| 一种基于十八元语言值模糊相似矩阵的聚类方法 |
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| 引用本文： | 张云霞,崔晓松,邹丽.一种基于十八元语言值模糊相似矩阵的聚类方法[J].山东大学学报(工学版),2013,43(1):34-40. |
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| 作者姓名： | 张云霞 崔晓松 邹丽 |
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| 作者单位： | 辽宁师范大学计算机与信息技术学院, 辽宁 大连 116081 |
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| 基金项目： | 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) |
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| 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。
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| 关 键 词： | 语言值模糊矩阵 语言值模糊集 语言值模糊聚类 语言值模糊相似矩阵 |
| 收稿时间： | 2012-12-05 |
A clustering method based on 18-element linguistic-valued fuzzy similar matrix |
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| ZHANG Yun-xia,CUI Xiao-song,ZOU Li.A clustering method based on 18-element linguistic-valued fuzzy similar matrix[J].Journal of Shandong University of Technology,2013,43(1):34-40. |
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| Authors: | ZHANG Yun-xia CUI Xiao-song ZOU Li |
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| Affiliation: | School of Computer and Information Technology, Liaoning Normal University, Dalian 116081, China |
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| Abstract: | 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 similarity was given and its reasonability was proved. Furthermore, the linguistic-valued fuzzy similar matrix, linguistic-valued fuzzy equivalent matrix and λ-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 illustrate its effectivity in fuzzy clustering problem. |
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| Keywords: | linguistic-valued fuzzy clustering analysis linguistic-valued fuzzy matrix linguistic-valued fuzzy sets linguistic-valued fuzzy similar matrix |
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