Distance Analysis of Hesitant Fuzzy Set and Its Application in Fusion Recognition on Decision Making Level

YU Miao; SUN Gui-dong; LI Shuang-ming

doi:10.12263/DZXB.20220938

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Distance Analysis of Hesitant Fuzzy Set and Its Application in Fusion Recognition on Decision Making Level

PAPERS | 更新时间：2026-04-10

- Distance Analysis of Hesitant Fuzzy Set and Its Application in Fusion Recognition on Decision Making Level
- ACTA ELECTRONICA SINICA Vol. 52, Issue 1, Pages: 181-192(2024)
- 作者机构：
  
  1.中国人民解放军某部,北京 100000
  2.中国人民解放军32801部队,北京 100082
  3.中国人民解放军92941部队,辽宁葫芦岛 125001
- 作者简介：
- 基金信息：
- DOI：10.12263/DZXB.20220938
  CLC： TP391;O235
- Received：09 August 2022，
  
  Revised：2022-10-09，
  
  Published：25 January 2024
- 稿件说明：
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于淼,孙贵东,李双明.犹豫模糊距离测度分析及其在决策层融合识别中的应用[J].电子学报,2024,52(01):181-192.

YU Miao, SUN Gui-dong, LI Shuang-ming.Distance Analysis of Hesitant Fuzzy Set and Its Application in Fusion Recognition on Decision Making Level[J].Acta Electronica Sinica, 2024, 52(01): 181-192.
于淼,孙贵东,李双明.犹豫模糊距离测度分析及其在决策层融合识别中的应用[J].电子学报,2024,52(01):181-192. DOI：10.12263/DZXB.20220938

YU Miao, SUN Gui-dong, LI Shuang-ming.Distance Analysis of Hesitant Fuzzy Set and Its Application in Fusion Recognition on Decision Making Level[J].Acta Electronica Sinica, 2024, 52(01): 181-192. DOI：10.12263/DZXB.20220938

摘要

现有的犹豫模糊距离测度大多数受犹豫模糊数隶属度个数延拓补值和顺序重排条件的限制，在一定条件下导致度量结果不准确.为此，本文提出基于距离矩阵的犹豫模糊距离测度，分析了现有犹豫模糊比较法则的局限性，定义了新的全序比较法则；提出了距离矩阵概念，合理解释了现有犹豫模糊距离测度的不足.结合犹豫模糊新比较法则、新提出的特征距离、前景理论和集成算子，形成了CDPA（Comparison，Distance，Prospect，Aggregation）识别决策新方法，并应用于决策层融合识别解决目标威胁判定问题.结果表明，该距离测度能够解决延拓补值和顺序重排的问题，识别准确.

Abstract

Most of the existing distance measures for the HFS (Hesitant Fuzzy Set) and its extensions either require the length of the membership in the HFEs (Hesitant Fuzzy Elements) to be equal or need to rearrange the order

which result in error and information loss under certain circumstances. In order to solve these problems

we propose a distance measure of HFS based on distance matrix. The limitations of the existing hesitant fuzzy comparison rules are analyzed

and a new total order comparison rule is defined. The proposed distance can reasonably explain the shortcomings of the existing hesitant fuzzy distance measures. Furthermore

we explore a CDPA (Comparison

Distance

Prospect

Aggregation) method by using a new comparison law

the proposed characteristic distance measure

prospect theory notion and aggregation operators. Finally

we apply the CDPA method to the decision making level target recognition and solve a target threat judgment problem. The results show that the proposed method can liberate the length and order to obtain correct recognition.

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references

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YU Miao

SUN Gui-dong

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