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灰色评判矩阵的序结构

The Rank Structure of Grey Judgement Matrix
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摘要 本文研究了灰色评判矩阵的拓扑结构,并且在得到灰色评判矩阵的序结构矩阵的基础上,讨论了灰色评判矩阵白化和求解过程的保序性问题. The rank preservation to the grey judgement matrix and the evaluating, methods on three levels are discussed. The row vectors of grey matrix{i}∈ Rn+ are the base level; according to the priority rank ofder, the elements{ i} classified into the grey rank equivalence classes are the intermediate level while the permutation groups based on the grey class sets are the high level. In order to obtain the solution that can preserve the judge's priority ranking, the first requirement is that the grey judgement matrix should have rank correlation or asymptotic rank correlation, and the second is that the evaluating method of priority weights should be one for preserving the rank.
出处 《华中理工大学学报》 CSCD 北大核心 1990年第1期41-45,共5页 Journal of Huazhong University of Science and Technology
关键词 灰色评判矩阵 序结构 保序计算 Grey judgement matrix Rank equivalence classes Rank structure matrix Rank preservation
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参考文献2

  • 1王莲芬,系统工程理论与实践,1987年,2期,31页
  • 2邓聚龙,灰色系统基本方法,1987年

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