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一种基于十八元语言值模糊相似矩阵的聚类方法
  • 期刊名称：山东大学学报(哲学社会科学版)
  • 时间：2013
  • 页码：34-40
  • 分类：TP391[自动化与计算机技术—计算机应用技术;自动化与计算机技术—计算机科学与技术]
  • 作者机构：[1]辽宁师范大学计算机与信息技术学院,辽宁大连116081
  • 相关基金：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）
  • 相关项目：基于格值逻辑的α-n(t)元归结动态自动推理研究
作者： 张云霞|崔晓松|邹丽|
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, linguistic-valued fuzzy matrix, linguistic-valued fuzzy sets, linguistic-valued fuzzy similar matrix, linguis- tic-valued fuzzy clustering analysis
中文摘要：

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。

英文摘要：

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.

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