| 基于空间分解变换的模糊错误矩阵方程求解 |
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| 引用本文： | 闵惜琳,郭开仲.基于空间分解变换的模糊错误矩阵方程求解[J].模糊系统与数学,2010,24(1). |
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| 作者姓名： | 闵惜琳 郭开仲 |
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| 作者单位： | 广东工业大学,管理学院,广东广州,510520 |
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| 摘 要： | 模糊错误逻辑对现实世界的对象用(u,x)表示为((U,S(t),■T(t),L(t)),(x(t)=f((u(t),■),GU(t)),GU(t)),用模糊错误变换矩阵可以表示分解、相似、增加、置换、毁灭、单位变换等6种变换方法,本论文基于求解方程XA′=B,针对■的分解,研究了基于空间分解变换的错误矩阵方程求解。以期从矩阵方程求解的角度对错误转化规律进行探索研究。
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| 关 键 词： | 错误矩阵方程求解 空间分解 错误矩阵 |
The Solution of Fuzzy Error Matrix Equation Based on Space Decomposition |
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| MIN Xi-lin,GUO Kai-zhong.The Solution of Fuzzy Error Matrix Equation Based on Space Decomposition[J].Fuzzy Systems and Mathematics,2010,24(1). |
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| Authors: | MIN Xi-lin GUO Kai-zhong |
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| Institution: | School of Management/a>;Guangdong University of Technology/a>;Guangzhou 510520/a>;China |
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| Abstract: | An object in real world can be expressed as (u,x)=((U,S(t), ((p)),T(t),L(t)),(x(t)=f((u(t),((p)),G_U(t)),G_U(t)) by fuzzy error logic. At the same time, fuzzy error logic transformation matrix can be used to express decomposed transformation, similarity transformation, increased transformation, replacement transformation, vanishing transformation and unit transformation. We can obtain several useful alternative change paths by permutations and combinations. This paper present a general solution of the equation of XA'=B based on the decomposed transformation of space. The research results provide a new useful potential technique for the analysis of social problems. It allows us to find the method that bad status "u" change to good status "u_1" by means of the solution of fuzzy error matrix. |
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| Keywords: | Solution of Fuzzy Error Matrix Equation Decomposed Transformation of Space Fuzzy Error Matrix |
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