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中国管理科学 ›› 2006, Vol. ›› Issue (6): 104-108.

• 论文 • 上一篇    下一篇

一种具有不同粒度语言判断矩阵的群决策方法

姜艳萍, 樊治平   

  1. 东北大学工商管理学院, 辽宁, 沈阳, 110004
  • 收稿日期:2005-12-07 修回日期:2006-10-11 出版日期:2006-12-28 发布日期:2012-03-07
  • 基金资助:
    国家杰出青年科学基金资助项目(70525002);国家自然科学基金资助项目(70371050,70301008);教育部高等学校博士学科点专项科研基金资助项目(20040145018);辽宁省博士启动基金资助项目(20041019);东北大学流程工业综合自动化教育部重点实验室资助项目

A Method for Group Decision Making with Multi-Granularity Linguistic Preference Relations

JIANG Yan-ping, FAN Zhi-ping   

  1. School of Business Administration, Northeastern University, Shenyang 110004, China
  • Received:2005-12-07 Revised:2006-10-11 Online:2006-12-28 Published:2012-03-07

摘要: 针对具有不同粒度语言判断矩阵形式的偏好信息的群决策问题,提出了一种基于二元语义运算的群决策方法.在该方法中,首先给出了不同粒度语言判断矩阵的定义;然后给出了不同粒度语言判断矩阵一致化为由基本语言评价集表示的二元语义信息的方法,并且采用近年来最新发展的关于二元语义信息集结的加权平均算子和语言优势度直接对语言短语进行运算,最终确定最优方案;最后给出了一个算例.

关键词: 群决策, 不同粒度, 语言判断矩阵, 二元语义, 集结, 方案优选

Abstract: With respect to the group decision making problem with multi-granularity linguistic preference relations,a method based on two-tuple linguistic information processing for aggregating individual preference relations is proposed.In the method,firstly,the definition of multi-granularity linguistic preference relation is given.Then,a transformation function is given to uniform the multi-granularity linguistic preference relation into the format of two-tuple linguistic information assessed in basic linguistic term set.Based on the two-tuple weighted average aggregation operator and the linguistic dominance degree developed recently,the unified preference information is aggregated into the group preference and the most desirable alternatives is selected.Finally,an example is used to illustrate the use of the proposed approach.

Key words: group decision making, multi-granularity, linguistic preference relation, two-tuple, aggregation, alternatives selection

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