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电子学报 ›› 2014, Vol. 42 ›› Issue (12): 2509-2514.DOI: 10.3969/j.issn.0372-2112.2014.12.025

• 科研通信 • 上一篇    下一篇

属性权重不确定的直觉模糊多属性决策的威胁评估方法

王毅1,2, 刘三阳1, 张文2, 王亚男2   

  1. 1. 西安电子科技大学数学与统计学院, 陕西西安 710071;
    2. 空军工程大学防空反导学院, 陕西西安 710051
  • 收稿日期:2012-12-06 修回日期:2013-11-26 出版日期:2014-12-25
    • 作者简介:
    • 王 毅 男,1979年生,上海人,博士后,现为空军工程大学防空反导学院讲师,研究方向为智能信息处理. E-mail:wangyi.kgd@gmail.com;刘三阳 男,1959年生,教授,博士生师,现为西安电子科技大学理学院院长,主要从事智能信息处理和最优化等方面的研究工作;张 文 男,1964年生,教授,硕士生导师,现为现为空军工程大学防空反导学院副院长,研究方向为智能信息处理;王亚男 女,1988年生,现为空军工程大学防空反导学院博士研究生,研究方向为智能信息处理.
    • 基金资助:

    • 国家自然科学基金 (No.61402517,No.61309022,No.61272011,No.60773209); 中国博士后基金 (No.2013M542331); 陕西省自然科学基金 (No.2013JQ8035); 宇航动力学国家重点实验室基金 (No.2012ADL_DW0301)

Threat Assessment Method with Uncertain Attribute Weight Based on Intuitionistic Fuzzy Multi-Attribute Decision

WANG Yi1,2, LIU San-yang1, ZHANG Wen2, WANG Ya-nan2   

  1. 1. School of Mathematics and Statistics, Xidian University, Xi'an, Shaanxi 710071, China;
    2. Air Force Engineering University Air Defense and Anti-missile Institute, Xi'an, Shaanxi 710051, China
  • Received:2012-12-06 Revised:2013-11-26 Online:2014-12-25 Published:2014-12-25

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摘要：

在直觉模糊集的框架下,重点研究了目标属性值为区间数且权重完全未知,决策者对方案具有偏好信息的问题,提出一种属性权重不确定的直觉模糊多属性决策的威胁评估方法.首先,针对上述问题,建立了直觉模糊区间判断矩阵,给出了目标属性为区间数的指标值规范化处理方法;其次,分析了决策者对方案中所涉及的目标属性、属性权重及决策者权威度,建立了群决策的方案偏好模型;再次,针对目标属性值在某一区间内变化的特点,给出了直觉模糊区间值的接近度与理想解的定义,建立了最优属性权重约束优化模型;最后,以典型的威胁评估实例验证了该方法可同时反映主观和客观信息对目标威胁评估的影响,可有效避免因部分传感器失效或受外界环境因素影响以及决策者主观经验所带来的偏差,实际目标威胁评估结果验证了该方法的优越性.

关键词: 直觉模糊集, 区间判断矩阵, 多属性决策, 威胁评估

Abstract:

Under the framework of IFS(Intuitionistic Fuzzy Sets),aiming at the situation that targets' attributes are interval value,the weights are totally unknown,and decision-makers have preference information,a threat assessment method with uncertain attribute weight based on intuitionistic fuzzy multi-attribute decision is proposed.Firstly,based on the above-mentioned problem,intuitionistic fuzzy interval judgment matrix is set up,and a standard interval value index processing method is put forward;secondly,by analyzing the target attribute,attribute weight,and decision-makers' authority degree in project,the preference project model in group decision making is finally constructed;thirdly,according to the attribute's variety character in interval value,the definition of intuitionistic fuzzy interval value's similarity and ideal resolve is given,and the optimization attribute weight restriction model is built up;lastly,some typical threat assessment examples are cited to verify that the method can reflect the influence of both subjective and objective information,which can avoid the deviation caused by sensor invalidation,outside environment's effect,or decision-makers' subjective experience.Finally,the superiority of the method is proved by the threat assessment of some typical targets.

Key words: intuitionistic fuzzy sets, interval judgment matrix, multiple-attribute decision, threat assessment

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