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布尔矩阵的振荡条件与振荡指数

The Oscillate Condition and Oscillate Index of Boolean Matrices
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摘要 首先将常用类型的模糊矩阵都纳入到了二阶占优模糊矩阵的统一框架之内,然后利用模糊矩阵的有向伴随图,指出了强连通布尔矩阵振荡的一个充要条件,依次证明了强连通的二阶占优布尔矩阵的振荡指数为2n-2,非强连通的二阶占优布尔矩阵的振荡指数为3n-4. Almost all the fuzzy matrices of commonly used types are put into the uniform frame of 2-dominating fuzzy matrices, and then this paper gives a detailed study on the oscillate condition and oscillate index of Boolean matrices by means of directed graph of fuzzy matrix.
出处 《数学的实践与认识》 CSCD 北大核心 2007年第14期227-230,共4页 Mathematics in Practice and Theory
关键词 布尔矩阵 振荡条件 振荡指数 Boolean matrices oscillate condition oscillate index
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参考文献4

  • 1Thomason M G. Convergence of powers of fuzzy matrix[J]. Math Appl, 1977, (57):476-480.
  • 2Li Jianxin. Controllable fuzzy matrices[J]. Fuzzy Sets and Systems,1992, (45):313-319.
  • 3Zhoutian Fan, Defu Liu. On the powers sequence of a fuzzy matrix-a detailed study on the power sequence of matrices of commonly used types[J]. Fuzzy Sets and Systems,1998, (99):197-203.
  • 4Li Qiao. Eight Lectures on Matrices[M]. Shanghai Science and Technology Press,1988. 89-90.

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