期刊文献+

规范化公式对无关方案独立性的影响 被引量:5

Effects of Normalizing Formulaeon Independence from Irrelevant Alternatives
下载PDF
导出
摘要 对决策矩阵进行规范化处理是MCDM决策的必要步骤,其目的是消除指标单位影响,使得不同指标的值具有可加性。目前针对不同类型的指标存在着不同的规范化公式,本文指出利用规范化公式对决策矩阵进行处理会破坏方案之间的独立性,导致评价违反无关方案独立性,并产生逆序;并以基于WAA算子的决策为例在数学上推导了决策矩阵规范化致使无关方案独立性的违背以及逆序的产生的必然性,最后用具体的数例验证了这一结论。 <Abstrcat> Normalizing decision matrix is one of the necessary steps for transacting the MCDM with the aim of eliminating the influence of the target's unit, so that different targets' expected values are additive. Now many normalizing formulae were proposed according to different kinds of the target. The paper point out that normalizing formulae' application will (result) in violations of independence from irrelevant alternatives and lead rank reversal; and take the WAA operator as an (example) to deduce in theory that violation of the independence is inevitability only if the normalizing formulae are utilized; and validate the conclusion using specific data at last.
作者 章玲 周德群
出处 《系统工程》 CSCD 北大核心 2005年第5期124-126,共3页 Systems Engineering
关键词 MCDM决策 规范化处理 无关方案独立性 逆序 MCDM Decision Normalizing Independence from Irrelevant Alternatives Rank Reversal
  • 相关文献

参考文献10

  • 1Zanakis S H, Solomon A, Wishart N, et al. Multi-attribute decision making:a simulation comparison of select methods[J]. European Journal of Operational Research,1998,107(3):507~529.
  • 2Pan J P,Rahman S. Multiattribute utility analysis with imprecise information: an enhanced decision support technique for the evaluation of electric generation expansion strategies[J]. Electric Power Systems Research,1998,46(2): 101~109.
  • 3Fernandez E,Leyva J C. A method based on multiobjective optimization for deriving a ranking from a fuzzy preference relation[J]. European Journal of Operational Research,2004,154(1):110~124.
  • 4Ramanathan R.Data envelopment analysis for weight derivation and aggregation in the analytic hierarchy process[J]. Computers & Operations Research,2005,(January):1~19.
  • 5Busemeyer J B,Diederich A. Survey of decision field theory [J]. Mathematical Social Sciences, 2002,43(3):345~370.
  • 6Ehlers L. Independence axioms for the provision of multiple public goods as options[J]. Mathematical Social Sciences,2001,41(2):239~250.
  • 7Gensch D H,Ghose S. Differences in independence of irrelevant alternatives at individual vs aggregate levels, and at single pair vs full choice set [J]. Omega,1997,25(2):201~214.
  • 8Gensch D H, Ghose S. Improving PRETREE's predictive capabilities[J]. European Journal of Operational Research,1997,97(3):465~479.
  • 9Fry T R L,Harris M N. A Monte Carlo study of tests for the independence of irrelevant alternatives property [J].Transportation Research Part B:Methodological,1996,30(1):19~30.
  • 10McLean I. Independence of irrelevant alternatives before Arrow [J]. Mathematical Social Sciences,1995,30(2):107~126.

同被引文献40

  • 1李美娟,陈国宏,陈衍泰.综合评价中指标标准化方法研究[J].中国管理科学,2004,12(z1):45-48. 被引量:185
  • 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肖新平,谢录臣,黄定荣.灰色关联度计算的改进及其应用[J].数理统计与管理,1995,14(5):27-30. 被引量:58
  • 4章玲,周德群,李洪伟,朱佩枫.应用规范化公式的MCDM保序研究[J].中国工程科学,2006,8(12):85-88. 被引量:2
  • 5张运峰.AHP逆序的新探索[J].系统工程理论与实践,1997,17(6):62-67. 被引量:5
  • 6Zanakis S H, Solomon A, Wishart N, et al. Multiattribute decision making: a simulation comparison of select methods [ J ]. European Journal of Operational Research, 1998, 107 (3) : 507 - 529
  • 7Pan J P, Rahman S. Muhiattribute utility analysis with imprecise information: an enhanced decision support technique for the evaluation of electric generation expansionstrategies[J].Electric Power Systems Research, 1998,46 (2):101 - 109
  • 8Fernandez E, Leyva J C. A method based on multiobjective optimization for deriving a ranking from a fuzzy preference relation [ J ]. European Journal of Operational Research, 2004, 154(1): 110-124
  • 9Ramanathan R, Data envelopment analysis for weight derivation and aggregation in the analytic hierarchy process[J]. Computers & Operations Research, 2006, (5):1289 - 1307
  • 10Jerome R, Diederieh B A. Survey of decision field theory[J]. Mathematical Social Sciences, 2002, 43(3): 345 -370

引证文献5

二级引证文献45

相关作者

内容加载中请稍等...

相关机构

内容加载中请稍等...

相关主题

内容加载中请稍等...

浏览历史

内容加载中请稍等...
;
使用帮助 返回顶部