模糊聚类概念的推广及应用

模糊聚类是一种语言近似方法。它是采用模糊数学的方法根据对象的各种属性（或因素）按某个预定的指标进行分类的一门多元分析技术。经过对基于模糊等价关系的聚类方法的分析，结合运筹学的决策思维习惯，笔者提出了相异的概念来增强其功能，给出了相应的运算收敛的数学证明，并用华北地区雨量预报的历史数据进行检验，给出了语言近似和决策思想的结合是当前使用计算机系统处理智能问题有效途径之一的思路。

CONCEPT OF FUZZY CLUSTERING POPULARIZING AND ITS APPLICATION

The fuzzy clustering based on fuzzy relative equivalence is analyzed. From the view of decision theory, the concept of difference is put for its popularizing. A proof of the theorem corresponding to the concept of similarity is given, and an example for rainfall prediction on North China is used to test its effect. Finally the idea of Linguistic Approximation combining with Decision Theory is one of effective methodology for intellectual problems is suggested.