摘要
对基于直觉模糊集的聚类问题进行了研究.首先给出直觉模糊相似度的概念,并构建了直觉模糊相似矩阵和直觉模糊等价矩阵;然后定义了直觉模糊相似矩阵的合成运算法则,给出直觉模糊相似矩阵转化为直觉模糊等价矩阵的途径;此外,还分别定义了直觉模糊相似矩阵和直觉模糊等价矩阵的λ-截矩阵,进而给出了直觉模糊集的一种聚类方法;最后通过算例对该方法进行了说明和分析.
To investigate the problems of clustering intuitionistic fuzzy sets, the concept of intuitionistic fuzzy similarity degree is defined, and intuitionistic fuzzy similarity matrix and intuitionistic fuzzy equivalence matrix are constructed. A compound operational law of intuitionistic fuzzy similarity matrix is defined and an approach to transforming the intuitionistic fuzzy similarity matrices into the intuitionistic fuzzy equivalence matrices is given. Moreover,λ-cutting matrices of the intuitionistic fuzzy similarity matrix and intuitionistic fuzzy equivalence matrix are given,and then an approach to clustering intuitionistic fuzzy sets is proposed. Finally,a numerical example is given to illustrate and analyze the proposed approach.
出处
《控制与决策》
EI
CSCD
北大核心
2007年第8期882-888,共7页
Control and Decision
基金
国家自然科学基金项目(70571087)
国家杰出青年科学基金项目(70625005)
关键词
直觉模糊集
直觉模糊相似矩阵
聚类
直觉模糊等价矩阵
直觉模糊相似度
Intuitionistic fuzzy set
Intuitionistic fuzzy similarity matrix
Clustering
Intuitionistic fuzzy equivalence matrix
Intuitionistic fuzzy similarity degree
