| 多边矩阵代数运算的同构定理和数据挖掘 |
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| 引用本文： | 罗纯,张应山. 多边矩阵代数运算的同构定理和数据挖掘[J]. 上海应用技术学院学报：自然科学版, 2017, 17(4): 358-364 |
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| 作者姓名： | 罗纯 张应山 |
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| 作者单位： | 上海应用技术大学 理学院, 上海 200235,华东师范大学 经济与管理学部, 上海 200241 |
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| 基金项目： | 上海市教育委员会本科重点课程建设项目(2017年度,No.349);上海应用技术大学本科重点课程建设项目(10110M171015)资助 |
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| 摘 要： | 介绍了多边矩阵的基阵代数运算与剖面代数运算概念,并给出了一些多边矩阵的基阵代数运算与剖面代数运算性质,证明了多边矩阵的基阵代数运算与剖面代数运算是同构的。作为应用,研究了多边矩阵剖面代数运算和数据挖掘之间的关系。
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| 关 键 词： | 多边矩阵 基阵 剖面代数运算 数据挖掘 |
| 收稿时间： | 2017-09-04 |
Isomorphism Theorems and Data Mining of Algebra Operations of Multilateral Matrices |
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| LUO Chun and ZHANG Yingshan. Isomorphism Theorems and Data Mining of Algebra Operations of Multilateral Matrices[J]. Journal of Shanghai Institute of Technology: Natural Science, 2017, 17(4): 358-364 |
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| Authors: | LUO Chun and ZHANG Yingshan |
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| Affiliation: | School of Sciences, Shanghai Institute of Technology, Shanghai 200235, China and Faculty of Economits and Management, East China Normal University, Shanghai 200241, China |
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| Abstract: | The concepts of algebra operations between basic multilateral matrices and subdivision surface of multilateral matrix were introduced, and many of the basic properties of subdivision of these algebra operations were presented, and some isomorphism theorems of these algebra operations were proved. The relationship among the algebra operation of subdivision surface of the multilateral matrix, matrix left half-tensor product and the data mining was cnvestigated with an aim of application. |
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