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All Journal International Journal of Electrical and Computer Engineering IAES International Journal of Artificial Intelligence (IJ-AI) TELKOMNIKA (Telecommunication Computing Electronics and Control) Bulletin of Electrical Engineering and Informatics CESS (Journal of Computer Engineering, System and Science) Jurnal Teknologi Informasi dan Komunikasi InfoTekJar : Jurnal Nasional Informatika dan Teknologi Jaringan Sinkron : Jurnal dan Penelitian Teknik Informatika JOURNAL OF INFORMATICS AND TELECOMMUNICATION ENGINEERING JURNAL MEDIA INFORMATIKA BUDIDARMA Abdimas Talenta : Jurnal Pengabdian Kepada Masyarakat Juripol (Jurnal Institusi Politeknik Ganesha Medan) Jurnal Teknovasi : Jurnal Teknik dan Inovasi Mesin Otomotif, Komputer, Industri dan Elektronika MATRIK : Jurnal Manajemen, Teknik Informatika, dan Rekayasa Komputer Query : Jurnal Sistem Informasi Zero : Jurnal Sains, Matematika, dan Terapan JURIKOM (Jurnal Riset Komputer) Data Science: Journal of Computing and Applied Informatics Jurdimas (Jurnal Pengabdian Kepada Masyarakat) Royal JOURNAL OF SCIENCE AND SOCIAL RESEARCH ComTech: Computer, Mathematics and Engineering Applications Building of Informatics, Technology and Science Jurnal Mantik Indonesian Journal of Education and Mathematical Science International Journal of Advances in Data and Information Systems Randwick International of Social Science Journal Jurnal Scientia Budapest International Research and Critics Institute-Journal (BIRCI-Journal): Humanities and Social Sciences Journal of Applied Data Sciences TECHSI - Jurnal Teknik Informatika Prisma Sains: Jurnal Pengkajian Ilmu dan Pembelajaran Matematika dan IPA IKIP Mataram Jurnal Pemberdayaan Sosial dan Teknologi Masyarakat Proceeding of International Conference on Information Science and Technology Innovation (ICoSTEC) The Indonesian Journal of Computer Science Journal of Digital Market and Digital Currency
Efendi, Syahril
Department Of Computer Science And Information Technology, University Of North Sumatra, Indonesia
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Journal : JOURNAL OF SCIENCE AND SOCIAL RESEARCH

 1 
OPTIMALISASI VALIDITAS KLASTERISASI IPM MELALUI PENERAPAN VARIASI DISTANCE MEASURE PADA ALGORITMA K-MEANS++ Sipayung, Sardo Pardingotan; Efendi, Syahril
JOURNAL OF SCIENCE AND SOCIAL RESEARCH Vol 8, No 4 (2025): November 2025
Publisher : Smart Education

