Vol. 7 No. 4 (2025): Desember
Open Access
Peer Reviewed

Fuzzy geographically weighted clustering in grouping regencies/cities in Kalimantan island based on the human development index indicators

Authors

Milda Alfitri Diani , Memi Nor Hayati , Rito Goejantoro

DOI:

10.29303/jm.v7i4.9977

Published:

2025-12-23

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Abstract

Fuzzy Geographically Weighted Clustering (FGWC) is a method of development of fuzzy clustering by considering geographical elements in the process of regional clustering. This study aims to identify the number and characteristics of optimal clusters formed using the FGWC algorithm with the validity index of the Partition Coefficient Index (PCI). The data analyzed includes HDI indicators for all regencies/cities on the island of Kalimantan in 2024 consisting of the variables Life Expectancy, Length of Schooling, Average School Length, Expenditure per Capita, Open Unemployment Rate, and Percentage of Poor Population. Based on the results of the study, the optimal number of clusters was obtained as many as 2 clusters with a PCI of 0.516. Cluster 1 consists of 18 regencies/cities covering 9 cities and 9 regencies with higher average values of HDI indicator variables, while cluster 2 consists of 38 regencies which are all dominated by inland areas with lower average values of HDI indicator variables.

Keywords:

Fuzzy Geographically Weighted Clustering Human Development Index Partition Coeficient Index

References

Anoraga, P., & Rachmansyah, Y. (2022). Analisis faktor-faktor yang mempengaruhi indeks pembangunan manusia (IPM) kota Semarang. Jurnal AKTUAL, 20(1), 212–222. https://doi.org/10.47232/aktual.v20i1.157

Fadlurohman, A., Utami, T. W., Amrullah, S., Roosyidah, N. A. N., & Dhani, O. R. (2025). Fuzzy geographically weighted clustering with optimization algorithms for social vulnerability analysis in java island. Jurnal Barekeng, 19(3), 1841–1852. https://doi.org/10.30598/barekengvol19iss3pp1841-1852

Hermawan, & Hasugian, H. (2022). Penerapan data mining untuk clustering indeks pembangunan manusia berdasarkan provinsi di Indonesia. Seminar Nasional Mahasiswa Fakultas Teknologi Informasi (SENAFTI), 1(1), 525–532.

Juliarini, A. (2019). Kinerja pendapatan daerah terhadap peningkatan indeks pembangunan manusia. Simposium Nasional Keuangan Negara, 1(1), 934–957. https://jurnal.bppk.kemenkeu.go.id/snkn/article/view/228

Maliku, E. T., Rais, & Fajri, M. (2022). Pengelompokan kabupaten/kota di provinsi Sulawesi Tengah berdasarkan indikator pembangunan ekonomi menggunakan fuzzy geographically weighted clustering. Jurnal Ilmiah Matematika Dan Terapan, 19(1), 130–143. https://doi.org/10.22487/2540766x.2022.v19.i1.15868

Mashfuufah, S., & Istiawan, D. (2018). Penerapan partition entropy index , partition coefficient index dan xie beniindex untuk penentuan jumlah klaster optimal pada algoritma fuzzy c-means dalam pemetaan tingkat kesejahteraan penduduk Jawa Tengah. Prosiding The 7th University Research Colloquium, STIKES PKU Muhammadiyah Surakarta, 51–60.

Mashfufah, S., Nur, I. M., & Darsyah, M. Y. (2021). Fuzzy geographically weighted clustering dengan gravitational search algorithm pada kasus penyandang masalah kesejahteraan sosial di provinsi jawa tengah. Jurnal Litbang Edusaintech, 2(1), 27–36. https://doi.org/10.51402/jle.v2i1.10

Nugroho, A. S., Nur, I. M., & Haris, A. L. (2019). Analisis clustering dengan fuzzy geographically weighted clustering (FGWC) pada indikator indeks pembangunan manusia di Indonesia. Jurnal Universitas Muhammadiyah Semarang, 8(1), 1-10.

http://repository.unimus.ac.id/

Pendi. (2021). Analisis regresi dengan metode komponen utama dalam mengatasi masalah multikolinearitas. Buletin Ilmiah Math. Stat. dan Terapannya (Bimaster), 10(1), 131–138.

Permana, I., & Salisah, F. N. (2022). Pengaruh normalisasi data terhadap performa hasil klasifikasi algoritma backpropagation. IJIRSE: Indonesian Journal of Informatic Research and Software Engineering, 2(1), 67–72.

https://journal.irpi.or.id/index.php/ijirse

Siswati, E., & Hermawati, D.T. (2018). Analisis indeks pembangunan manusia (IPM) kabupaten Bojonegoro. Jurnal Universitas Wijaya Kusuma Surabaya, 18 (2), 93-114. https://journal.uwks.ac.id/sosioagribis/article/view/531/510

Suciati, I., Herawati, N., Subian, S., & Widiarti. (2022). Analisis klaster menggunakan metode fuzzy c-means pada data covid-19 di provinsi Lampung. Prosiding Seminar Nasional Sains dan Matematika (SNSMIPA) ke-6 Universitas Lampung, 66–73.

Wandira, S. N., Zilrahmi., Syafriandi., & Fitri, F. (2023). Fuzzy geographically weighted clustering analysis for sectoral potential gross regional domestic product in West Sumatera. UNP Journal of Statistics and Data Science, 1(5), 405–412. https://doi.org/10.24036/ujsds/vol1-iss5/109

Author Biographies

Milda Alfitri Diani, Universitas Mulawarman

Author Origin : Indonesia

Memi Nor Hayati, Mulawarman University

Author Origin : Indonesia

Rito Goejantoro, Mulawarman University

Author Origin : Indonesia

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How to Cite

Diani, M. A., Hayati, M. N., & Goejantoro, R. (2025). Fuzzy geographically weighted clustering in grouping regencies/cities in Kalimantan island based on the human development index indicators. Mandalika Mathematics and Educations Journal, 7(4), 2245–2257. https://doi.org/10.29303/jm.v7i4.9977

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