Algorithms for clustering data
Algorithms for clustering data
A Validity Measure for Fuzzy Clustering
IEEE Transactions on Pattern Analysis and Machine Intelligence
Pattern Recognition with Fuzzy Objective Function Algorithms
Pattern Recognition with Fuzzy Objective Function Algorithms
Journal of Global Optimization
A fast and elitist multiobjective genetic algorithm: NSGA-II
IEEE Transactions on Evolutionary Computation
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Microarray technology facilitates the monitoring of the expression profile of a large number of genes across different experimental conditions or tissue samples simultaneously. Microarray technology is being utilized in cancer diagnosis through the classification of the tissue samples. In this article, we have presented an integrated unsupervised technique for cancer classification. The proposed method is based on multiobjective differential fuzzy clustering of the tissue samples. In this regard, real coded encoding of the cluster centres is used and two fuzzy cluster validity indices are simultaneously optimized. The resultant set of near-Pareto-optimal solutions contains a number of non-dominated solutions. Each such solution has been improved by a novel technique based on Support Vector Machine (SVM) classification. Thereafter, the final clustering solution is produced by majority voting ensemble technique of all improved solutions. The performance of the proposed multiobjective clustering method has been compared to several other microarray clustering algorithms for three publicly available benchmark cancer data sets, viz., leukemia, Colon cancer and Lymphoma data to establish its superiority. Also statistical significance tests have been conducted to establish the statistical superiority of the proposed clustering method.