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.54314/jssr.v8i4.5420

Abstract

Abstract: The Human Development Index (HDI) is an important indicator for measuring the quality of regional development through the dimensions of health, education, and decent living standards. In North Sumatra Province, HDI achievements between districts/cities still show significant disparities, requiring a data-based analytical approach to map development patterns objectively. This study aims to optimize the validity of regional HDI clustering through the application of the K-Means++ algorithm with distance measure variations. This study uses a quantitative approach with an unsupervised learning method. The data analyzed includes HDI, Average Length of Schooling (ALS), and Adjusted Per Capita Expenditure sourced from the Central Statistics Agency. The research stages include data preprocessing and standardization, determining the optimal number of clusters using the Elbow method, applying the K-Means++ algorithm, and evaluating cluster quality using the Davies–Bouldin Index (DBI) and Purity Index. In addition, a comparison of clustering performance based on Euclidean, Manhattan, and Cosine distances was conducted. The results of the study show that the optimal number of clusters is three clusters representing high, medium, and low levels of human development. A DBI value of 0.60 and a Purity Index of 0.61 indicate good clustering quality. Euclidean and Manhattan distances produced the best performance compared to Cosine distance. Keyword: Human Development Index; K-Means++; Clustering; Distance Measure; Davies–Bouldin Index; Purity Index. Abstrak: Indeks Pembangunan Manusia (IPM) merupakan indikator penting untuk mengukur kualitas pembangunan wilayah melalui dimensi kesehatan, pendidikan, dan standar hidup layak. Di Provinsi Sumatera Utara, capaian IPM antar kabupaten/kota masih menunjukkan ketimpangan yang cukup signifikan, sehingga diperlukan pendekatan analitis berbasis data untuk memetakan pola pembangunan secara objektif. Penelitian ini bertujuan untuk mengoptimalkan validitas klasterisasi IPM wilayah melalui penerapan algoritma K-Means++ dengan variasi distance measure. Penelitian ini menggunakan pendekatan kuantitatif dengan metode unsupervised learning. Data yang dianalisis meliputi IPM, Rata Lama Sekolah (RLS), dan Pengeluaran per Kapita Disesuaikan yang bersumber dari Badan Pusat Statistik. Tahapan penelitian mencakup praproses dan standarisasi data, penentuan jumlah klaster optimal menggunakan metode Elbow, penerapan algoritma K-Means++, serta evaluasi kualitas klaster menggunakan Davies–Bouldin Index (DBI) dan Purity Index. Selain itu, dilakukan perbandingan kinerja klasterisasi berdasarkan Euclidean, Manhattan, dan Cosine distance. Hasil penelitian menunjukkan bahwa jumlah klaster optimal adalah tiga klaster yang merepresentasikan tingkat pembangunan manusia tinggi, menengah, dan rendah. Nilai DBI sebesar 0,60 dan Purity Index sebesar 0,61 menunjukkan kualitas klasterisasi yang baik. Euclidean dan Manhattan distance menghasilkan performa terbaik dibandingkan Cosine distance. Kata kunci: Indeks Pembangunan Manusia; K-Means++; Klasterisasi; Distance Measure; Davies–Bouldin Index; Purity Index.
Co-Authors Abdulbasah Kamil, Anton Abi Rafdi Ahmad Rozy Ahmadi, Fauzan Nur Al Khowarizmi Aminuyati Andysah Putera Utama Siahaan Arjon Turnip Asrizal Asrizal Badawi, Afif Br Bangun, Desy Milbina Br Ginting, Dewi Sartika Budi K. Hutasuhut Chairil Umri Dadang Priyanto Devi Maiya Sari Nasution Dewi Sartika Br Ginting Erna Budhiarti Erna Budhiarti Nababan Erna Budhiarti Nababan Fahmi Fahmi Fajar Muhajir Fatma Sari Hutagalung Fauzan Nurahmadi Fauzi Amri Fuzy Yustika Manik Fuzy Yustika Manik, Fuzy Yustika Ginting, Dewi Sartika Br Halim Maulana Hamzani, Fitri Rezky Harahap, Lailan Hariyati Lubis, Hariyati Harumy, T. Henny Febriana Hasibuan, Nisma Novita Hasugian , Paska Marto Hengki Tamando Sihotang Hengki Tamando Sihotang Herianto, Tulus Joseph Herimanto Herimanto herman mawengkang Herman Mawengkang Hotmaida Lestari Siregar Ichsanuddin Hakim Ignazio Ahmad Pasadana Iin Parlina Imanuel Zega Indah Purnama Sari Indra Edy Syahputra Irzal Sofyan Ivan Jaya Jaya, Ivan Khowarizmi, Al- Lailan Harahap Lidya Rosnita lili Tanti Lubis, Fahrurrozi M Safii M. Isa Indrawan Mahyuddin K. M Nasution Manurung, Rodiyah Aini Mardiansyah, Heru Marischa Elveny, Marischa Maya Silvi Lydia Mesran, Mesran Mochamad Wahyudi Mohammad Andri Budiman Muhammad Iqbal Muhammad Iqbal Muhammad Riki Atsauri Muhammad Rusdi dan Afritha Amelia - Muhammad Zarlis Muhammad Zarlis Muhammad Zarlis Muhammad Zarlis Muhammad Zarlis Muhammad Zarlis Muhammad Zarlis, Muhammad Muliawan Firdaus Mulkan Azhari Naemah Mubarakah Nainggolan, Pauzi Ibrahim Nugroho Syahputra Oktaviana Bangun Pahala Sirait Pauzi Ibrahim Nainggolan Poltak Sihombing Poltak Sihombing Poltak Sihombing Poltak Sihombing Poltak Sihombing Poltak Sihombing Prayoga, Nanda Dimas Purwanto Purwanto Rahmad Syah Rika Permata Sari Siregar Rizki Suwanda Saib Suwilo Santoso, Zikri Akmal Saraswati Yoga Andriyani Sarif, Muhammad Irfan Sawaluddin Sawaluddin Sembiring, Rahmat W Seniman Seniman Seniman Seniman, Seniman Siagian, Deliyana Simamora, Windi Saputri Sipayung, Sardo Pardingotan Solly Aryza Sri Dwi Hastuti Sri Melvani Hardi Suherman Suherman Suherman, Suherman Sutarman Sutarman Sutarman Sutarman Syah, Rahmad B. Y. Syahputra, Indra Edy Syahputra, Muhammad Romi Syahraini, Syahraini Syahriol Sitorus T. Henny Febriana Harumy Taufiqurrahman Taufiqurrahman Tulus Joseph Herianto Tulus Tulus Tulus Tulus Vinsensia, Desi Watts, Michael J. Weber, Gerhard Wilhelm yeni absah Yeni Absah Yudhistira Yudhistira Yudhistira Zakarias Situmorang Zuhri Ramadhan Zulkarnain Lubis