Abstract
In Data clustering, there are various Multiobjective clustering techniques evolved which can automatically partition the data into appropriate no of clusters. For achieving multiple objective functions simultaneously Multiobjective optimization technique is used. Three objective functions such as compactness, connectedness and symmetry of the cluster are optimized simultaneously using NSGA-II. The compactness of the cluster is based on Euclidean distance, a point symmetry based distance used to measure the symmetry of the cluster and Connectedness [1] of the cluster is measured by using relative neighborhood graph concept. Sub cluster are merged appropriately to form variable no of global cluster for objective function evaluation. In this method data is partitioned using k-means clustering algorithm and three objective functions such as compactness, symmetry and connectedness of cluster is optimized by using NSGA-II algorithm. In order to get appropriate no of cluster and accurate partitioning Two-Stage genetic algorithm is applied to these three objective functions.
Key-Words / Index Term
Euclidean distance,Genetic Algorithm,Multiobjective optimization (MOO),Relative neighborhood grap, Symmetry
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