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次序一致性判断矩阵的相关理论及排序
引用本文:高春香,陈义华,田文千.次序一致性判断矩阵的相关理论及排序[J].数学的实践与认识,2010,40(4).
作者姓名:高春香  陈义华  田文千
作者单位:重庆大学,数理学院,重庆,400044
摘    要:给出了完全次序一致性的定义和次序一致性矩阵的标准形式,并证明了满意一致性与次序一致性的等价性,然后给出了同时适用于互反与互补两种判断矩阵的完全次序一致性检验及改进的交互式算法,最后在次序一致性的基础上给出了模糊互补判断矩阵排序的一种新方法,并给出了一个算例.

关 键 词:判断矩阵  影子矩阵  次序一致性  排序

Theory of Ordinal Consistency Matrix and the Method of Derive the Priority Vectors
GAO Chun-xiang,CHEN Yi-hua,TIAN Wen-qian.Theory of Ordinal Consistency Matrix and the Method of Derive the Priority Vectors[J].Mathematics in Practice and Theory,2010,40(4).
Authors:GAO Chun-xiang  CHEN Yi-hua  TIAN Wen-qian
Institution:GAO Chun-xiang,CHEN Yi-hua,TIAN Wen-qian (College of Science,Chongqing University,Chongqing 400044,China)
Abstract:In this paper,first the definition of complete ordinal consistency and the standard form of ordinal consistency was put forward and the conclusion that consistency and ordinal consistency are equivalent is concluded.Then the complete ordinal consistency test and improved interactive method were gived which meet reciprocal and complementary two matrixes.At the last,based on the theory of ordinal consistency present a new method to derive the priority vectors of fuzzy comparison matrix and give an example.
Keywords:comparison matrix  shadow matrix  ordinal consistency  priority  
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