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Journal : Jurnal Algoritma

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Perbandingan Algoritma K-means, Fuzzy C-means, dan Hierarchical clustering pada Klasterisasi Tingkat Pemahaman Siswa dalam Pembelajaran Berdiferensiasi Ripai, Ahmad; Baskoro, Yudha; Imelda
Jurnal Algoritma Vol 22 No 2 (2025): Jurnal Algoritma
Publisher : Institut Teknologi Garut

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.33364/algoritma/v.22-2.2890

Abstract

Differentiated learning is a teaching and learning process tailored to the unique characteristics of each student. The main challenge in implementing differentiated learning lies in teachers’ difficulty in understanding the varying levels of students’ comprehension, particularly in informatics subjects. This study aims to compare the K-means, Fuzzy C-means, and Hierarchical Clustering algorithms in grouping students based on academic performance, using daily scores, knowledge, and skill scores of grade X students at SMK Citra Nusantara. The contribution of this research is the application of weighting on the parameters used to improve clustering results. The assigned weights are 0.2 for daily scores, 0.4 for knowledge, and 0.4 for skills when using three parameters, giving a smaller weight to daily scores. If only two parameters are used, the weighting is adjusted so that the total weight equals 1. The evaluation metrics applied are the Silhouette Index, Calinski-Harabasz Index, and Davies-Bouldin Index. The results show that the K-means method outperforms Fuzzy C-means and Hierarchical Clustering. The Silhouette Index is considered the most ideal because it evaluates two aspects simultaneously: cohesion (compactness within clusters) and separation (distinctness between clusters). However, a combination of the Silhouette Index, Davies-Bouldin Index, and Calinski-Harabasz Index is still required to achieve optimal results. The testing results for K-means, evaluated using the Silhouette Index, Davies-Bouldin Index, and Calinski-Harabasz Index, respectively, are 0.350125, 0.822452, and 1157.806. The best clustering outcome with two clusters categorized students into “very good” and “good” groups.
Co-Authors Ade Novita Sari Harahap Adhiba Nur Fayyad Adhitya Pradana Pakpahan Adisty Garandina Adlis Santoni Admi Adrian Pane, Gandi Ahmad Amirul Sir Ahmad Farid Ahmad Ripai Aldy Rinaldi, Aldy Alghifari Mahdi Igamo Ali Machmud Badarudin Anggriany, Martania Ani Marlia Anita Kurnia Sari Annisa Aprella, Vena Ariba Solin Arief Armando Ariescha, Nurul Arista Purnama, Rifky Arsidin Batubara Aryanes Asmara, Gita Azwaldi Azwardi Bambang Baskoro, Yudha Buhori Connie Cutyanti, Cici Darinda Sofia Tanjung Deswita, Elvira Devita Syaharani Dina Octaria Dingin Sibayang Dr. Husnul Madihah, M.Pd Dwi Dwi Yunita, Dwi Dyan Wulan Sari Hs Edison Siregar Eka Khairani Hasibuan Eka Titin Nurmala Sari Elisabet Malau, Novia Emriadi Eva Dolorosa Fajri, Nova Fakhirah Husain Fakhrurrozi Fanie Indah Manik Fathul Zannah Febrianti, Anggi Febrina, Shelly Feri Oswari Fernando T, Franky FITRIA NINGSIH Fitriani Gibran, Kholil Hafidhun Annas Hakam Ali Niazi Halimatusa’diah Harunurrasyid, Harunurrasyid Hasmila Sari Heka Maya Sari Br Sembiring Hendra Saputra Hendra, Adesius Herka, Sri Nadra Hermansyah Aziz Hidayat, Ravindra Safitra Hikmah , Maulida Husna Imro'athush Sholihah Icha Patadungan Indah Rahayu Lestari Iradhad Taqwa Sihidi Ismar Agustin Istiqlaliyah, Muthi’ah IVAN ANDRI GUNAWAN Ivanda, Riko Jarkawi Jarkawi Jufri, Qory Sidwa Jusmarni Kirana Bayu Saputra Kleden-Probonegoro, Ninuk Laiy, Victorianus Lugianus Andika Roy, Steven Luiz Figo Resda, Valentino Lukman Martunis MAGHFIRAH Maharani Putri, Dian Mardalena Marthauli Perdede Mawar Fauzia R Mega Fatimah Rosana Misbahul Muna MUHAMMAD TEGUH, MUHAMMAD Muliyadi Mulyanti Nabilla Nadella Nathalia Ramadhanti Nazarena, Yuli Hartati Nazarena, Yunita Neti Hartaty Nida, Rahma Nisa Afinah Nisrina Nola Riski Amelia Novani Maryam Rambe Nur Alifah Syahrani Nur Indri Yani Nurliasari, Suci Nursalamah Ostari, Dwi Ningsih Pernanda, Perdi Putri, Yunike Rachmalia, Rachmalia Rahayuningsih, Sri Intan Rahmatullah Ramadhan, Puja Rizqy Ramadhani Abustan Ratmoro, Nayumi Fadila Ratna Ningsih Retno Fuji Oktaviani Rinny Meidiyustiani Rizqa Annisa Dwiatmoko Salasa Nilawati, Nurul Salsabila, Muthia Afifah Sarinda, Maria Elsanda Riva Sartono Sartono, Sartono Silaban, Patri Sister, Maya Gian Siti Kholipah Sitti Murdiana Sri Hayati, Sri Suci Anugrah, Adis Sumarsih Suryati Syahbana, Rezky Aulianur Syarifa Atika Syifa, Aulia Teja Kusuma, Resin Putra Utami Harjantini, Utami Wahyu Maulana, Wahyu Waldi Novi Yarsah Wijaya, Febri Yessi Yohana Yohanes, Vian Yuniarti, Emylia Yunika Lestaria Ningsih