导弹与制导技术

Vague 集理论在组合导航算法评价中的应用

  • 周江 ,
  • 王仕成 ,
  • 赵欣 ,
  • 张合新 ,
  • 张金生
展开
  • 第二炮兵工程大学,西安 710025

周江(1987-),男,河南信阳人,硕士研究生,研究方向:导航、制导与控制。

收稿日期: 2012-03-16

  网络出版日期: 2025-05-24

基金资助

国家自然科学基金(61004128)

The Evaluation of Integrated Navigation Algorithm Based on Vague Sets Theory

  • ZHOU Jiang ,
  • WANG Shicheng ,
  • ZHAO Xin ,
  • ZHANG Hexin ,
  • ZHANG Jinsheng
Expand
  • The Second Artillery Engineering University, Xi'an 710025, China

Received date: 2012-03-16

  Online published: 2025-05-24

摘要

由于组合导航信息融合算法缺乏有效的评估方法,提出了基于Vague集理论的评估模型。分析并完善了现有算法的评价指标,使其更能全面反应算法的综合性能;引入了属性测度理论用于Vague值选取,克服了以往经验赋值的主观性和盲目性;构建了模糊值转化规则,使用专家赋权法与熵权法结合的组合权重选取方法,改进了Vague集多指标决策的模糊值线性序法;最后应用此方法对组合导航信息融合算法品质进行评估,实验结果证明了该方法的有效性和实用性。

本文引用格式

周江 , 王仕成 , 赵欣 , 张合新 , 张金生 . Vague 集理论在组合导航算法评价中的应用[J]. 弹箭与制导学报, 2013 , 33(1) : 34 -38,43 . DOI: 10.15892/j.cnki.djzdxb.2013.01.003

Abstract

In view of lack of effective estimating methods for integrated navigation nainformation fusion algorithms, an evaluation model based on Vague sets was proposed in this paper. The evaluation index of existing information fusion algorithms was analyzed and completed by using this model so that the model can reflect the performance of information fusion algorithm comprehensively. Attribute measure theory was introduced to obtain the Vague values which can overcome the subjectivity and blindness of the traditional method by experience. The multi-criteria decision making method based on Vague sets and fuzzy linear ranking was improved by the constructing of transformation rule of Vague values and the application of combination weight selection method of combining Experts Weighing Method with Entropy Weight Method. Finally, this method was applied to evaluate the performance of integrated navigation information fusion method. The result indicates that this method is effective and useful.

参考文献

[1]
刘勇志, 贾兴亮, 刘丙杰. 一种组合导航滤波性能评估算法[J]. 弹箭与制导学报, 2008,28(5): 45- 47.
[2]
要瑞璞. 捷联式惯性导航系统性能综合评价新方法[J]. 计算机仿真, 2005(2): 48- 50.
[3]
姜兴宇, 王贵和, 张新敏. 面向全生命周期的产品质量综合评价方法研究[J]. 系统仿真学报, 2009, 20(20): 5581- 5584.
[4]
要瑞璞, 沈惠璋. 模糊模式识别在导航系统性能综合评价中的应用研究[J]. 舰船科学技术, 2009, 31(2): 97- 99.
[5]
Gau W L, Buehrer D J. Vague sets[J]. IEEE Trans. Systems Man and Cybernetic, 1993, 23(2): 610- 614.
[7]
Huang Kuo-chen,Yang G K. An enhanced method and its application for fuzzy multi-criteria decision making based on vague sets[J]. Computer-Aided Design,2008,40 (4): 447- 454.
[7]
Wang Ying-ming. Multiple attribute decision making based on fuzzy preference information on alternatives Ranking and weighting[J]. Fuzzy Sets and Systems,2005,153 (3): 331 - 346.
[8]
Ye Jun. Improved method of multicriteria fuzzy decision making based on vague sets[J]. Computer-Aided Design, 2007, 39: 164 - 169.
[9]
Gau Wen-Lung,Daniel J. Vague sets[J]. IEEE Transactions on Systems,Man,and Cybernetics,1993,23 (2): 610 - 614.
[10]
Hong D H,Choi C H. Multicriteria fuzzy decision making problems based on vague set theory[J]. Fuzzy Sets and Systems,2000, 114(1): 103 - 113.
[11]
要瑞璞,沈惠璋. Vague 集多指标决策的模糊值线性序法[J]. 计算机工程与应用, 2009, 45(28): 39 - 40.
[12]
程乾生.质量评价的属性数学模型和模糊数学模型 [J]. 数理统计与管理, 1997, 16(6): 18 - 23.
文章导航

/