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 (1): 129-132.DOI: -

• 论著 • 上一篇    下一篇

二元语义判断矩阵的一致性分析

姜艳萍;邢艳楠;   

  1. 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
  • 收稿日期:2013-06-27 修回日期:2013-06-27 出版日期:2007-01-15 发布日期:2013-06-24
  • 通讯作者: Jiang, Y.-P.
  • 作者简介:-
  • 基金资助:
    国家自然科学基金资助项目(70301008);;

Consistency analysis of two-tuple linguistic judgement matrix

Jiang, Yan-Ping (1); Xing, Yan-Nan (1)   

  1. (1) School of Business Administration, Northeastern University, Shenyang 110004, China
  • Received:2013-06-27 Revised:2013-06-27 Online:2007-01-15 Published:2013-06-24
  • Contact: Jiang, Y.-P.
  • About author:-
  • Supported by:
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摘要： 二元语义分析方法是关于语言信息集结的新方法,它可以方便地进行语言的运算,并且可以避免在语言信息的集结过程中信息的损失和语言信息集结结果的不精确性.研究了二元语义判断矩阵的一致性问题.首先对二元语义的概念进行了描述,给出了关于二元语义比较的规则;然后在给出二元语义判断矩阵及其加性一致性和满意一致性等有关概念的基础上,提出了几种关于二元语义判断矩阵加性一致性和满意一致性的判定方法;分析了加性一致性和满意一致性的关系.最后给出了算例.

关键词: 决策分析, 二元语义判断矩阵, 加性一致性, 满意一致性, 判定方法

Abstract: The two-tuple fuzzy linguistic representation model is a new approach to linguistic information aggregating, which make the aggregating result more precise and the language operation process easier and can avoid losing or distorting some of the original preference information in the process of aggregating linguistic information. The consistency of two-tuple linguistic judgement matrix is studied. Describing the definition of two-tuple, the rules to compare two different two-tuples are given. Several judgement approaches to the additivity consistency and satisfaction consistency of the two-tuple linguistic judgement matrix are introduced according to their concepts. Furthermore, the relationship between additivity and satisfaction consistencies is analyzed. An example is given to illustrate the use of the proposed approaches.

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