基于直觉模糊等价关系的聚类算法

Clustering Algorithm Based on Intuitionistic Fuzzy Equivalent Relations

首先引入直觉模糊集的模运算、直觉模糊集之间的关系及合成运算的定义,然后提出了直觉模糊集的截集定义,揭示了利用直觉模糊等价关系的分类原理,并讨论了基于直觉模糊等价关系的模糊聚类算法,从而使直觉模糊集的基本理论得到进一步扩展。最后给出了该算法的一个数值实例。

Firstly, the definitions of modular operations, the relationship between intuitionistic fuzzy sets （IFgs） and their composition operations are introduced, then the definition of truncated set for IFSs is presented, and the principle for classification using intuitionistie fuzzy equivalent relations is reveled. The clustering algorithm based on intuitionistie fuzzy equivalent relations is discussed, so the basic theorems of IFSs are further generalized. Finally, a numerical example is given.