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All Journal JTAM (Jurnal Teori dan Aplikasi Matematika)
Putroue Keumala Intan
Department of Mathematic, Islamic State of Sunan Ampel Surabaya University
Mathematics

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Cluster Analysis of Environmental Pollution in Indonesia Using Complete Linkage Method with Elbow Optimization Adelia Damayanti; Wika Dianita Utami; Dian Candra Rini Novitasari; Putroue Keumala Intan; Mohammad Lail Kurniawan
JTAM (Jurnal Teori dan Aplikasi Matematika) Vol 7, No 2 (2023): April
Publisher : Universitas Muhammadiyah Mataram

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.31764/jtam.v7i2.12961

Abstract

The issue of environmental contamination remains unsolved. The problem continues to have a substantial detrimental impact. This research aimed to identify provinces in Indonesia with high or low levels of environmental pollution so that the government may offer treatment to provinces with high levels of pollution and seek a significant reduction in the incidence of environmental pollution in Indonesia. Clustering is required to identify provinces with high and low pollution levels using the complete linkage method because this method can provide tight clusters and is less impacted by outliers. The analysis of the complete linkage method with Elbow optimization revealed two optimal clusters, namely high and low clusters. The high cluster consists of three provinces: Central Java, West Java, and East Java. The low cluster consists of 31 provinces. This research used a Silhouette Coefficient validity test. The value of the Silhouette Coefficient is 0.75. The value indicates that the data object is in the correct cluster and that the cluster structure is relatively strong.
Co-Authors Adelia Damayanti Dian Candra Rini, Dian Candra Mohammad Lail Kurniawan Wika Dianita Utami