系统工程与电子技术

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考虑可信度和方案偏好的犹豫模糊决策方法

刘小弟1,2, 朱建军1, 张世涛1,2   

  1. (1. 南京航空航天大学经济与管理学院, 江苏 南京 211106;
    2. 安徽工业大学数理学院, 安徽 马鞍山243002)
  • 出版日期:2014-07-22 发布日期:2010-01-03

Hesitant fuzzy decision making method with confidence levels and #br# preference information on alternatives

LIU Xiaodi1,2, ZHU Jianjun1, ZHANG Shitao1,2   

  1. (1.College of Economics and Management, Nanjing University of Aeronautics and Astronautics,
     Nanjing 211106, China; 2. School of Mathematics and Physics, 
    Anhui University of Technology, Maanshan 243002, China)
  • Online:2014-07-22 Published:2010-01-03

摘要:

研究了对方案有偏好的犹豫模糊多属性决策问题。对每一个评价值给出相应的可信度,用来表示决策者对专业领域的熟悉程度。基于可信度提出几个犹豫模糊信息关联度公式,并讨论了它们之间的关系。基于决策者的主观偏好与客观偏好之间的关联度建立属性权重模型。给出一种考虑可信度且对方案有偏好的犹豫模糊多属性决策方法。算例证明了所提方法的有效性。

Abstract:

The multiple attribute decision making problem with preference information on alternatives under the hesitant fuzzy environment is studied. Each evaluation value provided by decision makers for the projects has a corresponding confidence level denoting the degree that the decision makers are familiar with the professional field. Based on the confidence levels, some formulas of hesitant fuzzy correlation measure are proposed, and their relationship is also discussed. A mathematical model based on the correlation measure between subjective and objective preference information on alternatives is constructed to obtain the attribute weights. A hesitant fuzzy multiple attribute decision making method with confidence levels and preference information on alternatives is presented. Finally, a numerical example is given to verify the validity of the proposed method.