A Novel Multi-Objective Genetic Algorithm for Clustering

In this paper, we introduce a new Multi-Objective Clustering algorithm (MOCA). The use of Multi-Objective optimisation in clustering is desirable because it permits the incorporation of different criteria for cluster quality. Since the criteria to establish what constitutes a good clustering is far from clear, it is beneficial to develop algorithms that allow for multiple criteria to be accommodated.

The algorithm proposes a new implementation of multi-objective clustering by using a centroid based technique. We explain the implementation details and perform experimental work to establish its worth. We construct a robust experimental set up with a large number of synthetic databases, each with a pre-defined optimal clustering solution. We measure the success of the new MOCA by investigating how often it is capable of finding the optimal solution. We compare MOCA with k-means and find some promising results. MOCA can generate a pool of clustering solutions that is more likely to contain the optimal clustering solution than the pool of solutions generated by k-means.