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不满足序传递的正互反判断矩阵的排序研究

On Ranking of Positive Reciprocal Judgment Matrix Not Satisfied with Priority Transfer

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【作者】 李彩凤;

【Author】 LI Cai-feng;School of Mathematics and Statistics, Hechi University;

【机构】 河池学院,数学与统计学院;

【摘要】 对不满足序传递的正互反判断矩阵,分析其一致性检验的不必要性及调整的不合理性,说明了不满足序传递的正互反判断矩阵不适合用特征向量作为其排序向量.针对不满足序传递的正互反判断矩阵,利用得失分率排序法,充分挖掘矩阵中两两比较中元素相对于准则的得分及失分信息,同时去掉元素自身比较的信息,求出合理的排序权值,而不仅仅考虑排序.最后,通过举例,将此方法与特征向量作为排序向量法进行对比分析,结果说明,此方法不仅简单易行,且得出排序结果与判断矩阵的信息一致,优于用特征向量作为排序向量的方法.

【Abstract】 For the positive reciprocal judgment matrix which does not satisfy the priority transfer, its necessity of consistency test and the irrationality of adjustment have been analyzed in this paper, and it has been explained that it is not suitable to use the eigenvector as its priority. A method that makes full use of the importance information of elements in matrix has been presented, which can gets the reasonable importance ranking value. Finally, the method in this paper has been compared with eigenvector priority method through one example. The results show that the method in this paper is simple and feasible, and can get the same priorities as the information from the judgment matrix, which is better than using eigenvector priority method.

【基金】 国家自然科学基金项目(11961021)
  • 【文献出处】 西南师范大学学报(自然科学版) ,Journal of Southwest China Normal University(Natural Science Edition) , 编辑部邮箱 ,2020年10期
  • 【分类号】O151.21
  • 【下载频次】32
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