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Optimal Number of Clusters Finding Using the Fireworks Algorithm

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Book cover Hybrid Intelligent Systems in Control, Pattern Recognition and Medicine

Part of the book series: Studies in Computational Intelligence ((SCI,volume 827))

Abstract

The main goal of this paper is to find the optimal number of clusters for data set ungrouped using an optimization algorithm; in this case, we are using Fireworks Algorithm (FWA). The optimal number of clusters will be finding based on centroids and to determine the maximum K centroids of the interval where to search the Fireworks Algorithm, we are introducing two statistics rules: Sturges Law and the square root of N, also we are introducing two metrics to evaluate the clusters, which are Intra-clusters and Inter-clusters.

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Author information

Authors and Affiliations

  1. Tijuana Institute of Technology, Tijuana, Mexico

    Juan Barraza, Fevrier Valdez, Patricia Melin & Claudia González

Authors
  1. Juan Barraza
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  2. Fevrier Valdez
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  3. Patricia Melin
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  4. Claudia González
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Corresponding author

Correspondence to Patricia Melin .

Editor information

Editors and Affiliations

  1. Division of Graduate Studies and Research, Tijuana Institute of Technology, Tijuana, Baja California, Mexico

    Oscar Castillo

  2. Division of Graduate Studies and Research, Tijuana Institute of Technology, Tijuana, Baja California, Mexico

    Patricia Melin

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Barraza, J., Valdez, F., Melin, P., González, C. (2020). Optimal Number of Clusters Finding Using the Fireworks Algorithm. In: Castillo, O., Melin, P. (eds) Hybrid Intelligent Systems in Control, Pattern Recognition and Medicine. Studies in Computational Intelligence, vol 827. Springer, Cham. https://doi.org/10.1007/978-3-030-34135-0_7

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