东北大学学报（自然科学版）

东北大学学报(自然科学版) ›› 2007, Vol. 28 ›› Issue (7): 1057-1060.DOI: -

• 论著 • 上一篇    下一篇

一种基于不同粒度语言判断矩阵的群决策方法

陈岩;樊治平;陈侠;   

  1. 东北大学工商管理学院;东北大学工商管理学院;东北大学工商管理学院 辽宁沈阳110004;辽宁沈阳110004;辽宁沈阳110004
  • 收稿日期:2013-06-24 修回日期:2013-06-24 出版日期:2007-07-15 发布日期:2013-06-24
  • 通讯作者: Chen, Y.
  • 作者简介:-
  • 基金资助:
    国家杰出青年科学基金资助项目(70525002);;

Method for group decision-making based on linguistic judgment matrices with different granularities

Chen, Yan (1); Fan, Zhi-Ping (1); Chen, Xia (1)   

  1. (1) School of Business Administration, Northeastern University, Shenyang 110004, China
  • Received:2013-06-24 Revised:2013-06-24 Online:2007-07-15 Published:2013-06-24
  • Contact: Chen, Y.
  • About author:-
  • Supported by:
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摘要： 针对基于不同粒度语言判断矩阵的群决策问题,提出了一种新的群决策分析方法.对有序语言短语集中的语言短语进行“量化”,通过变量转换关系将语言判断矩阵转换为互补判断矩阵,并进行了判断信息转换的一致性分析;采用OWA算子将每个决策者给出语言判断矩阵所对应的互补判断矩阵集结为群的偏好矩阵,并通过计算每个方案的优势度来确定最优方案;最后给出一个算例说明了所提出的方法的有效性与实用性.

关键词: 群决策, 语言判断矩阵, OWA算子, 集结, 方案优选

Abstract: With regard to the group decision-making based on linguistic judgment matrices with different granularities, a new method of analysis is proposed. The linguistic terms in ordered linguistic terms sets are 'quantized' to transform the original linguistic judgment matrices into complementary ones through variables' conversion, with a consistency analysis done for the transformation of judgement matrices. Then, the complementary judgment matrices are aggregated into a group preference matrix by the OWA operator and the best alternative is determined by computing the dominance of every alternative. A numerical example is given to illustrate the practicability and usefullness of the method proposed.

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