A PROPOSED ALGORITHM FOR DETERMINING THE OPTIMAL NUMBER OF CLUSTERS

  • Markela Muca Department of Applied Mathematics, Faculty of Natural Sciences, University of Tirana, Albania
  • Gleda Kutrolli Quant Department, ikubINFO Software Solutions ltd, Albania
  • Maksi Kutrolli Department of Computer Sciences, Faculty of Information Technology, "Aleksander Moisiu" University, Albania

Abstract

Data clustering is a data exploration technique that allows objects with similar characteristics to be grouped together in order to facilitate their further processing. The K-means algorithm is a popular data-clustering algorithm. However, one of its drawbacks is the requirement for the number of clusters, K, to be specified before the algorithm is applied. This paper first reviews existing methods for selecting the number of clusters for the algorithm. Factors that affect this selection are then discussed and an improvement of the existing k-means algorithm to assist the selection is proposed. The paper concludes with an analysis of the results of using cluster validation referring to some measures that are classified as internal and external indexes to determine the optimal number of clusters for the K-means algorithm. There are applied some stopping criterion referring to those indexes for evaluating a clustering against a gold standart.

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Published
2015-12-30
How to Cite
Muca, M., Kutrolli, G., & Kutrolli, M. (2015). A PROPOSED ALGORITHM FOR DETERMINING THE OPTIMAL NUMBER OF CLUSTERS. European Scientific Journal, ESJ, 11(36). https://doi.org/10.19044/esj.2015.v11n36p%p