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模糊线性系统的解 被引量:3

Solution of Fuzzy Linear System
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摘要 线性方程组的解历来是数学研究中的一个重大课题.模糊线性系统AX=b的求解已由Friedman等人提出并进行了一些研究,张仲荣等将A限定为一范德蒙矩阵得出了一些有用的结论.在此基础上,研究了模糊线性系统(Fuzzy Linear Systems)FLS:SX=Y有最小二乘解的条件;并附上了求解的方法与一个算例. Solution of linear system is a very important problem in math science. Fuzzy linear systems AX = b and its solution have been raised and studied by Friedman. Besides, Zhang let A be Vandermond matrix, getting some interesting results. In this paper, the condition of least squares method solution of fuzzy linear systems(FLS) SX=Y is studied,and an example is given either.
出处 《兰州交通大学学报》 CAS 2006年第1期145-147,共3页 Journal of Lanzhou Jiaotong University
关键词 模糊 线性系统 最小二乘解 fuzzy linear systems solution of least squares method
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参考文献4

  • 1Friedman M, Ma M. Fuzzy linear system[J]. Fuzzy Sets and Systems, 1998,96 : 201-209.
  • 2Hung Ching-hsiang. The Moore-Penrose inverse of a partitioned matrix M =(^A D B C)[J]. Linear Alge braand its Application, 1975,11 : 73-86.
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  • 4张仲荣,司书红,姜侠,吴彦良,韩斌,景何仿.范德蒙模糊线性系统的解[J].兰州交通大学学报,2005,24(3):140-143. 被引量:3

二级参考文献3

  • 1Menahem Friedman, Ma Ming, Abraham Kandel. Fuzzy linear system[J]. Fuzzy sets and system, 1998,96,201-209.
  • 2徐树方.矩阵计算的理论与方法[M](第2版)[M].北京:北京大学出版社,1999..
  • 3Tofigh Allahviranloo. Numerical methods for fuzzy system of linear equation[J]. Applied Mathematics and Computation;ARTICLE in Press.

共引文献26

同被引文献14

  • 1张仲荣,司书红,姜侠,吴彦良,韩斌,景何仿.范德蒙模糊线性系统的解[J].兰州交通大学学报,2005,24(3):140-143. 被引量:3
  • 2刘力.模糊层次分析法在工程项目风险管理中的应用[J].科技资讯,2006,4(17):12-13. 被引量:11
  • 3Wang Ke,Chen Guoliang,Wei Yimin.Perturbation analysis for a class of fuzzy linear systems[J].Journal of Computational and Applied Mathematics,2009,224;54-65.
  • 4Menahem Friendman.Fuzzy linear system[J].Fuzzy sets and systems,1988,96:201-209.
  • 5Castro-Gonzdlez N.,Dopazo E.Representations of the Drazin inverse for a class of block matrices[J].Linear Algebra Appl,2005,400,253-269.
  • 6Castro-Gonzdlez N.,Dopazo E.Representations of the Drazin inverse for a class of block matrices[J].Linear Algebra Appl,2005,400:253-269.
  • 7Hartwig R,Li X.,Wei Y.Reprsentations for the Drazin inverse of 2×2 block matrix[J].SIAM J.Matrix Anal.App1,2006,27:757-771.
  • 8Wei Yimin.Expressions for the Drazin inverse of a 2×2 block matrix[J].Linear and Multilinear Algebra,1998,45:131-146.
  • 9王国荣.矩阵与算子广义逆[M].北京:科学出版社,2000.
  • 10许天戟,于兰,王用琪.风险控制理论在国际建筑承包中的应用[J].基建优化,2001,22(1):18-22. 被引量:12

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