New Internal Clustering Evaluation Index Based on Line Segments

  • Juan Carlos Rojas Thomas
  • Matilde Santos PeñasEmail author
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 11871)


This work proposes a new internal clustering evaluation index, based on line segments as central elements of the clusters. The data dispersion is calculated as the average of the distances of the cluster to the respective line segment. It also defines a new measure of distance based on a line segment that connects the centroids of the clusters, from which an approximation of the edges of their geometries is obtained. The proposed index is validated with a series of experiments on 10 artificial data sets that are generated with different cluster characteristics, such as size, shape, noise and dimensionality, and on 8 real data sets. In these experiments, the performance of the new index is compared with 12 representative indices of the literature, surpassing all of them. These results allow to conclude the effectiveness of the proposal and shows the appropriateness of including geometric properties in the definition of internal indexes.


Clustering evaluation Internal indexes Geometry Line segment 


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Copyright information

© Springer Nature Switzerland AG 2019

Authors and Affiliations

  • Juan Carlos Rojas Thomas
    • 1
  • Matilde Santos Peñas
    • 2
    Email author
  1. 1.Departamento de Informática y AutomáticaUNEDMadridSpain
  2. 2.Facultad de InformáticaUniversidad Complutense de MadridMadridSpain

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