基于特性增加变换的错误矩阵方程构建及求解被引量：4

The Construction and Solution of Error Matrix Equation Based on Increasing Transformation of Characteristics

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摘要基于错误矩阵方程XA′=B,给出了增加变换矩阵的定义,针对特性要素的增加变换,给出了特性增加变换矩阵方程的构建及求解.研究了基于特性增加变换的错误矩阵方程的求解方法、解的存在性、解的形式.以期从基于特性增加变换的错误矩阵方程求解的角度对错误转化规律进行探索研究. Increasing transformation matrix of the error matrix equation XA′=B is defined.Based on increasing transformation of characteristics,the method of solving the problem,the existence and form of the solution for this type of equations have been presented.This research provides a research method to find out the rules of error-eliminating.

作者闵惜琳郭开仲

机构地区广东工业大学管理学院

出处《广东工业大学学报》 CAS 2011年第2期63-65,68,共4页 Journal of Guangdong University of Technology

关键词错误矩阵方程特性增加变换方程构建及求解 error matrix equation increasing transformation of characteristics construction and solution of matrix equation

分类号 O159 [理学—基础数学]

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参考文献7

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二级参考文献5

1Guo K Z, Liu S Y. Introduction for the theory of error-eliminating[J]. Advances in Modelling & Analysis A :Mathematical, General Mathematical Modelling, 2002,39 (4) : 39- 66.
2Liu S Y, Guo K Z. Research on decomposition of fuzzy error set[J]. Advances in Modelling & Analysis A:Mathematical,General Mathematical Modelling,2006,43(2) :15-26.
3Liu S Y, Guo K Z. Extreme value of fuzzy error system with change of time and space -- Zero faults trend of significant decision[J]. Advances in Modeling and Analysis B,2002,45 (3-4) :39-47.
4Liu S Y, Guo K Z. Exploration and application of redundancy system in decision making relation between fuzzy error logic increase transformation word and connotative model implication word[J]. Advances in Modelling & Analysis A: Mathematical, General Mathematical Modelling, 2002,39 (4) : 17 - 27.
5郭开仲,刘世勇.模糊错误逻辑分解转化词与内涵否定词的逻辑关系[J].模糊系统与数学,2002,16(1):57-63. 被引量：6