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Similar Coefficient of Cluster for Discrete Elements

Author

Listed:
  • Tai VoVan

    (Can Tho University)

  • Thao Nguyen Trang

    (Ton Duc Thang University
    Ton Duc Thang University)

Abstract

This article proposes a new concept called Cluster Similar Coefficient (CSC) for discrete elements. CSC is not only used as a criterion to build cluster by hierarchical and non-hierarchical approaches but also to evaluate the quality of established clusters quality. Based on CSC, we also propose four algorithms: to determine the suitable number of clusters, to analyze the non-fuzzy clusters, to analyze the fuzzy clusters and to build clusters with given CSC. The proposed algorithms are performed by Matlab procedures that would allow users to perform efficiently and conveniently in practice. The numerical examples demonstrate suitability and advantages of using CSC as a criterion to build the clusters in comparing with others.

Suggested Citation

  • Tai VoVan & Thao Nguyen Trang, 2018. "Similar Coefficient of Cluster for Discrete Elements," Sankhya B: The Indian Journal of Statistics, Springer;Indian Statistical Institute, vol. 80(1), pages 19-36, May.
    • Handle: RePEc:spr:sankhb:v:80:y:2018:i:1:d:10.1007_s13571-018-0159-0
    DOI: 10.1007/s13571-018-0159-0
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    References listed on IDEAS

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    1. Wen-Liang Hung & Jenn-Hwai Yang, 2015. "Automatic clustering algorithm for fuzzy data," Journal of Applied Statistics, Taylor & Francis Journals, vol. 42(7), pages 1503-1518, July.
    2. Lauritzen, Steffen L., 1995. "The EM algorithm for graphical association models with missing data," Computational Statistics & Data Analysis, Elsevier, vol. 19(2), pages 191-201, February.
    3. Lawrence Hubert & Phipps Arabie, 1985. "Comparing partitions," Journal of Classification, Springer;The Classification Society, vol. 2(1), pages 193-218, December.
    4. Tai Vo Van & T. Pham-Gia, 2010. "Clustering probability distributions," Journal of Applied Statistics, Taylor & Francis Journals, vol. 37(11), pages 1891-1910.
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    Cited by:

    1. Tai Vovan & Dinh Phamtoan & Le Hoang Tuan & Thao Nguyentrang, 2021. "An automatic clustering for interval data using the genetic algorithm," Annals of Operations Research, Springer, vol. 303(1), pages 359-380, August.

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