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Hesitant fuzzy agglomerative hierarchical clustering algorithms

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  • Xiaolu Zhang
  • Zeshui Xu

Abstract

Recently, hesitant fuzzy sets (HFSs) have been studied by many researchers as a powerful tool to describe and deal with uncertain data, but relatively, very few studies focus on the clustering analysis of HFSs. In this paper, we propose a novel hesitant fuzzy agglomerative hierarchical clustering algorithm for HFSs. The algorithm considers each of the given HFSs as a unique cluster in the first stage, and then compares each pair of the HFSs by utilising the weighted Hamming distance or the weighted Euclidean distance. The two clusters with smaller distance are jointed. The procedure is then repeated time and again until the desirable number of clusters is achieved. Moreover, we extend the algorithm to cluster the interval-valued hesitant fuzzy sets, and finally illustrate the effectiveness of our clustering algorithms by experimental results.

Suggested Citation

  • Xiaolu Zhang & Zeshui Xu, 2015. "Hesitant fuzzy agglomerative hierarchical clustering algorithms," International Journal of Systems Science, Taylor & Francis Journals, vol. 46(3), pages 562-576, February.
    • Handle: RePEc:taf:tsysxx:v:46:y:2015:i:3:p:562-576
    DOI: 10.1080/00207721.2013.797037
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    Cited by:

    1. Xiaoqiang Liu & Ji Li & Lei Shao & Hongli Liu & Lei Ren & Lihua Zhu, 2023. "Transformer Fault Early Warning Analysis Based on Hierarchical Clustering Combined with Decision Trees," Energies, MDPI, vol. 16(3), pages 1-14, January.
    2. Wang Feng, 2019. "Aggregation Similarity Measure Based on Hesitant Fuzzy Closeness Degree and Its Application to Clustering Analysis," Journal of Systems Science and Information, De Gruyter, vol. 7(1), pages 70-89, February.
    3. Liu, Jiayue & Ye, Jimin & E, Jianwei, 2023. "A multi-scale forecasting model for CPI based on independent component analysis and non-linear autoregressive neural network," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 609(C).
    4. Jianjun Zhu & Shitao Zhang & Ye Chen & Lili Zhang, 2016. "A Hierarchical Clustering Approach Based on Three-Dimensional Gray Relational Analysis for Clustering a Large Group of Decision Makers with Double Information," Group Decision and Negotiation, Springer, vol. 25(2), pages 325-354, March.

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