一种基于十八元语言值模糊相似矩阵的聚类方法  

A clustering method based on 18-element linguistic-valued fuzzy similar matrix

作　　者：张云霞[1] 崔晓松[1] 邹丽[1] 

机构地区：[1]辽宁师范大学计算机与信息技术学院,辽宁大连116081

出　　处：《山东大学学报（工学版）》2013年第1期34-40,共7页Journal of Shandong University（Engineering Science）

基　　金：国家自然科学基金资助项目(61105059;61175055;61173100);中国博士后科学基金资助项目(2012M510815);辽宁省高等学校杰出青年学者成长计划资助项目(LJQ2011116);四川省智能网络信息处理重点实验室资助项目(SGXZD1002-10)

摘　　要：基于18元语言值格蕴涵代数,提出了语言值模糊集的语言值模糊相似度概念,给出平均语言值模糊相似度计算公式,并证明了其合理性;然后构建了语言值模糊相似矩阵、语言值模糊等价矩阵及语言值模糊矩阵的λ-截矩阵;最后提出了一种基于语言值模糊相似矩阵的聚类新方法,并给出了实例验证。Based on the 18-element linguistic-valued lattice implication algebra, the linguistic-valued fuzzy similarity of linguistic-valued fuzzy set was proposed. In addition, the calculating formular for average linguistic-valued fuzzy simi- larity was given and its reasonability was proved. Furthermore, the linguistic-valued fuzzy similar matrix, linguistic- valued fuzzy equivalent matrix and A-cut matrix of linguistic-valued fuzzy matrix were constructed. Finally, a new fuzzy clustering method based on linguistic-valued fuzzy similar matrix was proposed, and an example was given to il- lustrate its effectivity in fuzzy clustering problem.

关 键 词：语言值模糊矩阵 语言值模糊集 语言值模糊相似矩阵 语言值模糊聚类 

分 类 号：TP391[自动化与计算机技术—计算机应用技术]