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A hybrid fuzzy method for performance evaluation of fusion algorithms for integrated navigation system

机译：组合导航系统融合算法性能评估的混合模糊方法

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摘要

Aiming at the problem that traditional evaluation methods based on analytic hierarchy process (AHP) are influenced by subjectivity, this paper proposes an efficacious evaluation method which combines fuzzy logarithmic least square AHP method (fuzzy LLSM) with fuzzy comprehensive evaluation (FCE) method. Fuzzy LLSM is applied to derive the weights and FCE method is for comprehensive evaluation. Then FCE method would provide evaluation results through synthesizing the derived weight vector and membership matrix by a fuzzy operator based upon weighted average. Considering that the membership matrix requires a crisp weight vector to implement synthesis, but the derived weights have the problems of non-uniqueness and fuzziness, so we deduce the constraints to ensure the uniqueness of weights. And defuzzification of fuzzy weights is realized by using the CFCS (Converting Fuzzy numbers into Crisp Scores) method. As a result, the unique and defuzzificated weights are available to synthesis for FCE method directly. Taking the performance evaluation of SINS/Land-based/GPS integrated navigation system for a numerical example, some simulations have been carried out and we draw the conclusion that, the proposed fuzzy LLSM AHP-FCE method is superior to the existing and representative methods when applied to performance evaluation of fusion algorithm for integrated navigation system. (C) 2017 Elsevier Masson SAS. All rights reserved.
机译：针对传统的基于层次分析法的评价方法受主观性影响的问题，提出了一种有效的评价方法，将模糊对数最小二乘AHP方法（模糊LLSM）与模糊综合评价（FCE）方法相结合。应用模糊LLSM推导权重，采用FCE方法进行综合评价。然后FCE方法将通过基于加权平均值的模糊算子对导出的权重向量和隶属度矩阵进行综合，从而提供评估结果。考虑到隶属度矩阵需要一个清晰的权重向量来实现综合，但是导出的权重存在非唯一性和模糊性的问题，因此我们推导了确保权重唯一性的约束条件。通过使用CFCS（将模糊数转换为酥脆分数）方法实现了模糊权重的去模糊化。结果，独特的和去模糊的权重可直接用于FCE方法的综合。以SINS / Land / GPS组合导航系统的性能评估为数值实例，进行了一些仿真，得出的结论是，所提出的模糊LLSM AHP-FCE方法优于现有的代表性方法。应用于融合导航系统融合算法的性能评估。 （C）2017 Elsevier Masson SAS。版权所有。

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  • 来源
    《Aerospace science and technology》 |2017年第10期|226-235|共10页
  • 作者

    Wang Xinlong; Wang Xun; Zhu Jiafang; Li Feng; Li Qunsheng; Che Huan;

  • 作者单位

    Beihang Univ, Sch Astronaut, Beijing 100191, Peoples R China;

    China Aerosp Sci & Ind Corp, Inst 33, Beijing 100074, Peoples R China;

    Beihang Univ, Sch Astronaut, Beijing 100191, Peoples R China;

    China Aerosp Sci & Ind Corp, Inst 33, Beijing 100074, Peoples R China;

    Beihang Univ, Sch Instrumentat Sci & Optoelect Engn, Beijing 100191, Peoples R China;

    Open Res State Key Lab Space Ground Integrated In, Beijing 100086, Peoples R China;

  • 收录信息 美国《科学引文索引》(SCI);美国《工程索引》(EI);
  • 原文格式 PDF
  • 正文语种 eng
  • 中图分类
  • 关键词

    Performance evaluation; Fuzzy AHP; FCE; Integrated navigation;

    机译：性能评估;模糊层次分析法;FCE;集成导航;

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