuzzy similarity division.We take the system reliability of an electrical system as the research object set,and analyze the cluster of the expression group.The corresponding relationship between the decision set D and the object set U show that the division of the object sets is singular and accurate in terms of decision attributes.Although the system reliability is evaluated in different circumstances,these evaluation semantics are relatively objective and they can support each other.