期刊文献+

积合成模型是唯一保序合成模型的条件 被引量:1

The Conditions for Multiplicative Composition Model to be the Only Rank Preservation Composition Model
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摘要 在层次分析(AHP)中,积合成模型是保序的,如果想得到只有积合成模型保序的结论,还必须限定属性个数大于2. In AHP, the multiplicative composition model is rank preservation. To ensure that multiplicative composition model is the only rank preservation model obtained, an additional conditions is that the number of attribute must be great than 2.
作者 刘奇志
出处 《数学的实践与认识》 CSCD 北大核心 2011年第12期54-60,共7页 Mathematics in Practice and Theory
基金 国家自然科学基金(70871120)
关键词 决策方法 层次分析(AHP) 网络分析(ANP) 保序 逆序 积合成 decision making AHP(analytic hierarchy process) ANP(analytic network pro-cess) rank preservation rank reversal multiplicative composition
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参考文献9

  • 1刘奇志.层次分析积因子方法的保序性[J].系统工程学报,1995,10(1):61-70. 被引量:12
  • 2Liu Qizhi and Wang Qin. Product method of analytic hierarchy process[J]. Asia-Pacific Journal of Operational Research, 1991(8): 135-145.
  • 3Liu Qizhi and Wang Qin. Product method of AHP[C]// Proceedings of International Symposium on The Analytic Hierarchy Process, Tianjin, China, 1988, 225-231.
  • 4Liu Qizhi. Product AHP and It's propertites[C]//Proceedings of the 6th International Symposium on The Analytic Hierarchy Process, Berne,Switzerland, 2001, 341-348.
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  • 6刘奇志.网络决策分析的积因子方法[J].系统工程理论与实践,2004,24(9):90-97. 被引量:8
  • 7Satty T L. The Analytic Network Process[M]. Second Edition, RWS Publications, 2001,4922 Ellsworth Avenue, Pittsburgh, PA 15213 USA.
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二级参考文献17

  • 1刘奇志.层次分析积因子方法的保序性[J].系统工程学报,1995,10(1):61-70. 被引量:12
  • 2刘奇志,Asia-Pacific J Operational Research,1991年,8卷,135页
  • 3刘奇志,Proceedings of International Symposium on the Analytic Hierarchy Process,1988年
  • 4许树柏,层次分析法原理,1988年
  • 5赵焕臣,层次分析法.一种简易的新决策方法,1986年
  • 6Liu Qizhi, Wang Qin. Product method of analytic hierarchy process [J]. Asia-Pacific Journal of Operational Research, 1991,(8): 135-145.
  • 7Liu Qizhi, Wang Qin. Product method of AHP[A]. Proceedings of International Symposium on the Analytic Hierarchy Process[C], Tianjin, China, 1988, 225 -231.
  • 8Liu Qizhi. Product AHP and Its Properties[A]. Proceedings of the 6th International Symposium on Analytic Hierarchy Process (ISAHP)[C]. Bern-Switzerland, 2001.341-348.
  • 9Saaty T L. The Seven pillars of analytic hierarchy process[A]. Proceedings of the Fifth International Symposium on Analytic Hierarchy Process[C]. Kobe, Japan, 1999, 20-23.
  • 10Saaty T L. A note on multiplicative operations in AHP[A]. Proceedings of International Symposium on the Analytic Hierarchy Process[C]. Tianjin, China, 1988,82-86.

共引文献561

同被引文献11

  • 1刘奇志.网络决策分析的积因子方法[J].系统工程理论与实践,2004,24(9):90-97. 被引量:8
  • 2王莲芬,朱枫涛.AHP中逆序问题的综述[J].系统工程理论与实践,1994,14(6):1-6. 被引量:12
  • 3刘奇志.层次分析积因子方法的保序性[J].系统工程学报,1995,10(1):61-70. 被引量:12
  • 4徐光〓.运筹学基础手册[M]科学出版社,1999.
  • 5Saaty T L.The seven pillars of analytic hierarchy process. Proceedings of the 5th International Symposium on Analytic Hierarchy Process . 1999
  • 6Liu Q Z,,Wang Q.Product method of analytic hierarchy process. Asia Pacific Journal of Operational Research . 1991
  • 7Liu Q Z,Wang Q.Product method of AHP. Proceedings of International Symposium on the Analytic Hierarchy Process . 1988
  • 8Saaty T.L.Decision Making with Dependence and Feedback: The Analytic Network Process. . 2001
  • 9Saaty T L.Relative measurement and its generalization in decision making why pairwise comparisons are central in mathematics for the measurement of intangible factors the analytic hierarchy /network process. Rev.R.Acad.Cien.Serie A.Mat . 2008
  • 10Liu Qizhi.Product AHP and It’’s propertites. Proceedings of the 6th International Symposium on The Analytic Hierarchy Process . 2001

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