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All Journal dCartesian: Jurnal Matematika dan Aplikasi Seminar Nasional Variansi (Venue Artikulasi-Riset, Inovasi, Resonansi-Teori, dan Aplikasi Statistika) BAREKENG: Jurnal Ilmu Matematika dan Terapan Mosharafa: Jurnal Pendidikan Matematika Panrannuangku Jurnal Pengabdian Masyarakat Jurnal Pengabdian Kepada Masyarakat Patikala Seminar Nasional Pengabdian Kepada Masyarakat Jurnal Pengabdian Masyarakat Bangsa Jurnal Hasil-Hasil Pengabdian dan Pemberdayaan Masyarakat (JHP2M) SMART: Jurnal Pengabdian Kepada Masyarakat Journal of Mathematics, Computation and Statistics (JMATHCOS)
Sidjara, Sahlan
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Journal : Journal of Mathematics, Computation and Statistics (JMATHCOS)

 1 
Penerapan Metode CLARA dalam Pengelompokan Indeks Pembangunan Manusia Kabupaten/Kota Provinsi Sulawesi Selatan Irwan; Sidjara, Sahlan; Muhjria
Journal of Mathematics, Computations and Statistics Vol. 7 No. 1 (2024): Volume 07 Nomor 01 (April 2024)
Publisher : Jurusan Matematika FMIPA UNM

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.35580/jmathcos.v7i1.1946

Abstract

Analisis klaster merupakan salah satu teknik untuk mengelompokan objek-objek sesuai kemiripan ciri yang dimilikinya. Analisis klaster terbagi menjadi dua yaitu hierarki dan non-hierarki. Penelitian ini menerapkan analisis klaster non-hierarki yaitu metode CLARA untuk menentukan klaster Kabupaten/Kota di Provinsi Sulawesi Selatan berdasarkan indikator Indeks Pembangunan Manusia (IPM) tahun 2020 dan 2021. IPM memiliki empat indikator yaitu umur harapan hidup, harapan lama sekolah, rata-rata lama sekolah, dan pengeluaran perkapita disesuaikan. Metode penelitian ini menggunakan metode CLARA dan data dari Badan Pusat Statistik Provinsi Sulawesi Selatan. Ukuran Jarak Yang digunakan adalah jarak Euclidean, dan untuk menentukan jumlah klaster terbaik menggunakan nilai koefisien Silhouette. Hasil klaster dengan nilai koefisien Silhouette dari metode CLARA diperoleh 2 klaster, yaitu klaster 1 dengan kategori indeks pembangunan manusia sedang ditempati oleh Kab. Kep. Selayar, Kab. Bulukumba, Kab. Bantaeng, Kab. Jeneponto, Kab. Takalar, Kab. Gowa, Kab. Sinjai, Kab. Maros, Kab. Pangkajene Kepulauan, Kab. Barru, Kab. Bone, Kab. Soppeng, Kab. Pinrang, Kab. Enrekang, Kab. Luwu, Kab. Tana Toraja, Kab. Luwu Utara, dan Kab. Toraja Utara. Sedangkan klaster 2 dengan kategori Indeks Pembangunan Manusia tinggi ditempati oleh Kab. Wajo, Kab. Sidenreng Rappang, Kab. Luwu Timur, Kota Makassar, Kota Pare-pare, dan Kota Palopo.
Suatu Kajian Tentang B-Aljabar Sanusi, Wahidah; Abdy, Muhammad; Sidjara, Sahlan; Asni, Asriani Arsita
Journal of Mathematics, Computations and Statistics Vol. 3 No. 2 (2020): Volume 03 Nomor 02 (Oktober 2020)
Publisher : Jurusan Matematika FMIPA UNM

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Abstract

This research is a literature studies that aims at reviewing the concepts and properties of B-Algebras. The concept of B-Algebras in this article is based on research that has been done by Neggers and Kim and Allen. All discussions in this article use the firm sets, both finite sets and infinite sets. As a result, more complete evidence of the properties of B-Algebras can be given and its relationship with the group. A group with a specific operation and has as an identity element is a B-Algebras. Moreover, a number of group theorems can be derived into B-Algebra such as natural mapping and the First Isomorphism Theorems which in their proof have similarities to the proofs of groups while still using the properties of B-Algebra itself.
APPLICATION OF GENERALIZED AUTOREGRESSIVE CONDITIONAL HETEROSKEDASTICITY (GARCH) MODEL IN FORECASTING THE MARKET PRICE OF NICKEL IN INDONESIA Sidjara, Sahlan; Sanusi, Wahidah; Nyulle, Rusdianto
Journal of Mathematics, Computations and Statistics Vol. 8 No. 2 (2025): Volume 08 Nomor 02 (Oktober 2025)
Publisher : Jurusan Matematika FMIPA UNM

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.35580/jmathcos.v8i2.9798

Abstract

Indonesia is one of the largest nickel exporting countries in the world, with the increasing demand for electric vehicles making nickel a target for producers. The increase in nickel demand makes it necessary to increase the observation of nickel prices to maintain the sustainability of the mining industry and economic growth. The purpose of this study is to forecast the price of Indonesia's nickel market using the GARCH method. The GARCH method is one of the methods used in time series data modeling that identifies heteroscedatic effects. The steps taken are to analyze the training data, check the stationery, estimate the parameters, and test the diagnostic model, then the best ARIMA model is selected based on the smallest AIC value, namely ARIMA (0,1,1). The residual values of the best ARIMA models are then used to determine the GARCH model. The best GARCH model obtained is GARCH (0.1) with an AIC value of 19.04061. Furthermore, forecasting was carried out using the GARCH model (0.1) and comparing the forecast results with the testing data to obtain MAPE values. The MAPE value obtained is 17.67014 % which shows that the GARCH model (0.1) has good forecasting accuracy, so this model is quite feasible to be used in forecasting the price of Indonesia's nickel market.
Co-Authors Abdul Rahman Abdullah, Adib Roisilmi ahmad yani Ahmad Zaki Ali, Ichsan Angraeni, Yuniar Armasari, Fanny Asdar Asdar Ashari, Elza Rahayu asmaun, asmaun Asni, Asriani Arsita Asni, Asriani Asnita Darmawang, Darmawang Darwis M, Muhammad Detrin Ombi, Natalia Djam'an, Nurwati Djam’an, Nurwati Fajar Arwadi HASNAWI HARIS, HASNAWI Intan , Wirninda Irwan Irwan Irwan Ishak, Nurhalisa Ja’faruddin, Ja'faruddin Kautsar Qadry, Ikhbariaty Khadijah Khadijah Muhammad Abdy Muhammad Isbar Pratama Muhammad Syukur Muhjria Munawwarah, Nita Madinatul Mutmainnah MR, Luthfiah Nabila, Khairunnisa An Nyulle, Rusdianto Rahman, Muhammad Fatur Rahmat Syam Rusdi, Nur Risma Safitri N.N, Novi Suarlin Suarlin, Suarlin Sudarmin Sudarmin Sutamrin Syafruddin Side Syahrullah Asyari, Syahrullah Wahidah Sanusi Wahyuni, Maya Sari Waliyullah, Akbar