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中国管理科学 ›› 2011, Vol. 19 ›› Issue (3): 141-147.

• 论文 • 上一篇    下一篇

群决策中三端点语言和互补偏好信息的转化及集结研究

朱建军, 刘思峰, 田飞   

  1. 南京航空航天大学经济与管理学院, 江苏南京210016
  • 收稿日期:2010-08-09 修回日期:2011-05-01 出版日期:2011-06-30 发布日期:2011-06-30
  • 作者简介:朱建军(1976- ),男(汉族),江苏丹阳人,南京航空航天大学经济与管理学院,教授,博导,研究方向:群决策理论与方法、灰色系统理论.
  • 基金资助:

    国家自然科学基金重大研究计划培育项目(90924022);国家自然科学基金项目(70701017,70971064);南京航空航天大学基本科研业务费专项科研基金(NS2010209)

Information Translation and Aggregation Approach on Three-Point Linguistic and Complementary Preference in Group Decision Making

ZHU Jian-jun, LIU Si-feng, TIAN Fei   

  1. College of Economics and Management, Nanjing University of Aeronautics and Astronautics, Nanjing 210016, China
  • Received:2010-08-09 Revised:2011-05-01 Online:2011-06-30 Published:2011-06-30

摘要: 研究了群决策中三端点语言判断矩阵和三端点互补判断矩阵的集结方法。基于两类判断标度的内涵,研究了两种三端点偏好形式相互转化的数学方式;从次序一致性和完全一致性角度,分析了偏好形式转化过程中的信息变化情况;提出了基于灰色关联度的群体一致度测算方法,研究了决策者权重确定方法,进而提出了两类三端点偏好的集结方法,文后通过算例说明了方法的应用步骤。

关键词: 群决策, 三端点语言判断, 三端点互补判断矩阵, 信息转化, 集结

Abstract: The aggregation approach of three-point interval linguistic judgment matrix and complementary preference judgment matrix is studied in this paper.Firstly,the translation approach of two kinds of preference information is put forw ard.Secondly,the information change during the translation process is studied according to the angle of the order consistency and complete consistency.Thirdly,the definition of the group consistency degree based on the grey relationship is put forw ard and the decision maker's weight is suggested.Finally,the aggregation method of the two kinds of three-point interval preference is suggested.The application steps are showed by an example.

Key words: group decision making, three-pointinter valling uistic judgment, three-pointinterval complementary judgment, preference translation, aggregation

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