东北大学学报（自然科学版）

东北大学学报(自然科学版) ›› 2011, Vol. 32 ›› Issue (6): 883-886.DOI: -

• 论著 • 上一篇    下一篇

基于风险态度因子的不确定语言多指标决策方法

张尧;樊治平;   

  1. 东北大学工商管理学院;
  • 收稿日期:2013-06-19 修回日期:2013-06-19 发布日期:2013-04-04
  • 通讯作者: -
  • 作者简介:-
  • 基金资助:
    国家创新研究群体科学基金资助项目(71021061);;

A method for uncertain linguistic multiple criteria decision making based on risk attitude factor

Zhang, Yao (1); Fan, Zhi-Ping (1)   

  1. (1) School of Business Administration, Northeastern University, Shenyang 110819, China
  • Received:2013-06-19 Revised:2013-06-19 Published:2013-04-04
  • Contact: Zhang, Y.
  • About author:-
  • Supported by:
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摘要： 针对具有残缺不确定语言信息的多指标决策问题,提出了一种基于风险态度因子的决策分析方法.对具有残缺不确定语言决策矩阵的多指标决策问题进行了描述;以最大语言区间代替矩阵中的缺失值,得到具有完全信息的不确定语言决策矩阵并进行规范化;通过具有风险态度因子的不确定语言映射函数,将不确定语言决策矩阵转化为一定风险态度下的二元语义决策矩阵;利用ETOWA算子,计算出每个方案的综合评价值,从而依据二元语义的比较原则,可得到所有方案的排序结果.通过给出一个算例,说明了不同风险水平下决策结果的差异性.

关键词: 多指标决策, 不确定语言信息, 风险态度因子, 二元语义, 方案排序

Abstract: For multiple criteria decision making (MCDM) problems with uncertain linguistic information, a decision analysis method based on risk attitude factor is proposed. Firstly, the MCDM problem with incomplete uncertain linguistic judgment is described; then, missing values in the judgment are replaced by maximum linguistic interval and complete uncertain linguistic judgment is obtained; thus, the normalized complete uncertain linguistic judgment is transformed into two-tuple judgment by uncertain linguistic mapping function involving risk attitude factor; therefore, appraisal value of each alternative is calculated using ETOWA operator, and the ranking of alternatives is obtained by the comparison of linguistic two-tuple. Finally, a numerical example is used to illustrate the difference of alternative ranking through picking up different risk attitude factors.

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