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Implements\nadvanced silhouette width computations for diverse clustering\nstructures, including: simplified silhouette (Van der Laan et\nal., 2003) , Probability of\nAlternative Cluster normalization methods (Raymaekers &\nRousseeuw, 2022) , fuzzy\nclustering and silhouette diagnostics using membership\nprobabilities (Campello & Hruschka, 2006; Menardi, 2011; Bhat &\nKiruthika, 2024) ,\n,\n, and multi-way clustering\nextensions such as block and tensor clustering (Schepers et\nal., 2008; Bhat & Kiruthika, 2025)\n,\n. 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