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Journal : Limits: Journal of Mathematics and Its Applications

Evaluasi Regresi Terklaster Fuzzy Spasial Simultan dengan Pendekatan Simulasi Hasanah, Siti; Aidi, Muhammad Nur; Djuraidah, Anik
Limits: Journal of Mathematics and Its Applications Vol. 22 No. 3 (2025): Limits: Journal of Mathematics and Its Applications Volume 22 Nomor 3 Edisi No
Publisher : Pusat Publikasi Ilmiah LPPM Institut Teknologi Sepuluh Nopember

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Abstract

Spatial data refers to data that contains information related to the geographical characteristics of a region. As spatial data evolves into large-scale datasets, efficient analytical methods are required for processing the data. One such method suitable for analyzing large-scale spatial data is spatial fuzzy clustering. This method allows for the adjustment of cluster weights based on data likelihood, making it more capable of capturing the actual local variations present in spatial data. In this study, two types of spatial fuzzy clustering methods were evaluated through simulation: the method with a spatial penalty, Spatial Fuzzy Clustered Regression (SFCR), and the method without a spatial penalty, Fuzzy Geographically Weighted Clustering Regression (FGWCR). SFCR is a method that combines spatial clustering and regression modeling simultaneously, resulting in more efficient computation time. FGWCR produces clusters by considering both spatial proximity and attribute similarity, making it effective for spatial data analysis. The data were designed to form six clusters during the simulation process. The simulation results showed that the SFCR method was more capable of accurately capturing data variation and cluster distribution. The R² values for SFCR at a fuzziness degree of 2 and under weak, moderate, and strong spatial autocorrelation were 99.7%, 99.6%, and 99.5%, respectively, while the R² values for FGWCR were 98.5%, 98.6%, and 98.1%. Model performance was evaluated using RMSE, where lower RMSE values indicate better performance. The RMSE values for the SFCR method at a fuzziness degree of 2 and under weak, moderate, and strong spatial autocorrelation were 0.30, 0.289, and 0.298, respectively, while the RMSE values for the FGWCR method were 0.659, 0.541, and 0.551.
Co-Authors Abdul Wahab Abdullah, Ikhlas Abdurakhman, Omon Abdurakhman, Omon Adawiyah, Saidatul Afriani, Nur Aida, Siti Noor Anak Agung Istri Sri Wiadnyani Andriego , Johan Anggia, Mela Anggina, Viona Novi Anik Djuraidah Apriani, Nurhapni Arif Rohman Hakim Arumsari, Vita Aryani, Roza Arzhi Jiwantara, Firza Arzyana Sunkar Athirah, Zahra Cahya Dewi , Desti Daniati, Sy. Effi Daska Azis Dian Priharja Putri Dwihari, Desmarita Dwinata, Alona Edi Purwanto Efriyeldi, Efriyeldi Enjang Ali Nurdin Eristono, Eristono Eva Rachmawati Fachry Abda El Rahman Fahmi Fahmi Faqri, Rui Farah, Rinah Farizka Susandra Fauziah, Chusnul Firdaus, Muhammad Arwi Firzhal Arzhi Jiwantara Fitriyani, Eka Rika H. Ahmad Hanafi, SKM, M.Kes Habiby, Zamroni Hamsi Mansur Harahap, Diana Fajar Harahap, Diana Fajar Anggraini Hartono, Pierdijono Hasyim, Hafid Herbert Siregar Ibrahim Ali Ibrahim Ibrahim Ida Nurhayati Idhar, Idhar Idris, Haziq Ihsan, Khaerul Intan, Selpia Inten Risna Islahudin Iswahyu Pranawukir Jarwoto, Jarwoto Jepisah, Doni Jiwantar, Firzhal Arzhi JUBAEDAH JUBAEDAH, JUBAEDAH Junaidi, M. Junayah, Yayah Katrinasari, Mella Khoirunisa, Assyfa Tuzzahra Kholili, Ulil Kraugusteeliana Kraugusteeliana Kubtiyah Ritonga, Mariyatul Kurnia, Anang Kurniawan, Cahyadi Kurniawati, Ade LATIFAH Lestari, Suryani Sri Linawati Linawati LUKMAN, LUKMAN Maemaunah, Maemaunah Mahfudoh, Siti Mahmudah Maimun, Nur Mardhotillah, Mai'syah Mardiyah Hayati Mardiyanti, Yanti Maria Ulfah Marlina, Latifah Mas Nur Mukmin Maulana, Irsyad Mayrany, Sri Eva Mella Katrinasari Meti Ekayani Milad, Mohammad Khusnu Mu'in, Fathul MUHAMMAD ALI Muhammad Ichsan Muhammad Nur Aidi Mukhlishin, Mukhlishin Mustika Widowati Mustika Widowati, Mustika Muttaqien, Zedi Nanang Supriadi Nandang Alamsah Deliarnoor Nasution, Fadli Ripai Neneng Yani Yuningsih Norliani Norsari, Devi Novianti Novianti Nugraha, Muhammad Ardi Nur Aisyah Suparni Nur Maziyah Ulya, Nur Maziyah Nurdianti, Dewi Nurhaeni Nurhaeni Nurhayati Al Ismiarif Nurhayati Nurhayati Nurhayati, Elis Nurmalahayati, Yasinta Nurul Huda Nusmiyati, Nusmiyati Oktarina, Devi Pahrul, Yolanda Pomalingo, Dewi Zulyani Pratama, Inka Nusamuda Puspandari, Maristha Rio Putra, Guntur Ilman Putri, Alifia Tiara Putri, Dinda Maharani Rahmah, Farisa Rahmat, Al Fauzi Rahmi Wahyuni, Rahmi Ridwan, Ridwan Ritonga, Muhammad Ali Sukri Rizani, Loqman Rizka Rizka, Rizka Rizki Wahyu Yunian Putra Rokhmania Nurmaeni Romadhon, Hindun Mutiara Rossi Maunofa Widayat Rowanda, Okta Destra S, Nurjannah Saddam Saddam Safitri, Zainal Safri, Zainal Sahrul, Sahrul Saidah Salahudin Salahudin Samhudi, Moh. Saniman Widodo Saputra, Rengki Sari , Muthia Sari, Erlina Sari, Mella Katrina Sari, Muthia Sari, Tri Purnama Sarip, Sarip Sa’adiyah, Halimah Shofiana, Aulia Nanda Shofwani, Siti Aniqoh Sidiq Syamsul Hidayat, Sidiq Syamsul Siregar, Tapi Rumondang Siregar, Tuti Sriwahyuni Siti Aminatun Jazila Siti Hajar Siti Nuraeni, Siti Solihin, Dadin Sopa, Juana Soraya, Fitri Sri Hardiningsih Sri Hidayati Sri Yanti Suci Rahmadani Suhaeti, Eti Suhailin Sujaah, Aah Supriyadi, Adi Suryani Sri Lestari Susi Herawati Syafril Syafril Syafrina, Riska Nur Syafruddin Syafruddin Syahril Chaniago, Syahril Syamnur, Rizka Amelia Thamrin Kamaruddin, Thamrin Titik Wahyuningsih Tri Handayani Warnadhani, Etmin Wen Via Trisna Widiyawati, Erli Widodo, Saniman YANTO SANTOSA Yona, Fitria Mai Yuliawati, Lia Yundari, Yundari Yuni, Veronika Yusanti, Yuniar