Multi-Objective Differential Evolution for Automatic Clustering with Application to Micro-Array Data Analysis

Autor: Sang Yong Han, Swagatam Das, Ajith Abraham, Kaushik Suresh, Debarati Kundu, Sayan Ghosh
Jazyk: angličtina
Rok vydání: 2009
Předmět:
Zdroj: Sensors, Vol 9, Iss 5, Pp 3981-4004 (2009)
Druh dokumentu: article
ISSN: 1424-8220
DOI: 10.3390/s90503981
Popis: This paper applies the Differential Evolution (DE) algorithm to the task of automatic fuzzy clustering in a Multi-objective Optimization (MO) framework. It compares the performances of two multi-objective variants of DE over the fuzzy clustering problem, where two conflicting fuzzy validity indices are simultaneously optimized. The resultant Pareto optimal set of solutions from each algorithm consists of a number of non-dominated solutions, from which the user can choose the most promising ones according to the problem specifications. A real-coded representation of the search variables, accommodating variable number of cluster centers, is used for DE. The performances of the multi-objective DE-variants have also been contrasted to that of two most well-known schemes of MO clustering, namely the Non Dominated Sorting Genetic Algorithm (NSGA II) and Multi-Objective Clustering with an unknown number of Clusters K (MOCK). Experimental results using six artificial and four real life datasets of varying range of complexities indicate that DE holds immense promise as a candidate algorithm for devising MO clustering schemes.
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